What is the critical f(x,y)=4x-9y+2xy-x^2+y^3 ?

The critical f(x,y)=4x-9y+2xy-x^2+y^3 is (3,1),(1/3 ,-5/3)

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critical f(x,y)=4x-9y+2xy-x^2+y^3

critical points

f (x, y) = 4 x - 9 y + 2 x y - x^{2} + y^{3}

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

Solution steps

4 x - 9 y + 2 x y - x^{2} + y^{3}

Find where

\nabla f (x, y)

is equal to zero or undefined

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

y = x^{2} - 3 x + 8

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 6

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

y = 2 x^{3} - 24 x + 5

(x - 1)^{2} (x - 3)^{2}

What is the critical f(x,y)=4x-9y+2xy-x^2+y^3 ?
The critical f(x,y)=4x-9y+2xy-x^2+y^3 is (3,1),(1/3 ,-5/3)