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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=1+sin⁡−1x1−tan⁡−1xf(x)=\sqrt{\frac{1+\sin ^{-1} x}{1-\tan ^{-1} x}}; then f′(0)f^{\prime}(0) is equal to :
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Correct option: D
1
Option D (1) is correct because the derivative at 0 is found by logarithmic differentiation and substituting x=0.

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