What is the extreme x^2+y^2-6x-6y+5 ?

The extreme x^2+y^2-6x-6y+5 is Minimum(3,3)

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extreme x^2+y^2-6x-6y+5

extreme points

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

Minimum (3, 3)

Solution steps

Find the critical points:

(3, 3)

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

D (x, y) = 4

Check the sign of at each critical point

Check critical point

(3, 3) :

Minimum

Minimum (3, 3)

f (x) = x^{4} - 8 x^{3} + 22 x^{2} - 24 x + 8

x^{3} - 2 x^{2} - 2

f (x) = 168000 - 200 x

2 x y

f (x) = \frac{x}{5 x + 4}, 7 \leq x \leq 13

What is the extreme x^2+y^2-6x-6y+5 ?
The extreme x^2+y^2-6x-6y+5 is Minimum(3,3)