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Math Help - Chain rule: partial differentiation

  1. #1
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    Question Chain rule: partial differentiation

    I am having trouble trying to prove this:

    " u=xy, v=xy and z=f(u,v),

    show that:


    x(∂z/∂x) - y(∂z/∂y)=(x-y)∂z/∂u "


    keep getting an answer of zero.

    Please Help!
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  2. #2
    MHF Contributor

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    Re: Chain rule: partial differentiation

    That's because what you are trying to prove isn't true! I suspect that u was supposed to be x/y, not xy.
    Thanks from lauramorrison93
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