What is the critical f(x,y)=x^2y+y^3-12y ?

The critical f(x,y)=x^2y+y^3-12y is (0,2),(0,-2),(2sqrt(3),0),(-2sqrt(3),0)

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critical f(x,y)=x^2y+y^3-12y

critical points

f (x, y) = x^{2} y + y^{3} - 12 y

(0, 2), (0, - 2), (23, 0), (- 23, 0)

Solution steps

x^{2} y + y^{3} - 12 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 2), (0, - 2), (23, 0), (- 23, 0)

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

\frac{1}{x}

{x^{2} : x < - 2, ln (x + 5) : x \geq - 2}

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

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

What is the critical f(x,y)=x^2y+y^3-12y ?
The critical f(x,y)=x^2y+y^3-12y is (0,2),(0,-2),(2sqrt(3),0),(-2sqrt(3),0)