What is the extreme f(x)=3x^2-5y^2-255x+70y+23 ?

The extreme f(x)=3x^2-5y^2-255x+70y+23 is Saddle(85/2 ,7)

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extreme f(x)=3x^2-5y^2-255x+70y+23

extreme points

f (x) = 3 x^{2} - 5 y^{2} - 255 x + 70 y + 23

Saddle (\frac{85}{2}, 7)

Solution steps

Find the critical points:

(\frac{85}{2}, 7)

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

D (x, y) = - 60

Check the sign of at each critical point

Check critical point

(\frac{85}{2}, 7) :

Saddle

Saddle (\frac{85}{2}, 7)

f (x) = 5 x e^{- x} + 9

f (x, y) = 3 x^{2} + 2 y^{2} - 4 y + 10 y

E (a, b) = (a + b)^{2} - (a - b)^{2}

g (x) = x^{2} - 10 x + 27

f (x) = 2 - 4 (sin^{2} (x))

What is the extreme f(x)=3x^2-5y^2-255x+70y+23 ?
The extreme f(x)=3x^2-5y^2-255x+70y+23 is Saddle(85/2 ,7)