JEE Main & Advanced Mathematics Functions Question Bank Differentiability

  • question_answer
    If \[f(x)=\left\{ \begin{align}   & \ x+1,\ \text{when}\,x<2 \\  & 2x-1,\text{when }x\ge \text{2} \\ \end{align} \right.\], then \[f'(2)\] equals [MP PET 1997]

    A)            0

    B)            1

    C)            2

    D)            Does not exist

    Correct Answer: D

    Solution :

               As \[L{f}'\,(2)\ne R{f}'\,(2)\].


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