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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

cos^{2} (x) + sin (x)

f (x) = 2 x - 1

f (x) = (x^{2} + 10) (9 - x^{2})

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

f (x) = \frac{6 x}{x ^{2} + 9}

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