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

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

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

critical points

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

(0, 2), (0, 0), (1, 1), (- 1, 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 2), (0, 0), (1, 1), (- 1, 1)

y = \frac{x}{x ^{2} + 1}

f (x) = \frac{x ^{5}}{1 + x ^{6}}

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

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

f (x) = 2 x^{3} + x^{2} + 4 x

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