Online College Courses for Credit

3.6 Inflections and Shape

3.6 Inflections and Shape

Author: Ian VanderSchee

Learners will use the second derivative to find points of inflection, changes in concavity, and other factors of the overall shape of the graph of a function.

Second derivative is used to determine concavity and to find inflection points on the graph of a function.

See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

29 Sophia partners guarantee credit transfer.

314 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Inflections and Shape

Second derivatives are applied to the concepts of inflection points, concavity and overall shape of the graph of a function.