What is the critical f(x,y)=x^3-y^3-2xy+6 ?

The critical f(x,y)=x^3-y^3-2xy+6 is (0,0),(-2/3 , 2/3)

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critical f(x,y)=x^3-y^3-2xy+6

critical points

f (x, y) = x^{3} - y^{3} - 2 x y + 6

(0, 0), (- \frac{2}{3}, \frac{2}{3})

Solution steps

x^{3} - y^{3} - 2 x y + 6

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- \frac{2}{3}, \frac{2}{3})

\frac{d}{d x} (\frac{2 x y}{x ^{2} + 2 y ^{2}})

x^{3} - 3 x^{2} - 9 x + 4

f (x) = \frac{1}{4} x^{4} - x^{3} - 5 x^{2}

y = \frac{x ^{2} - 4}{x ^{2} + 4}

x^{3} + 2 x^{2} - 4 x - 8

What is the critical f(x,y)=x^3-y^3-2xy+6 ?
The critical f(x,y)=x^3-y^3-2xy+6 is (0,0),(-2/3 , 2/3)