What is the extreme xy-5x-5y-x^2-y^2 ?

The extreme xy-5x-5y-x^2-y^2 is Maximum(-5,-5)

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extreme xy-5x-5y-x^2-y^2

extreme points

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

Maximum (- 5, - 5)

Solution steps

Find the critical points:

(- 5, - 5)

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

D (x, y) = 3

Check the sign of at each critical point

Check critical point

(- 5, - 5) :

Maximum

Maximum (- 5, - 5)

e^{2 x}

f (x, y) = 2 x^{2} + 3 y^{2} - 4 x - 12 y + 13

f (x) = - 4 x^{4} + 3 x^{2} - 15 x + 5

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

2 x^{2} - 7 x - 9

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