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Popular >

extreme f(x)=x*y

Solution

extreme points

f (x) = x \cdot 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)

Popular Examples

extreme f(x,y)=2x^3+x^2y^2-6x-4y^2+5 extreme points

f (x, y) = 2 x^{3} + x^{2} y^{2} - 6 x - 4 y^{2} + 5

extreme f(x,y)=ye^{x^2-y^2}extreme points

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

extreme f(x,y)= 1/3 x^3+4/3 y^3-x^2-3x-4y-3 extreme points

f (x, y) = \frac{1}{3} x^{3} + \frac{4}{3} y^{3} - x^{2} - 3 x - 4 y - 3

extreme f(x)=3x^4-8^3-6x^2+24x-2 extreme points

f (x) = 3 x^{4} - 8^{3} - 6 x^{2} + 24 x - 2

extreme f(x)=x^3-5x^2-8x-8 extreme points

f (x) = x^{3} - 5 x^{2} - 8 x - 8

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x*y ?
The extreme f(x)=x*y is Saddle(0,0)