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Math Help - critical points of a multivariable function

  1. #1
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    critical points of a multivariable function

    For the life of me I just cant solve these two problems. I spent the last 2 hours trying to do it and I keep hitting a dead end, would someone be so kind and show me how.

    What are the critical points of these functions, if any?
    f(x,y)=-x^2-8xy-y^2
    g(x,y)=x^2y-x^2-2y^2
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  2. #2
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    Re: critical points of a multivariable function

    Find the partial derivatives of f(x,y) and set them to zero. Same with g(x,y).
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