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    Real Analysis Functions with Equal Derivatives

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    Let f be a function given by

    x + 2 if x < 0
    f(x) =
    x if x >= 0

    Is there a function g: R ---> R such that g'=f?

    *be careful applying definition of the derivative

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    Solution Summary

    Derivatives of functions are compared to obtain a proof. The definition of derivatives are applied.