Question

Differentiation of $\sin \left(x^2\right)$ w.r.t $x$ is

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

Answer 1

The correct option is B $2x\cos \left(x^2\right)$

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