Determine the Local Extrema of the Function $f(x, y)=x^{2}+x y+y^{2}-3 x+2$

Multiple Choice

Determine the local extrema of the function.
- $f(x, y) =x^{2}+x y+y^{2}-3 x+2$

A) $\mathrm{f}(-2,1) =11$ , maximum
B) $f(-2,1) =11$ , minimum
C) $f(2,-1) =-1$ , minimum
D) $f(2,-1) =-1$ , maximum