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Popular >

extreme xy-x-3y

Solution

extreme points

x y - x - 3 y

Solution

Saddle (3, 1)

Solution steps

Find the critical points:

(3, 1)

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

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(3, 1) :

Saddle

Saddle (3, 1)

Popular Examples

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

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

extreme f(x)=x^3-9x^2+1 extreme points

f (x) = x^{3} - 9 x^{2} + 1

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

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

extreme f(x,y)=3x^3+y^2-9x+4y extreme points

f (x, y) = 3 x^{3} + y^{2} - 9 x + 4 y

extreme f(x)=(x^2-4)^3 extreme points

f (x) = (x^{2} - 4)^{3}

Frequently Asked Questions (FAQ)

What is the extreme xy-x-3y ?
The extreme xy-x-3y is Saddle(3,1)