differentiation

Question: If $f(x)={{\cot }^{-1}}\left( \frac{{{x}^{x}}-{{x}^{-x}}}{2} \right)\,,$then $f'(1)$ is equal to



1) – 1
2) 1
3) $\log \,\,2$
4) $-\log \,2$
Solution: Explanation: No Explanation
Differentiation by substitution Higher order derivatives

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