Explore BrainMass

Explore BrainMass

    Real Analysis Functions with Equal Derivatives

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    © BrainMass Inc. brainmass.com December 24, 2021, 4:49 pm ad1c9bdddf

    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    For ...

    Solution Summary

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