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Popular >

extreme f(x)=xy

Solution

extreme points

f (x) = 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)

Popular Examples

extreme f(x,y)=ln(xy-6)extreme points

f (x, y) = ln (x y - 6)

extreme f(x,y)=xy+1/x+1/y extreme points

f (x, y) = x y + \frac{1}{x} + \frac{1}{y}

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

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

extreme f(x,y)=xe^y extreme points

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

extreme f(x,y)= 1/(sqrt(16-x^2-y^2))extreme points

f (x, y) = \frac{1}{16 - x ^{2} - y ^{2}}

Frequently Asked Questions (FAQ)

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