# How do you find the equation of a tangent line to a curve?

There is no short answer since this is a general question.

You must have a differentiable function to find a tangent line to a curve.

Note that this is also the formula for linear approximation functions.

There are many examples of tangent line and linear approximation problems, so just search for them.

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To find the equation of a tangent line to a curve, follow these steps:

- Determine the point on the curve where the tangent line is desired.
- Find the derivative of the curve's equation.
- Substitute the x-coordinate of the point into the derivative to find the slope of the tangent line.
- Use the point-slope form of a line (y - y₁ = m(x - x₁)) and substitute the slope and the coordinates of the point to obtain the equation of the tangent line.

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When evaluating a one-sided 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 one-sided 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 one-sided 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.

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