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Find All Points (X, Y) Where f(x,y)=x3y23x+y+5f ( x , y ) = x ^ { 3 } - y ^ { 2 } - 3 x + y + 5

Question 62

Short Answer

Find all points (x, y) where f(x,y)=x3y23x+y+5f ( 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 ef\frac { e } { f } .

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