Standard #: MA.912.C.3.5


This document was generated on CPALMS - www.cpalms.org



Determine the concavity and points of inflection of a function using its second derivative.


Examples


Example: For the graph of the function f(x)=x3-3x, find the points of inflection of f(x) and determine where f(x) is concave upward and concave downward.

General Information

Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus
Standard: Apply derivatives to solve problems.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

Course Number1111 Course Title222
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))


Related Resources

Tutorials

Name Description
Concavity, concave upwards and concave downwards intervals

You will learn how to find concavity, concave upwards and concave downwards intervals of functions, and how this relates to the second derivative of a function.

Recognizing Concavity of Functions

Learn how to recognizing concavity of functions.

Inflection points of functions

How to find inflection points of functions graphically and using the second derivaive.

Student Resources

Tutorials

Name Description
Concavity, concave upwards and concave downwards intervals:

You will learn how to find concavity, concave upwards and concave downwards intervals of functions, and how this relates to the second derivative of a function.

Recognizing Concavity of Functions:

Learn how to recognizing concavity of functions.

Inflection points of functions:

How to find inflection points of functions graphically and using the second derivaive.



Printed On:4/20/2024 5:16:29 AM
Print Page | Close this window