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Math Help - Fundamental Theorem of calculus

  1. #1
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    Fundamental Theorem of calculus

    1. The problem statement, all variables and given/known data

    Find a function f : [-1,1] ---> R such that f satisfies the following properties:

    a) f is continuous
    b) f is restricted to (-1,1) is differentiable
    c) its derivative f' is not differentiable on (-1,1)

    2. Relevant equations


    3. The attempt at a solution
    I kinda think that the mean value theorem and Theorem 2 of the fundamentals f(x)dx = F(b)-F(a) got some link but I can't seem to get it. I do understand that for f'' not to exist, x should be undefined on the (-1,1). Please help.
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  2. #2
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    read somewhere that a hint would be to begin with an absolute value and use f(x)dx = F(b)-F(a) (fundamental theorem of calc prep 2) repeatedly.. but still puzzled
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