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Math Help - Critcal points for multiderivative functions

  1. #1
    Newbie Firstone's Avatar
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    Critcal points for multiderivative functions

    Hi I'm having trouble with the critical points.

    f(x,y) = 2x^3 + 2y^3 - 9x^2 + 3y^2 - 12

    fx = 6x^2 - 18x
    0 = 6x^2 - 18x
    x = 0 and 3

    fy = 6y^2 + 6y
    0 = 6y^2 + 6y
    y = 0 and -1

    Here is where i get stuck. I'm not sure what values of y to use for the x intercepts.
    Could anyone show me what the critcal points are.
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  2. #2
    Senior Member Spec's Avatar
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    All combination of the (x,y) values you have found are stationary points, i.e. (0,0), (0,-1), (3,0) and (3,-1).
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  3. #3
    Newbie Firstone's Avatar
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    All awesome thanks.
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