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JEE Main & Advanced Mathematics Differentiation Question Bank Differentiation of implicit function Parametric

  • question_answer
    The differential coefficient of \[f[\log (x)]\] when \[f(x)=\log x\]is               [Kurukshetra CEE 1998; DCE 2000]

    A)            \[x\log x\]

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

    C)            \[\frac{1}{x\log x}\]

    D)   \[\frac{\log x}{x}\]

    Correct Answer: C

    Solution :

               \[\because f(x)=\log x\];  \[\therefore f[\log x]=\log \log x\]                    \[f'[\log x]=\frac{1}{\log x}.\frac{d}{dx}\log x=\frac{1}{x\log x}\].


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