Explore BrainMass

Explore BrainMass

    Proof of Differentiability

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

    Let f(x) = { x^2 if x is rational
    { 0 if x is irrational

    Show that f is differentiable at x=0 but not at any other point.
    ---
    Please see the attached file for the fully formatted problem.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:31 pm ad1c9bdddf
    https://brainmass.com/math/discrete-math/proof-differentiability-48363

    Attachments

    Solution Summary

    Differentiability of a function is proven. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT