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

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

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

critical points

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

(- 1, 1), (0, 3)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 1, 1), (0, 3)

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

f (x) = x + 1 - x

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

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

f (x) = t^{\frac{3}{4}} - 2 t^{\frac{1}{4}}

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