find the extreme points

**jacob93** · September 14th 2012, 08:14 AM

Find all extreme points to $f\left( x,y \right)=\left( x^{2}+y^{2} \right)\left( xy+1 \right)$

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Not to important, but I'll put it here anyways. The original question is this
"Problem: 3c) Are there any other extreme points than those in 3a)? See image Skärmavbild 2012-09-13 kl. 19.02.23.png "

**MaxJasper** · September 14th 2012, 09:08 AM

[QUOTE=jacob93;736138]Find all extreme points to $f\left( x,y \right)=\left( x^{2}+y^{2} \right)\left( xy+1 \right)$

**jacob93** · September 14th 2012, 09:37 AM

Oups, double-posted. I'll go with Polynomial long division with x and y

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