What is the extreme f(x,y)=-4x^2-6y^2-4xy+800x+900y-10000 ?

The extreme f(x,y)=-4x^2-6y^2-4xy+800x+900y-10000 is Maximum(75,50)

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extreme f(x,y)=-4x^2-6y^2-4xy+800x+900y-10000

extreme points

f (x, y) = - 4 x^{2} - 6 y^{2} - 4 x y + 800 x + 900 y - 10000

Maximum (75, 50)

Solution steps

Find the critical points:

(75, 50)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 12

D (x, y) = 80

Check the sign of at each critical point

Check critical point

(75, 50) :

Maximum

Maximum (75, 50)

x 16 - x^{2}

y = (x - 2)^{3} + 1

f (x) = - x - \frac{64}{x}

f (x) = \frac{1}{3} x^{5} - \frac{5}{2} x^{2} + 6 x - 8

f (x) = e^{x} (8 - x^{2})

What is the extreme f(x,y)=-4x^2-6y^2-4xy+800x+900y-10000 ?
The extreme f(x,y)=-4x^2-6y^2-4xy+800x+900y-10000 is Maximum(75,50)