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 Maximum
Check critical point Minimum
Check critical point Saddle
Graph
Popular Examples
extreme f(x)= 1/3 x^3-x^2-3x+5extreme points extreme f(x,y)=x^3+y^3-27xyextreme points extreme f(x)=x^3+x^2-5x-5extreme points extreme f(x,y)=5x^2+3xy+e^{xy}extreme points extreme f(x)=x^3+2x^2+bextreme points
Frequently Asked Questions (FAQ)
What is the extreme f(x,z)=x^3+z^3-3x-3z ?
The extreme f(x,z)=x^3+z^3-3x-3z is Saddle(-1,1),Maximum(-1,-1),Minimum(1,1),Saddle(1,-1)