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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    If\[f(x)=\sin x,\]the derivative of\[f(\log x)\]w.r.t. \[x\]is

    A)  \[\cos x\]           

    B)         \[f(\log x)\]

    C)  \[\cos (\log x)\]              

    D)         \[\frac{\cos (\log x)}{x}\]

    E)  \[\frac{\cos (\log x)}{2x}\]

    Correct Answer: D

    Solution :

    Given, \[f(x+y)=2f(x)f(y)\] \[\therefore \] \[f(\log x)=\sin \log x\] On differentiating w.r.t.\[x,\]we get \[f(\log x)=\cos (\log x).\frac{1}{x}\]


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