What is the extreme q(x,y)=-5x^2-8y^2-2xy+42x+102y ?

The extreme q(x,y)=-5x^2-8y^2-2xy+42x+102y is Maximum(3,6)

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extreme q(x,y)=-5x^2-8y^2-2xy+42x+102y

extreme points

q (x, y) = - 5 x^{2} - 8 y^{2} - 2 x y + 42 x + 102 y

Maximum (3, 6)

Solution steps

Find the critical points:

(3, 6)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 16

D (x, y) = 156

Check the sign of at each critical point

Check critical point

(3, 6) :

Maximum

Maximum (3, 6)

f (x) = x^{2} lo g_{7} (x)

U (x, y) = - x^{2} + 8 - y^{2}

f (x) = 2 x^{4} + 8 x^{2} - 8 x^{3} - 1

f (x) = 9 x^{3} - 54 x^{2} + 81 x + 13, (- 6, 2)

f (x) = x^{3} - 12 x^{2} + 45 x + 7

What is the extreme q(x,y)=-5x^2-8y^2-2xy+42x+102y ?
The extreme q(x,y)=-5x^2-8y^2-2xy+42x+102y is Maximum(3,6)