# What is the slope of the line normal to the tangent line of #f(x) = e^(x-2)+x-2 # at # x= 0 #?

Differentiating,

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To find the slope of the line normal to the tangent line of ( f(x) = e^{x-2} + x - 2 ) at ( x = 0 ), follow these steps:

- Find the derivative of ( f(x) ) using the rules of differentiation.
- Evaluate the derivative at ( x = 0 ) to find the slope of the tangent line.
- Calculate the negative reciprocal of the slope found in step 2 to find the slope of the line normal to 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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- How do you use the limit definition of the derivative to find the derivative of #f(x)=3x^2#?

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