What is the critical f(x,y)=x^2+3xy+y^2-15x-10y+11 ?

The critical f(x,y)=x^2+3xy+y^2-15x-10y+11 is (0,5)

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critical f(x,y)=x^2+3xy+y^2-15x-10y+11

critical points

f (x, y) = x^{2} + 3 x y + y^{2} - 15 x - 10 y + 11

(0, 5)

Solution steps

x^{2} + 3 x y + y^{2} - 15 x - 10 y + 11

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 5)

f (x) = 2 x^{2} + 16 x + 27

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

- x^{2} + 5 x - 6

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

f (x) = x + 5

What is the critical f(x,y)=x^2+3xy+y^2-15x-10y+11 ?
The critical f(x,y)=x^2+3xy+y^2-15x-10y+11 is (0,5)