Answer
$y' = x^{2}e^{x}(x+3)$
Work Step by Step
$y = x^{3}e^{x}$
$y' = x^{3}e^{x} + 3x^{2}e^{x}$
$y' = x^{2}e^{x}(x+3)$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.