Find the Derivative of:

Question

F(x)= (x^2) (e^x) + (e^x)

would I use the product rule?

F'(x)= 2x(e^x) + (e^x) (x^2) + (e^x)
= (e^x) ( x^2 + 2x + 1 )

Answer 1

yes, you used the product rule correctly for the first term.

I wouldn't be surprised if your text factored the answer to get
e^x(x+1)^2

Answer 2

Oh okay thank you!