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Popular >

extreme f(xy)=xy

Solution

extreme points

f (x y) = x y

Solution

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

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

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

Graph

Popular Examples

extreme f(x)=2x^3-3x^2-12x+18 extreme points

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 18

extreme f(x)=x^3-3x^2-9x+1,0<= x<= 5 extreme points

f (x) = x^{3} - 3 x^{2} - 9 x + 1, 0 \leq x \leq 5

extreme f(x,y)= 1/4 x^4-1/2 x^2+y^2 extreme points

f (x, y) = \frac{1}{4} x^{4} - \frac{1}{2} x^{2} + y^{2}

extreme f(x)=x+4/(x^2)extreme points

f (x) = x + \frac{4}{x ^{2}}

extreme f(x)=(x-2)(x+1)(x+4)extreme points

f (x) = (x - 2) (x + 1) (x + 4)

Frequently Asked Questions (FAQ)

What is the extreme f(xy)=xy ?
The extreme f(xy)=xy is Saddle(0,0)