What is the extreme f(x,y)=7x^2-10y^2 ?

The extreme f(x,y)=7x^2-10y^2 is Saddle(0,0)

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extreme f(x,y)=7x^2-10y^2

extreme points

f (x, y) = 7 x^{2} - 10 y^{2}

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 20

D (x, y) = - 280

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

y = \frac{3 x}{x ^{2} - 1}

x^{3} + 6 x^{2} + 12 x + 7

e^{- x^{2}} - 2 x^{2} e^{- x^{2}}

f (x, y) = 6 x - x^{2} - 2 y - y^{2} + 5

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

What is the extreme f(x,y)=7x^2-10y^2 ?
The extreme f(x,y)=7x^2-10y^2 is Saddle(0,0)