JEE Main & Advanced Mathematics Functions Question Bank Differentiability

  • question_answer
    The function which is continuous for all real values of x and differentiable at \[x=0\]is [MP PET 1996]

    A)            \[|x|\]

    B)            \[\log x\]

    C)            sin x

    D)            \[{{x}^{\frac{1}{2}}}\]

    Correct Answer: C

    Solution :

               Since \[\frac{dy}{dx}=\cos x\] which  is defined at \[x=0\] and no other differential coefficient is defined at \[x=0\]


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