Question

Solve $\frac{d}{dx}{\sin }^{n}x$

Answer 1

$\frac{d}{dx}{\sin }^{n}x\because \frac{d}{dx}{x}^n=n{x}^{n-1}$

$=n{\sin }^{n-1}x.\cos x\because \frac{d}{dx}\sin x=\cos x$