(x^2 + y^2)*e^(y^2 - x^2)(adsbygoogle = window.adsbygoogle || []).push({});

I am having trouble finding the critical points.

Fx=2xe^(y^2-x^2)(1-x^2-y^2)=0

Fy=2ye^(y^2 - x^2)(1+x^2 +y^2)=0

or

0=x(1-x^2-y^2)

0=y(1+x^2+y^2)

now, finding all the roots is giving me trouble. x and y obviously = 0, but I am unsure how to move forward to get the rest of the zeros, therefore giving me the critical points. Any help would be appreciated. Thanks.

Stephen

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# Min max using partial derivatives

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