JEE Main & Advanced Mathematics Differentiation Question Bank Derivative at a point Standard Differentiation

  • question_answer
    \[\frac{d}{dx}\log (\log x)\]=                                   [IIT 1985]

    A)            \[\frac{x}{\log x}\]

    B)            \[\frac{\log x}{x}\]

    C)            \[{{(x\log x)}^{-1}}\]

    D)            None of these

    Correct Answer: C

    Solution :

               \[\frac{d}{dx}\log (\log x)=\frac{1}{x}.\frac{1}{\log x}={{(x\log x)}^{-1}}\]


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