What is the extreme f(x,y)=9-x^2-9y^2 ?

The extreme f(x,y)=9-x^2-9y^2 is Maximum(0,0)

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extreme f(x,y)=9-x^2-9y^2

extreme points

f (x, y) = 9 - x^{2} - 9 y^{2}

Maximum (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 18

D (x, y) = 36

Check the sign of at each critical point

Check critical point

(0, 0) :

Maximum

Maximum (0, 0)

6 sin (x)

2 t^{3} - 24 t^{2} + 70

y = x^{2} e^{x} - 2

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

7 x - 0.005 x^{2} - 3.6 x - 70

What is the extreme f(x,y)=9-x^2-9y^2 ?
The extreme f(x,y)=9-x^2-9y^2 is Maximum(0,0)