$\text{The derivative of } f(x)=\cos^{-1}\left(\frac{1}{\sqrt{3}}(2\cos x-3\sin x)\right)+\left\{\sin^{-1}\left(\frac{1}{\sqrt{3}}(2\cos x+3\sin x)\right)\right\}\text{ w.r.t. } \sqrt{1+x^2}\text{ at } x=\frac{1}{\sqrt{3}}\text{ is ..... .}$

Mathematics

Problem

\text{The derivative of } f(x)=\cos^{-1}\left(\frac{1}{\sqrt{3}}(2\cos x-3\sin x)\right)+\left\{\sin^{-1}\left(\frac{1}{\sqrt{3}}(2\cos x+3\sin x)\right)\right\}\text{ w.r.t. } \sqrt{1+x^2}\text{ at } x=\frac{1}{\sqrt{3}}\text{ is ..... .}