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 Maximum
Check critical point Saddle
Check critical point Saddle
Graph
Popular Examples
extreme f(x,y)=7x-8y+2xy-x^2+y^3extreme f(x)=-2/3 x^3+2x^2+6x+6extreme f(x,y)=x^3-6xy+y^3extreme f(x,y)=2x^4+y^2-x^2-2yroots 32xy
Frequently Asked Questions (FAQ)
What is the extreme f(x,y)=x^3+3xy^2-3y^2-3x^2+11 ?
The extreme f(x,y)=x^3+3xy^2-3y^2-3x^2+11 is Minimum(2,0),Maximum(0,0),Saddle(1,1),Saddle(1,-1)