JEE Main & Advanced Mathematics Differentiation Question Bank Derivative at a point Standard Differentiation

  • question_answer
    The derivative of \[f(x)=\,|{{x}^{2}}-x|\] at x = 2 is [AMU 1999]

    A)            ? 3

    B)            0

    C)          3

    D)            Not defined

    Correct Answer: C

    Solution :

               \[f(x)=|{{x}^{2}}-x|\] Þ \[{f}'(x)=2x-1\] Þ \[{f}'(2)=3\].


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