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

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

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

critical points

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

(0, 2), (0, 0), (\frac{1}{3}, 1), (- \frac{1}{3}, 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 2), (0, 0), (\frac{1}{3}, 1), (- \frac{1}{3}, 1)

f (x) = x (1 - x^{2})^{2}

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

f (x, y) = x^{3} - 5 x^{2} + 3 y^{2} + 3 x + 1

f (x) = I n (x + 3)

g (y) = \frac{y - 1}{y ^{2} - y + 1}

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