[IIT 1985]
A) $ \frac{x}{\log x} $
B) $ \frac{\log x}{x} $
C) $ {{(x\log x)}^{-1}} $
D) None of these
Correct Answer: C
$ \frac{d}{dx}\log (\log x)=\frac{1}{x}.\frac{1}{\log x}={{(x\log x)}^{-1}} $
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