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Math Help - no differentiable function

  1. #1
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    no differentiable function

    Prove that there is no differentiable function f:[-1,1] \to \mathbb {R} such that f'(x)=[x]
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  2. #2
    Senior Member Shanks's Avatar
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    Hint:Applying Darboux's theorem! If the statement is true, then it leads to cantradiction to Darboux's theorem.
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