• If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

  • Whenever you search in PBworks, Dokkio Sidebar (from the makers of PBworks) will run the same search in your Drive, Dropbox, OneDrive, Gmail, and Slack. Now you can find what you're looking for wherever it lives. Try Dokkio Sidebar for free.


Points of inflection as places where concavity changes

Page history last edited by PBworks 15 years ago
Points of Inflection -


Points of inflection (or inflection points) can be points on a curve in which the curvature (or concavity) of the curve changes. This point also corrisponds to the point where a line tangent to that curve intersects the curve.


On a function, the points of inflection is a point on a function f(x), where f'(x) is at an extremum. *


*Note: The lowest non-zero derivative of the function must be an odd order in order for those points to be points of inflection (1st, 3rd, 5th, etc..)


Points of inflection are where a change occurs in the rate at which the function changes.




If you throw a ball directly upward, and you graphed position as f(x), velocity as f'(x), and acceleration as f"(x). At the point where the ball is farthest from the ground, the position is switching direction. *CONTINUE HERE*


Concavity -



 Andrew Stanford








Comments (1)

Anonymous said

at 8:55 am on Feb 21, 2008

Well, the page is incomplete...doesn't have the required elements...etc. etc. Please complete it! Mr. S

You don't have permission to comment on this page.