$\frac{d}{dx} \left\{ \sin^{-1} \left( \cot^{-1} \sqrt{\frac{1+x}{1-x}} \right) \right\} = \dots$

Mathematics

Problem

\frac{d}{dx} \left\{ \sin^{-1} \left( \cot^{-1} \sqrt{\frac{1+x}{1-x}} \right) \right\} = \dots