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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2004

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

    A)  \[\tan x\]                           

    B)  \[\cot x\]

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

    D)  \[\frac{1}{x}\]

    Correct Answer: B

    Solution :

    We have,                 \[y=f\,(\sin x)\] or            \[y=\log \,(\sin x)\] \[\therefore \]  \[\frac{dy}{dx}=\frac{1}{\sin x}\times \cos x\]                 \[=\cot x\]


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