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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If y=tan⁡−11+cos⁡x1−cos⁡xy=\tan ^{-1} \sqrt{\frac{1+\cos x}{1-\cos x}}, then dydx\frac{d y}{d x} is equal to
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Correct option: B
−12-\frac{1}{2}
Option B (−12-\frac{1}{2}) is correct because after simplifying the expression using trigonometric identities, the derivative is found to be -1/2.

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