JEE Main & Advanced Mathematics Functions Question Bank Differentiability

  • question_answer
    The number of points at which the function \[f(x)=|x-0.5|+|x-1|+\tan x\] does not have a derivative in the interval (0, 2), is [MNR 1995]

    A)            1

    B)            2

    C)                 3

    D)                 4

    Correct Answer: C

    Solution :

                    Function \[f(x)=|x-0.5|+|x-1|+\tan x\] does not have a derivative at the points\[x=0.5,\,\,1,\,\frac{\pi }{2}\in (0,\,2)\].


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