Answer
$\frac{dy}{dx}=3x^{2}\sin^2(5x)+10x^3\sin(5x)\cos(5x)$
Work Step by Step
$y=x^3sin^2(5x)$
$\frac{dy}{dx}=3x^{3-1}\times{sin^2(5x)}+(x^3\times2sin(5x)\times{cos(5x)}\times5)$
$\frac{dy}{dx}=3x^{2}sin^2(5x)+10x^3sin(5x)cos(5x)$
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.