Find stationary values of x³+y³-2x²-2y²+3xy

[keighley]

Homework Statement

I have been asked to answer the following:

The function (x^3)+(y^3)-(2x^2)-(2y^2)+(3xy) has two stationary values. Determine their co-ordinates and their nature.

Homework Equations

The Attempt at a Solution

Sorry I am stuck.

 

[Coto]

http://mathworld.wolfram.com/StationaryPoint.html

 

[Mark44]

Homework Statement

I have been asked to answer the following:

The function (x^3)+(y^3)-(2x^2)-(2y^2)+(3xy) has two stationary values. Determine their co-ordinates and their nature.

Homework Equations

The Attempt at a Solution

Sorry I am stuck.

Your textbook should have a section on finding stationary points for functions of two variables. I'm reasonably certain it will also have a worked example or two.