Find All the Critical Points Of $f ( x , y ) = x ^ { 3 } - 3 x + y ^ { 2 } - 4 y$

Multiple Choice

Find all the critical points of $f ( x , y ) = x ^ { 3 } - 3 x + y ^ { 2 } - 4 y$ and classify each as maximum, minimum, or saddle point. Select all possible choices.

A) The point (1, 2) is a relative minimum.
B) The point (-1, -2) is a saddle point.
C) The point (-1, 2) is a saddle point.
D) The point (1, 2) is a relative maximum.
E) The point (1, -2) is a relative maximum.