Question

Differentiate w.r.t. $x$:

$\log \left(\log x\right)$

Answer 1

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

Differentiating w.r.t. x, we get,By Chain Rule

$\frac{dy}{dx}=\frac{1}{\log x}\times \frac{1}{x}=\frac{1}{x\log x}$