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Math Help - 1st & 2nd Order Partial Derivatives

  1. #1
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    Exclamation 1st & 2nd Order Partial Derivatives

    Find the first and second order partial derivatives for the following function:

    f(x,y) = 2x^3 - 6xy^2 +5y^4

    Need to find:
    fx
    fy
    fxx
    fxy
    fyx
    fyy

    I don't understand the concept of finding partial derivatives and my calculus text has (once again) proven itself to be worthless.

    Thanks in advance...
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  2. #2
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    Re: Partial Derivatives

     f(x,y) = 2x^3 - 6xy^2 +5y^4

    When finding fx, variables other than x are treated as constants.

    So  f_x = 6x^2 - 6y^2

    For  f_{xy} take the derivative of f_x treating non-x variables as constants.  f_{xy} = 12y
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  3. #3
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    2nd-Order

    Are fxx and fyy just 2nd derivatives of fx and fy, respectively?

    Are fxy and fyx always the same? I don't understand the difference between those two.
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