![functions - Let $f(x)=\cos \left[\cot ^{-1}\left( \frac{\cos x}{\sqrt{1-\cos 2x}}\right)\right]$ where $\frac{\pi}4<x<\frac{\pi}2$. Find $\frac{df(x)}{d\cot(x)}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/gQYI4.jpg "functions - Let $f(x)=\cos \left[\cot ^{-1}\left( \frac{\cos x}{\sqrt{1-\cos 2x}}\right)\right]$ where $\frac{\pi}4<x<\frac{\pi}2$. Find $\frac{df(x)}{d\cot(x)}$ - Mathematics Stack Exchange")
functions - Let $f(x)=\cos \left[\cot ^{-1}\left( \frac{\cos x}{\sqrt{1-\cos 2x}}\right)\right]$ where $\frac{\pi}4<x<\frac{\pi}2$. Find $\frac{df(x)}{d\cot(x)}$ - Mathematics Stack Exchange
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