Solution
extreme points
Solution
Solution steps
Find the critical points:
Check the sign of at each critical point
Check critical point Saddle
Check critical point Saddle
Check critical point Minimum
Check critical point Maximum
Graph
Popular Examples
extreme f(x)=(4x^2)/(x-8)extreme points extreme f(x)=-2x^2+12x+3extreme points extreme f(x,y)=-y^2+xy-x^3+y+3extreme points extreme f(x,y)=2x^2+3y^2+2xy+10x-20yextreme points extreme f(x,y)=48xy-32x^3-24y^2extreme points
Frequently Asked Questions (FAQ)
What is the extreme f(x,y)=x^2y-2xy+3y^3-3y ?
The extreme f(x,y)=x^2y-2xy+3y^3-3y is Saddle(3,0),Saddle(-1,0),Minimum(1, 2/3),Maximum(1,-2/3)