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 - 2)^{5} (x + 3)^{4}

f (x, y) = (x - 1)^{2} + (x - y)^{4}

f (x) = x^{4} - 4 x^{3} - 8 x^{2}

4 x - 1

f (x) = x^{3} - 12 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)