Answer
$y' = 3x^2e^x+x^3e^x$
Work Step by Step
In order to derivate this function you have to apply the product rule
$\dfrac{d}{dx}(ab) = a'b+ab'$
Then let's identify a and b and derivate them
$a=x^3$
$a' = 3x^2$
$ b=e^x$
$ b'=e^x$
Then substiute in the formula, simplify and get the answer:
$y' = 3x^2e^x+x^3e^x$
