Find All Points (X, Y) Where F(x, Y) = 2 $x ^ { 2 }$

question 116

Short Answer

Find all points (x, y) where f(x, y) = 2 $x ^ { 2 }$ + 2 $y ^ { 3 }$ - x - 6y + 14 has a possible relative maximum or minimum.
Enter your answer exactly as just (a, b), (c, d) with b > d and where a, b, c, d are either integers or reduced fractions of form $\frac { e } { f }$ .