Question

find the derivative of log(log(x+1)) with respect to x

Answer 1

Dear Student,

$\frac{d\left(\log \left(\log \left(\mathrm{x}+1\right)\right)\right)}{d\mathrm{x}}$ = $\frac{1}{\log \left(x+1\right)}\times \frac{d\log \left(x+1\right)}{dx}$$\times \frac{d\left(x+1\right)}{dx}$ =$\frac{1}{\log \left(x+1\right)}\times \frac{1}{\left(x+1\right)}$ x 1 = $\frac{1}{\left(x+1\right)\log \left(x+1\right)}$

Regards