What is the extreme f(x,y)=5xln(1y-9)+5y-5 ?

The extreme f(x,y)=5xln(1y-9)+5y-5 is Saddle(-1,10)

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extreme f(x,y)=5xln(1y-9)+5y-5

extreme

Saddle (- 1, 10)

Solution steps

Find the critical points:

(- 1, 10)

\frac{\partial ^{2} f}{\partial x ^{2}} = - \frac{5 x}{( y - 9 ) ^{2}}

D (x, y) = - \frac{25}{( y - 9 ) ^{2}}

Check the sign of at each critical point

Check critical point

(- 1, 10) :

Saddle

Saddle (- 1, 10)

What is the extreme f(x,y)=5xln(1y-9)+5y-5 ?
The extreme f(x,y)=5xln(1y-9)+5y-5 is Saddle(-1,10)