Question

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

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

Answer 1

The correct option is D $\sin 2x$

Given $y=si{n}^{2}x$

on differentiation given function with respect to x , we get

$\Rightarrow$ $\frac{dy}{dx}$ = $2sinx.cosx$

$\Rightarrow$ $\frac{dy}{dx}$ = $sin2x$

so the answer of given uestion is $sin2x$.