If \[f(x)={{\cot }^{-1}}\left( \frac{{{x}^{x}}-{{x}^{-x}}}{2} \right)\,,\]then \[f'(1)\] is equal to [RPET 2000]

If \[f(x)={{\cot }^{-1}}\left( \frac{{{x}^{x}}-{{x}^{-x}}}{2} \right)\

1.	If \[f(x)={{\cot }^{-1}}\left( \frac{{{x}^{x}}-{{x}^{-x}}}{2} \right)\,,\]then \[f'(1)\] is equal to [RPET 2000]
A.	? 1
B.	1
C.	\[\log \,\,2\]
D.	\[-\log \,2\]
Answer» B. 1

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If \[f(x)={{\cot }^{-1}}\left( \frac{{{x}^{x}}-{{x}^{-x}}}{2} \right)\,,\]then \[f'(1)\] is equal to [RPET 2000]

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