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

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

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

critical points

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

(1, - 2)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, - 2)

x^{3} - 5 x^{2} + 3 y^{2} + 3 x + 1

\frac{x}{x ^{2} + 12 x + 35}

f (x) = x^{5} e^{3 x}

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

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

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