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Let f defined on [0, 1] be twice diffe...

Let `f` defined on `[0, 1]` be twice differentiable such that `|f `"`(x)|` `<=1` for `x in [0,1]`,if `f(0)=f(1)` then show that `|f'(x)|<1` for all `x in [0,1]`.

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