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Math Help - Partial derivatives problem

  1. #1
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    taiwan
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    Partial derivatives problem

    Partial derivatives problem-screenshot-studio-capture-013.png
    I used the limit definition of the partial derivative

    f/x(a,b)=limh0f(a+h,b)f(a,b)/h.


    but either x or y is 0 , and the whole equation equates to 0 at the end, resulting in the same result for either partial derivative.

    Can anyone help me?

    Thanks
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  2. #2
    Super Member ILikeSerena's Avatar
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    Re: Partial derivatives problem

    Welcome to MHF, mackygood!

    As part of the process to find your partial derivative, you'll need to evaluate:

    \frac{\partial f}{\partial x}(0,y) = \lim_{h \to 0} \frac{f(h,y) - f(0,y)}{h}

    The first term in the nominator of this limit will not be zero...
    Last edited by ILikeSerena; May 20th 2012 at 09:40 AM.
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