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Math Help - Stationary points

  1. #1
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    Stationary points

    Prove that the polynomial

    f=(x^2+y^2)(x^2+y^2+1)z+z^3+x+y

    doesn't have real stationary points.

    Thanks!!!
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  2. #2
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    Quote Originally Posted by roporte View Post
    Prove that the polynomial

    f=(x^2+y^2)(x^2+y^2+1)z+z^3+x+y

    doesn't have real stationary points.

    Thanks!!!
    Start by calculating the partial derivatives and equating them to zero. Can you do that? Post your answers.
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