Question

Find $\frac{dy}{dx}$ for $y=\tan \sqrt{\sin x}$.

Answer 1

Given,

$y=\tan \sqrt{\sin x}$

Now differentiating both sides with respect to $x$ we get,

$\frac{dy}{dx}={\sec }^2\sqrt{\sin x}.\frac{\cos x}{2\sqrt{\sin x}}$.