Find All Points (X, Y) Where $f ( x , y ) = x ^ { 3 } - y ^ { 2 } - 3 x + y + 5$

Short Answer

Find all points (x, y) where $f ( x , y ) = x ^ { 3 } - y ^ { 2 } - 3 x + y + 5$ has a possible relative maximum or minimum.
Enter your answer exactly as just (a, b), (c, d) with a > c and where a, b, c, d are either integers or reduced fractions of form $\frac { e } { f }$ .