How do you find parametric equations of a tangent line?
The parametric equations of the tangent line to the curve
So, if we pose:
we have:
The parametric equations are then:
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To find the parametric equations of a tangent line to a curve atTo find the parametric equations of a tangent line to a curve at a givenTo find the parametric equations of a tangent line to a curve definedTo find the parametric equations of a tangent line to a curve at a given pointTo find the parametric equations of a tangent line to a curve defined byTo find the parametric equations of a tangent line to a curve at a given point,To find the parametric equations of a tangent line to a curve defined by paramTo find the parametric equations of a tangent line to a curve at a given point, youTo find the parametric equations of a tangent line to a curve defined by parametricTo find the parametric equations of a tangent line to a curve at a given point, you followTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these stepsTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:
 Find the slope of the tangentTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:
1.To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent lineTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line atTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the pointTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point ofTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the givenTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given pointTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangencyTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point byTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency onTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by takingTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curveTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivativeTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve byTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative ofTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substitTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substitutingTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curveTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve'sTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameterTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametricTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter valueTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equationsTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value intoTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations withTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respectTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the paramTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect toTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametricTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equationsTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameterTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations toTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter. To find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter. 2.To find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the correspondingTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

UseTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (xTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x)To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointsTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) andTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslopeTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope formTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (yTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form ofTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y)To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of aTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinatesTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a lineTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates. To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line toTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates. 2To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to writeTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates. 2.To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

FindTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equationTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation ofTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivativeTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative ofTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangentTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of eachTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent lineTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each paramTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line usingTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametricTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equationTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the givenTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation withTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given pointTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respectTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point andTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect toTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slopeTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameterTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope foundTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter.To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found inTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. ThisTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in stepTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This willTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step To find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will giveTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1To find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give youTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1. To find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1. 3To find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes ofTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

ExpressTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curveTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equationTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve atTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation ofTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at variousTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various pointsTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangentTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points. To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent lineTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points. 3To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line inTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

EvaluateTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametricTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivativesTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric formTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives atTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by lettingTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting oneTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameterTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one ofTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value foundTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parametersTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found inTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters beTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in stepTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameterTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter ofTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 toTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to getTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curveTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve,To find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slopeTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, andTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope ofTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and thenTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solveTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangentTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve forTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent lineTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for theTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line. To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for the otherTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line. 4To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for the other parameterTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line. 4.To find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for the other parameter inTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line.

UseTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for the other parameter in termsTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line.

Use theTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for the other parameter in terms ofTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line.

Use the point ofTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for the other parameter in terms of the curveTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line.

Use the point of tangTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for the other parameter in terms of the curve'sTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line.

Use the point of tangencyTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for the other parameter in terms of the curve's parameterTo find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line.

Use the point of tangency andTo find the parametric equations of a tangent line to a curve at a given point, you follow these steps:

Find the slope of the tangent line at the given point by taking the derivative of the curve's parametric equations with respect to the parameter.

Use the pointslope form of a line to write the equation of the tangent line using the given point and the slope found in step 1.

Express the equation of the tangent line in parametric form by letting one of the parameters be the parameter of the curve, and then solve for the other parameter in terms of the curve's parameter.To find the parametric equations of a tangent line to a curve defined by parametric equations, you need to follow these steps:

Determine the point of tangency on the curve by substituting the given parameter value into the parametric equations to find the corresponding (x) and (y) coordinates.

Find the derivative of each parametric equation with respect to the parameter. This will give you the slopes of the curve at various points.

Evaluate the derivatives at the parameter value found in step 1 to get the slope of the tangent line.

Use the point of tangency and the slope of the tangent line to write the parametric equations of the tangent line using the pointslope form.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 For #f(t)= (lnte^t, t^2e^t)# what is the distance between #f(1)# and #f(2)#?
 How do you find the equations of tangent lines at the point where the curve crosses itself #x=t^2t# and #y=t^33t1#?
 How do you find a vector equation and parametric equations in t for the line through the point and perpendicular to the given plane. (P0 corresponds to t = 0.) P0 = (5, 0, 8) x + 2y + z = 9?
 What is the arclength of #(ln(t+3),lnt/t)# on #t in [1,2]#?
 How do you differentiate the following parametric equation: # x(t)=t, y(t)= 1tcost #?
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