Prove that the polynomial $\displaystyle f=(x^2+y^2)(x^2+y^2+1)z+z^3+x+y$ doesn't have real stationary points. Thanks!!!
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Originally Posted by roporte Prove that the polynomial $\displaystyle f=(x^2+y^2)(x^2+y^2+1)z+z^3+x+y$ 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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