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

The critical f(x,y)=x^2y-2xy-3xy^2 is (0,-2/3),(2/3 ,-2/9)

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

critical points

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

(0, - \frac{2}{3}), (\frac{2}{3}, - \frac{2}{9})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, - \frac{2}{3}), (\frac{2}{3}, - \frac{2}{9})

f (x) = \frac{x}{x ^{2} + 7 x + 10}

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

y = 4 x^{3} - x^{4}

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

f (x) = 9 x + \frac{1}{x}

What is the critical f(x,y)=x^2y-2xy-3xy^2 ?
The critical f(x,y)=x^2y-2xy-3xy^2 is (0,-2/3),(2/3 ,-2/9)