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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

f (x) = x^{\frac{2}{3}} - \frac{x}{6}

f (x) = x^{- 8} ln (x)

\frac{x ^{2} - 6 x + 12}{x - 4}

f (x) = x^{3} + 4 x

(x^{2} + 12) (4 - x^{2})

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