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JEE Main & Advanced Mathematics Differentiation Question Bank Differentiation by Substitution

  • question_answer
    The differential coefficient of \[f(\sin x)\] with respect to x, where \[f(x)=\log x\], is                                       [Karnataka CET 2004]

    A)            \[\tan x\]

    B)            \[\cot x\]

    C)            \[f(\cos x)\]

    D)            \[1/x\]

    Correct Answer: B

    Solution :

               \[\frac{d}{dx}[f(\sin x)]=\frac{d}{dx}[\log (\sin x)]=\frac{1}{\sin x}.\cos x=\cot x\].


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