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Math Help - Chain rule

  1. #1
    Newbie
    Joined
    Apr 2005
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    Urgent help needed

    Hi

    I have this calculus question question which has caused me some trouble:

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

    Where f is diffentiable

    I need to show that

    y \frac{\partial z}{\partial x} + x \frac{\partial z}{\partial y} = x

    How do I show that?

    Is it by using the chain rule ?

    /Fred
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  2. #2
    Senior Member
    Joined
    Jun 2005
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    Yes, use the chain rule. For example, partial d/dx of f(x^2-y^2) is f'(x^2-y^2) times partial d/dx of (x^2 - y^2). Here f' denotes the derivative of f as a function of a single variable.
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