What is the extreme f(x,y)=x^2=xy+y^2-16y+85 ?

The extreme f(x,y)=x^2=xy+y^2-16y+85 is Saddle(16,0)

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extreme f(x,y)=x^2=xy+y^2-16y+85

extreme points

f (x, y) = x^{2} = x y + y^{2} - 16 y + 85

Saddle (16, 0)

Solution steps

Find the critical points:

(16, 0)

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

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(16, 0) :

Saddle

Saddle (16, 0)

1. 3^{x}

f (x) = x^{3} - 2 x^{2} - 15 x + 5, - 2 \leq x \leq 0

x^{2} (x - 18) + 96 x + 2000

f (x, y) = y x + 4 x y + 2 y + 12

f (x) = - 20 x^{2} - 70 x + 120

What is the extreme f(x,y)=x^2=xy+y^2-16y+85 ?
The extreme f(x,y)=x^2=xy+y^2-16y+85 is Saddle(16,0)