What is the extreme-0.06x^2-0.02y^2-1.5xy+85x+69y ?

The extreme-0.06x^2-0.02y^2-1.5xy+85x+69y is Saddle(44.58400…, 99350/1871)

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extreme-0.06x^2-0.02y^2-1.5xy+85x+69y

extreme points

- 0.06 x^{2} - 0.02 y^{2} - 1.5 x y + 85 x + 69 y

Saddle (44.58400 \dots, \frac{99350}{1871})

Solution steps

Find the critical points:

(44.58400 \dots, \frac{99350}{1871})

\frac{\partial ^{2} f}{\partial x ^{2}} = - 0.04

D (x, y) = - 2.2452

Check the sign of at each critical point

Check critical point

(44.58400 \dots, \frac{99350}{1871}) :

Saddle

Saddle (44.58400 \dots, \frac{99350}{1871})

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

- 8 a t x = 5

f (x) = 1 - 7 x^{2}, - 3 \leq x \leq 1

f (x, y) = e^{x \cdot y} + 1

x^{2} + y^{2} - 12 x + 14 y - 6

What is the extreme-0.06x^2-0.02y^2-1.5xy+85x+69y ?
The extreme-0.06x^2-0.02y^2-1.5xy+85x+69y is Saddle(44.58400…, 99350/1871)