What is the extreme f(x,y)=x^2+y^2-2x+5y ?

The extreme f(x,y)=x^2+y^2-2x+5y is Minimum(1,-5/2)

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extreme f(x,y)=x^2+y^2-2x+5y

extreme

Minimum (1, - \frac{5}{2})

Solution steps

Find the critical points:

(1, - \frac{5}{2})

\frac{\partial ^{2} f}{\partial x ^{2}} = 2

D (x, y) = 4

Check the sign of at each critical point

Check critical point

(1, - \frac{5}{2}) :

Minimum

Minimum (1, - \frac{5}{2})

What is the extreme f(x,y)=x^2+y^2-2x+5y ?
The extreme f(x,y)=x^2+y^2-2x+5y is Minimum(1,-5/2)