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Math Help - Differentiate multivariable function with respect to another function

  1. #1
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    Differentiate multivariable function with respect to another function

    Can you please help me with the following problem:
    Given a function of the form f(x,y) = (a-b x)^2 - (c - d y)^2, how can I tell how does f change when (x-y) change?


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  2. #2
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    Re: Differentiate multivariable function with respect to another function

    Hey Essa.

    Do you know about directional derivatives?
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  3. #3
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    Re: Differentiate multivariable function with respect to another function

    I'm a little weak on multi-variable calculus, but if g=x-y, can't you just do:

    \frac{df}{dg} = \frac{df/dx}{dg/dx} + \frac{df/dy}{dg/dy}

    - Hollywood
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