Answer
$2x\sin \pi x+\pi x^{2}\cos \pi x$
Work Step by Step
$y=x^{2}\sin \pi x\Rightarrow y'=\left( \dfrac {d}{dx}x^{2}\right) \times \sin \pi x+\left( \dfrac {d}{dx}\sin \pi x\right) \times x^{2}=2x\sin \pi x+\pi x^{2}\cos \pi x$
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.