What is the critical f(x,y)=x^2-3y^2-8x+9y+3xy ?

The critical f(x,y)=x^2-3y^2-8x+9y+3xy is (1,2)

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critical f(x,y)=x^2-3y^2-8x+9y+3xy

critical points

f (x, y) = x^{2} - 3 y^{2} - 8 x + 9 y + 3 x y

(1, 2)

Solution steps

x^{2} - 3 y^{2} - 8 x + 9 y + 3 x y

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, 2)

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

f (x) = 3 x^{2} + 4 x + 1

\frac{x + 3}{x ^{2}}

5 + 6 x^{2} - x^{4}

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

What is the critical f(x,y)=x^2-3y^2-8x+9y+3xy ?
The critical f(x,y)=x^2-3y^2-8x+9y+3xy is (1,2)