Question

How do you find the derivative of `f(x) = (x^3)(e^x)`?

Answer 1

`f'(x)=x^2e^x(3+x)`

Explanation:

You can use the Product Rule:
`f(x)=h(x)g(x)` derived gives you:
`f'(x)=h'(x)g(x)+h(x)g'(x)`

in your case:
`f'(x)=3x^2e^x+x^3e^x=x^2e^x(3+x)`