What is the critical f(x)=10xy-5x^2y-2xy^2 ?

The critical f(x)=10xy-5x^2y-2xy^2 is (0,5),(2/3 , 5/3)

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critical f(x)=10xy-5x^2y-2xy^2

critical points

f (x) = 10 x y - 5 x^{2} y - 2 x y^{2}

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

Solution steps

10 x y - 5 x^{2} y - 2 x y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

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

f (x) = x^{3} + 12 x^{2} + 36 x

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

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

11000 - x^{3} + 42 x^{2} + 800 x

x^{3} - 2 x y + y^{2} + 4

What is the critical f(x)=10xy-5x^2y-2xy^2 ?
The critical f(x)=10xy-5x^2y-2xy^2 is (0,5),(2/3 , 5/3)