Question

If $y=x^2\sin x$, then $\frac{dy}{dx}$ will be

• A. $x^2\cos x+2x\sin x$
• B. $2x\sin x$
• C. $x^2\cos x$
• D. $2x\cos x$

Answer 1

The correct option is A $x^2\cos x+2x\sin x$

$y=x^{2}sinx\frac{dy}{dx}=x^2\frac{d}{dx}\left(sinx\right)+sinx\frac{d}{dx}\left(x^2\right)=x^{2}cosx+2xsinx$