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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

x^{2} - 4 x y + 5

f (x) = - 2 x^{2} ln (x) + 9 x^{2}

f (x) = - 4 x e^{6 x}

f (x) = - x^{3} + 6 x^{2} + x + 1

f (x, y) = (x^{2} - 8 x) (y^{2} - 5 y)

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