Derivative of \( \cot ^{-1}\left[\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-...
Derivative of \( \cot ^{-1}\left[\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right] \) \( 0x\frac{\pi}{2} \) is :
(A) \( \frac{1}{2} \)
(B) 1
(C) 2
(D) None of these
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