Thread: Max/min with partial derivatives

I am having problems with a few homework questions. I am supposed to find and classify the critical points of these functions:

1.) f(x,y)= x^2 + y^2 + 2x - 4y

2.) f(x,y)= x^3 + y^3 - 6xy

Any help would be greatly appreciated! Thanks

Originally Posted by cam_ddrt

I am having problems with a few homework questions. I am supposed to find and classify the critical points of these functions:

1.) f(x,y)= x^2 + y^2 + 2x - 4y

2.) f(x,y)= x^3 + y^3 - 6xy

Any help would be greatly appreciated! Thanks

Hello.
To find the critical points, for each function solve the equations:
and .


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