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Math Help - derivatives of functions

  1. #1
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    derivatives of functions

    Problem 5:[/b]

    Suppose that f : [0,1)---IR is continuous on [0,1), differentiable on
    (0,00), f(0) = 0, and lim f(x) = 0 as x tends to 00. Prove that there exists a point c in (0,00) such
    that f'(c) = 0.
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  2. #2
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    Re: derivatives of functions

    Quote Originally Posted by skybluesea2010 View Post
    Problem Suppose that f : [0,1)---IR is continuous on [0,1), differentiable on (0,00), f(0) = 0, and lim f(x) = 0 as x tends to 00. Prove that there exists a point c in (0,00) such that f'(c) = 0.
    Please always define odd terms.
    What is IR?
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  3. #3
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    Re: derivatives of functions

    R is just set of real numbers
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  4. #4
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    Re: derivatives of functions

    In these conditions there is either a global maximum or a global minimum so...
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