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

• June 2nd 2010, 09:57 AM
ewkimchi
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
• June 2nd 2010, 10:45 AM
Soroban
Hello, ewkimchi!

Quote:

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!