What is the extreme f(x)=20.85xy+10.7x^2+51.75y^2 ?

The extreme f(x)=20.85xy+10.7x^2+51.75y^2 is Minimum(0,0)

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extreme f(x)=20.85xy+10.7x^2+51.75y^2

extreme points

f (x) = 20.85 x y + 10.7 x^{2} + 51.75 y^{2}

Minimum (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = 103.5

D (x, y) = 1780.1775

Check the sign of at each critical point

Check critical point

(0, 0) :

Minimum

Minimum (0, 0)

x^{5} - x^{3}

f (x) = 6 sin (2 x)

x^{2} + 2 x + 6

f (x) = x^{2} + 2 y^{2} - 4 x + 12 y

x^{2} - 6 x + 4

What is the extreme f(x)=20.85xy+10.7x^2+51.75y^2 ?
The extreme f(x)=20.85xy+10.7x^2+51.75y^2 is Minimum(0,0)