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Math Help - [SOLVED] multivariable calc chain rule. find my error..

  1. #1
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    Question [SOLVED] multivariable calc chain rule. find my error..

    use the chain rule to find the derivative of g(f(x)) at the indicated point a.

    g(x,y)= (x^2 * y^3, 3x-y^2)
    f(x,y)= (-y,x)
    a=(3,2)

    i did:
    D(g) matrix
    2x 3y^2
    3 -2y

    D(g(f(x,y))) matrix
    -2y 3x^2
    3 -2x

    D(f) matrix
    0 -1
    1 0
    ^i have a feeling this matrix is where i went wrong?

    D(g(f(x,y)) * D(f) matrix:
    3x^2 2y
    -2x -3

    at (3,2):
    27 4
    -6 -3


    the answer in the back is
    108 108
    -6 -3
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  2. #2
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    sorry everyone nevermind i found my error!
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