The derivative of

Question:

The derivative of $\tan ^{-1}\left(\frac{\sin x-\cos x}{\sin x+\cos x}\right)$, with

respect to $\frac{x}{2}$, where $\left(x \in\left(0, \frac{\pi}{2}\right)\right)$ is :

  1. $\frac{1}{2}$

  2. $\frac{2}{3}$

  3. 1

  4. 2


Correct Option: , 4

Solution:

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