Determine the Local Extrema of the Function $f(x, y)=x^{3}-12 x y+8 y^{3}$

Multiple Choice

Determine the local extrema of the function.
- $f(x, y) =x^{3}-12 x y+8 y^{3}$

A) $f(1,2) =9$ , maximum
B) $f(2,1) =-8$ , maximum
C) $f(1,2) =9$ , minimum
D) $f(2,1) =-8$ , minimum