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BCECE Engineering BCECE Engineering Solved Paper-2004

  • question_answer
    The differential coefficient of\[f(\log x)\]w.r.t\[x,\] where \[f(x)=\log x\]is:

    A) \[\frac{x}{\log x}\]          

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

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

    D)         none of these

    Correct Answer: D

    Solution :

    We have,\[f(x)=\log x\] \[\Rightarrow \]               \[f(\log x)=\log \log x\] On differentiating w.r.t. \[x\]on both sides, we get \[f(\log x)\frac{1}{x}=\frac{1}{\log x}.\frac{1}{x}\]                            \[\Rightarrow \]               \[f(\log x)=\frac{1}{\log x}\]


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