What is $\frac{d}{dx}\left(\sqrt{\sin x}\right)$ for $0 < x < \pi$?

Explanation

1. 01

   $\frac{d}{dx}\sqrt{u} = \frac{u'}{2\sqrt{u}}$ with $u = \sin x$.

2. 02

   $\frac{\cos x}{2\sqrt{\sin x}}$.