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Math Help - To show that z satisfies the relation

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    To show that z satisfies the relation

    How to show that the following two equations are related:
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    Quote Originally Posted by totalnewbie View Post
    How to show that the following two equations are related:
    I am assuming you simply need to verify the second equation given the first?

    z = f(x^2 - y^2)

    So
    zx = f'(x^2 - y^2)*(2x)
    zy = f'(x^2 - y^2)*(-2y)

    So:
    y(zx) + x(zy) =?0

    y*f'(x^2 - y^2)*(2x) + x*f'(x^2 - y^2)*(-2y)

    = 2xy*f'(x^2 - y^2) - 2xy*f'(x^2 - y^2) = 0 (Check!)

    -Dan
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