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

The extreme f(x,y)=xy+5x-5 is Saddle(0,-5)

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extreme f(x,y)=xy+5x-5

extreme points

f (x, y) = x y + 5 x - 5

Saddle (0, - 5)

Solution steps

Find the critical points:

(0, - 5)

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

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(0, - 5) :

Saddle

Saddle (0, - 5)

f (x) = - x^{3} - 6 x^{2}

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

f (x) = x^{3} + 9 x^{2} + 24 x + 20

f (x) = x - \frac{1}{6} x^{2} - \frac{2}{3} ln (x)

f (x) = e^{x y}