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Math Help - Calculus Diferentiation

  1. #1
    Newbie Sterwine's Avatar
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    Calculus Diferentiation

    Define h: R-> R by

    h(x) = { x^2, x is rational
    { 0, x is irrational

    Prove that H is differentiable at 0.


    How would you do this?

    Thanks!
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  2. #2
    MHF Contributor
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    Quote Originally Posted by Sterwine View Post
    Define h: R-> R by

    h(x) = { x^2, x is rational
    { 0, x is irrational

    Prove that H is differentiable at 0.


    How would you do this?

    Thanks!
    Show that the function is continuous and smooth at x = 0.
    Follow Math Help Forum on Facebook and Google+

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