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Q.
If $y(x)=\cot ^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right), x \in\left(\frac{\pi}{2}, \pi\right)$ then $\frac{ dy }{ dx }$ at $x =\frac{5 \pi}{6}$ is:
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