What is the critical f(x,y)=2x^2+3xy+4y^2-7x-11y ?

The critical f(x,y)=2x^2+3xy+4y^2-7x-11y is (1,1)

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critical f(x,y)=2x^2+3xy+4y^2-7x-11y

critical points

f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} - 7 x - 11 y

(1, 1)

Solution steps

2 x^{2} + 3 x y + 4 y^{2} - 7 x - 11 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, 1)

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

\frac{6 x ^{2}}{x ^{2} - 9}

f (x, y) = 2 x^{2} + y^{2} + 8 x - 6 y + 20

f (x) = \frac{2}{3} x^{3} - x^{2} - 84 - 8

f (x) = 8 x^{3} - 30 x^{2} - 504 x + 1

What is the critical f(x,y)=2x^2+3xy+4y^2-7x-11y ?
The critical f(x,y)=2x^2+3xy+4y^2-7x-11y is (1,1)