Solution
extreme points
Solution
Solution steps
Find the critical points:
Check the sign of at each critical point
Check critical point Minimum
Check critical point Saddle
Check critical point Saddle
Check critical point Maximum
Graph
Popular Examples
extreme f(x,y)=x^4+3xy^3-xyextreme f(x)=3x^2-3extreme f(x,y)=sqrt(1-x-y)extreme f(x)=x^4-4x^3-18x^2extreme y=x^4-2x^2
Frequently Asked Questions (FAQ)
What is the extreme f(x,y)=x^3+y^3+3x^2-18y^2+81y+5 ?
The extreme f(x,y)=x^3+y^3+3x^2-18y^2+81y+5 is Minimum(0,9),Saddle(0,3),Saddle(-2,9),Maximum(-2,3)