What is the equation of the line tangent to #f(x)= 3x^2 +x-5 # at #x=-1#?
We are given: At So, the point is at We first find the slope of the tangent line by taking the derivative of the function, and plugging in So, Therefore, the slope of the tangent line will be Now, we use the point-slope form to find the equation of the line, it is: where So, A graph proves it:
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The equation of the line tangent to f(x) = 3x^2 + x - 5 at x = -1 is y = -2x - 4.
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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.
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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