Question

If $y=\log \left(\log \right(\sin x\left)\right)$ then find $\frac{dy}{dx}$.

Answer 1

Given,

$y=\log \left(\log \right(\sin x\left)\right)$

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

$\frac{dy}{dx}=\frac{\cos x}{\sin x.\log \left(\sin x\right)}$.