What is the extreme f(x,y)=(69120)/x+(69120)/y+5xy ?

The extreme f(x,y)=(69120)/x+(69120)/y+5xy is Minimum(24,24)

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extreme f(x,y)=(69120)/x+(69120)/y+5xy

extreme

Minimum (24, 24)

Solution steps

Find the critical points:

(24, 24)

\frac{\partial ^{2} f}{\partial x ^{2}} = \frac{138240}{y ^{3}}

D (x, y) = \frac{19110297600}{x ^{3} y ^{3}} - 25

Check the sign of at each critical point

Check critical point

(24, 24) :

Minimum

Minimum (24, 24)

What is the extreme f(x,y)=(69120)/x+(69120)/y+5xy ?
The extreme f(x,y)=(69120)/x+(69120)/y+5xy is Minimum(24,24)