JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

\frac{d}{d x}\left(\cos ^{-1} \frac{x-x^{-1}}{x+x^{-1}}\right)=

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Correct option: B

\frac{-2}{1+x^2}

Option B is correct because the expression simplifies to an inverse tangent function, and its derivative is -2/(1+x²).

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