Prove the following
Question:
If $2 y=\left(\cot ^{-1}\left(\frac{\sqrt{3} \cos x+\sin x}{\cos x-\sqrt{3} \sin x}\right)\right)^{2}, x \in\left(0, \frac{\pi}{2}\right)$
then $\frac{d y}{d x}$ is equal to :
Correct Option: 4,
Solution:

