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    Real Analysis : Differentiable Functions

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    Does there exist a differentiable function f: R-->R such that f'(0) < 0 for all x &#8804; 0 and f'(x) > 0 for all x > 0? Give an example of such function or prove that it does not exist.

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    https://brainmass.com/math/real-analysis/real-analysis-differentiable-functions-158570

    Solution Summary

    A proof involving differentiable functions is provided.

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