What is the critical f(x,y)=x^3-2xy+y^2+1 ?

The critical f(x,y)=x^3-2xy+y^2+1 is (2/3 , 2/3),(0,0)

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critical f(x,y)=x^3-2xy+y^2+1

critical points

f (x, y) = x^{3} - 2 x y + y^{2} + 1

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

Solution steps

x^{3} - 2 x y + y^{2} + 1

Find where

\nabla f (x, y)

is equal to zero or undefined

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

- 2 e^{- x^{2}} x

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

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

f (x) = \frac{( 2 x - 1 )}{x - 1}

f (x, y) = - \frac{1}{2 x ^{2} + 11 x y + 5 y ^{2} + 18}

What is the critical f(x,y)=x^3-2xy+y^2+1 ?
The critical f(x,y)=x^3-2xy+y^2+1 is (2/3 , 2/3),(0,0)