What is the critical f(x,y)=x^3-y^3+3xy ?

The critical f(x,y)=x^3-y^3+3xy is (0,0),(1,-1)

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critical f(x,y)=x^3-y^3+3xy

critical points

f (x, y) = x^{3} - y^{3} + 3 x y

(0, 0), (1, - 1)

Solution steps

x^{3} - y^{3} + 3 x y

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (1, - 1)

11000 - x^{3} + 42 x^{2} + 800 x

x^{3} - 2 x y + y^{2} + 4

f (x) = x^{2} + 2 x y + 2 y^{2} - 6 x + 10 y + 6

\frac{8 x ^{2} - 24 x}{3 ( x + 1 ) ^{\frac{1}{3}}}

f (x) = 6 x^{2} + 2 x - 12

What is the critical f(x,y)=x^3-y^3+3xy ?
The critical f(x,y)=x^3-y^3+3xy is (0,0),(1,-1)