Question

Differentiation of $\sin x^2$ w.r.t. $x$ is

• A. $\cos x^2$
• B. $2x\cos x^2$
• C. $x^2\cos \left(x^2\right)$
• D. $-\cos 2x$

Answer 1

The correct option is B $2x\cos x^2$

$y=sin{x}^2\frac{dy}{dx}=cos\left(x^2\right)\frac{d}{dx}\left(x^2\right)=2xcos\left(x^2\right)$