Question

Find the derivative of $f\left(\log x\right)$ with respect to $x$ where $f\left(x\right)=\log x$.

Answer 1

Given, $f\left(x\right)=\log x$.

Now $f\left(\log x\right)=\log \left(\log x\right)$.

Now, $\frac{d\left\{f\right(\log x\left)\right\}}{dx}=\frac{1}{x\log x}$.