# What is the instantaneous rate of change of #f(x)=(x^2-2)e^(x) # at #x=2 #?

I found

Thus, we obtain:

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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.

- What is the equation of the line tangent to # f(x)=(x-3)^2-x^2-3# at # x=5#?
- What is the instantaneous rate of change of #f(x)=(x^2-3x)e^(x) # at #x=2 #?
- What is the equation of the line tangent to # f(x)=(3x-1)(x+4) # at # x=3 #?
- What is the equation of the normal line of #f(x)=sqrt(2x^2-x)# at #x=-1#?
- What is the equation of the line normal to #f(x)= x^3+4x^2 # at #x=1#?

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