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Math Help - partial derivatives/chain rule?

  1. #1
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    partial derivatives/chain rule?

    Im having a little trouble with this question:
    Given that z = f(u) where u = x+my and f is an arbitrary function, find the two values of m for which z satisfies the equation
    12(d^2z/dx^2) + (d^2z/dxdy) - (d^2z/dy^2) = 0
    where all the derivatives are partial derivatives
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  2. #2
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    Re: partial derivatives/chain rule?

    So
     (\dfrac{\partial f}{\partial u}\left(\dfrac{\partial{u}}{\partial{x}}\right)) and so on so forth. Thats the chain rule. Do you get it?
    Then the product rule states  (f(x)g(x)) ' = f'(x)g(x)+f(x)g'(x)
    Use them together i.e. differentiate once and the 2nd time use the product rule also.
    Last edited by dikmikkel; April 12th 2012 at 08:30 AM.
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