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What is the instantaneous rate of change of #f(x)=(x^2-2)e^(x+2 ) # at #x=1 #?

1 Answer

Mar 9, 2016

#f'(1)=e^3#

Explanation:

The instantaneous rate of change is the same as the derivative of the function.

We need the product rule to differentiate this function and using it gives

#f'(x)=(x^2-2)e^(x+2)+2xe^(x+2)#

#therefore f'(1)=(1-2)e^3+2e^3#

#=e^3#

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