What is the extreme-(x+1)^2-5(y-3)^2 ?

The extreme-(x+1)^2-5(y-3)^2 is Maximum(-1,3)

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extreme-(x+1)^2-5(y-3)^2

extreme points

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

Maximum (- 1, 3)

Solution steps

Find the critical points:

(- 1, 3)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 10

D (x, y) = 20

Check the sign of at each critical point

Check critical point

(- 1, 3) :

Maximum

Maximum (- 1, 3)

What is the extreme-(x+1)^2-5(y-3)^2 ?
The extreme-(x+1)^2-5(y-3)^2 is Maximum(-1,3)