What is the extreme f(x)=25x^2-25y^2+200x+200y+200 ?

The extreme f(x)=25x^2-25y^2+200x+200y+200 is Saddle(-4,4)

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extreme f(x)=25x^2-25y^2+200x+200y+200

extreme points

f (x) = 25 x^{2} - 25 y^{2} + 200 x + 200 y + 200

Saddle (- 4, 4)

Solution steps

Find the critical points:

(- 4, 4)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 50

D (x, y) = - 2500

Check the sign of at each critical point

Check critical point

(- 4, 4) :

Saddle

Saddle (- 4, 4)

x^{2} + y^{2} + 6 x - 10 y + 5

y = - 5 x^{3} + 4 x^{2} + 5 x - 1

f (x) = \frac{9 x ^{2} - 1}{x}

(x - 3) \cdot (x + 2) \cdot x

y = 5 + 12 x^{2} - 8 x^{3}

What is the extreme f(x)=25x^2-25y^2+200x+200y+200 ?
The extreme f(x)=25x^2-25y^2+200x+200y+200 is Saddle(-4,4)