# Thread: find the extreme points

1. ## [SOLVED] find the extreme points

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

---

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 "

2. ## Re: find the extreme points

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

3. ## Re: find the extreme points

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