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 + \frac{1}{x}, 0.2 \leq x \leq 4

f (x, y) = x^{3} + 3 x y^{2} - 3 y^{2} - 3 x^{2} + 11

f (x, y) = 7 x - 8 y + 2 x y - x^{2} + y^{3}

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

f (x) = x^{3} - 6 x^{2} + 1