What is the extreme f(x,y)=y*ln(x) ?

The extreme f(x,y)=y*ln(x) is Saddle(1,0)

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extreme f(x,y)=y*ln(x)

extreme points

f (x, y) = y \cdot ln (x)

Saddle (1, 0)

Solution steps

Find the critical points:

(1, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = 0

D (x, y) = - \frac{1}{x ^{2}}

Check the sign of at each critical point

Check critical point

(1, 0) :

Saddle

Saddle (1, 0)

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