If , then…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If f(x)=cot⁡−1(xx−x−x2)f(x)=\cot^{-1}\left(\frac{x^x-x^{-x}}{2}\right), then f′(1)f'(1) equals (1) −1-1 (2) 11 (3) log⁡e2\log_e 2 (4) −log⁡e2-\log_e 2

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