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

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

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

critical points

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

(- 1, \frac{1}{2})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 1, \frac{1}{2})

x^{2} + y^{2} + x y

y = x^{2}

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

f (x) = x - \frac{1}{2} y^{2} - \frac{1}{3} x^{3} + y + 6

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

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