What is the extreme f(x,y)=-3*x^2-2*y^2+2*x*y+1167*x+1479*y ?

The extreme f(x,y)=-3*x^2-2*y^2+2*x*y+1167*x+1479*y is Maximum(3813/10 , 2802/5)

Popular >

extreme f(x,y)=-3x^2-2y^2+2xy+1167x+1479y

extreme points

f (x, y) = - 3 \cdot x^{2} - 2 \cdot y^{2} + 2 \cdot x \cdot y + 1167 \cdot x + 1479 \cdot y

Maximum (\frac{3813}{10}, \frac{2802}{5})

Solution steps

Find the critical points:

(\frac{3813}{10}, \frac{2802}{5})

\frac{\partial ^{2} f}{\partial x ^{2}} = - 4

D (x, y) = 20

Check the sign of at each critical point

Check critical point

(\frac{3813}{10}, \frac{2802}{5}) :

Maximum

Maximum (\frac{3813}{10}, \frac{2802}{5})

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

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

f (x) = - x^{4} + 50 x^{2} - 625, - 6 \leq x \leq 6

f (x) = \frac{x ^{2}}{x + 2}

f (x) = \frac{1 - x ^{2}}{( 1 + x ^{2} ) ^{2}}

What is the extreme f(x,y)=-3*x^2-2*y^2+2*x*y+1167*x+1479*y ?
The extreme f(x,y)=-3*x^2-2*y^2+2*x*y+1167*x+1479*y is Maximum(3813/10 , 2802/5)