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

The extreme f(x,y)=5x^2-5y^2 is Saddle(0,0)

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

extreme points

f (x, y) = 5 x^{2} - 5 y^{2}

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

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

D (x, y) = - 100

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

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

f (x) = x^{4} + 8 x^{3} + 3

f (x, y) = 3 x + 4 y + 1

f (x) = 2 x^{4} + 2 y^{4} - x y

f (4.6) = x^{y}

What is the extreme f(x,y)=5x^2-5y^2 ?
The extreme f(x,y)=5x^2-5y^2 is Saddle(0,0)