pts of inflexion (1 Viewer)

[muttiah]

could some1 help me with these terms:

point of inflexion
stationery point of inflexion
horizontal point of inflexion

thanks bhye

 

[Raginsheep]

Point of inflection: When a curve changes concavity i.e. f" = 0

Stationary point of inflction = horizontal point of inction: when curve changes concavity and also gradient changes sign i.e. f' = 0 and f" = 0.

Note: When testing for change of concavity, finding that f" = 0 is not enough. You must either show that f" changes sign on either side of the point of inflection(taught in schools) or use the 3rd derivative test(not taught in schools).

 

[~shinigami~]

What's the 3rd derivative method, may I ask?

 

[Raginsheep]

http://community.boredofstudies.org...ar-topics/100243/third-derivative-method.html