# Math Help - Find any critical points and relative extrema of the function x^3 - 3xy + y^2

1. ## Find any critical points and relative extrema of the function x^3 - 3xy + y^2

Find any critical points and relative extrema of the function x^3 - 3xy + y^2

I got (0,0) is a saddle point, (3/2, 9/4) is a relative minimum

2. Hello, ewkimchi!

Find any critical points and relative extrema of: . $f(x,y) \:=\:x^3 - 3xy + y^2$

I got: . $(0,0)$ saddle point, . $(\tfrac{3}{2},\,\tfrac{9}{4})$ relative minimum.

I agree!