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

The critical f(x,y)=x^2y-y^3-x^2-y^2+1 is (0,-2/3),(0,0),(sqrt(5),1),(-sqrt(5),1)

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

critical points

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

(0, - \frac{2}{3}), (0, 0), (5, 1), (- 5, 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, - \frac{2}{3}), (0, 0), (5, 1), (- 5, 1)

f (x) = \frac{2}{3} x^{\frac{3}{2}} - \frac{2}{5} x^{\frac{5}{2}}

f (x) = 3 x^{\frac{1}{2}} - x^{\frac{3}{2}}

f (x) = x^{2} + \frac{54}{x}

e^{3 x} - 3 e^{x}

f (x) = \frac{x ^{2} - 5 x + 6}{x ^{2}}

What is the critical f(x,y)=x^2y-y^3-x^2-y^2+1 ?
The critical f(x,y)=x^2y-y^3-x^2-y^2+1 is (0,-2/3),(0,0),(sqrt(5),1),(-sqrt(5),1)