Skip to content

Learn Practice Plan Tutors Ask AI

⌘K

Sign in Join freeGet started

Courses Lessons Quick lessons Merit Tutors' Videos

Loading

Every AP course and the SAT, with the best lessons, Merit AI, and a plan for every test.

Learn

Courses
Lessons
Quick lessons
Merit Tutors' Videos
Merit AI

Study

Exam Sprint
Quick session
Learning plan
My schedule
Progress

Tutoring

Find a tutor
Become a tutor
Partner with Merit
For teachers

Merit

About
Pricing
For parents
How ranking works
Privacy
Terms

Videos play on YouTube. AP® and SAT® are trademarks of the College Board, which is not affiliated with Merit.

© 2026 Merit

Learn Practice Plan Ask AI

AP Calculus AB›Unit 5: Analytical Applications of Differentiation›Concavity and graphs

Concavity and Inflection Points

Concave up means f′ is increasing; concave down means f′ is decreasing. Inflection points are where concavity changes.

Using f″
Inflection points
Concavity from f′ graphs

Master this topicQuick session · about 18 min

Watch the top lessonThe Organic Chemistry Tutor Find a tutor

Search Calc AB

Quiz coming up?Connect your calendar: Merit preps you for every quiz and test.Sign up and connect

41 videos ranked by how well they teach

1

Concavity, Inflection Points, and Second Derivative

1.1M views on YouTube · 8 years ago

The Organic Chemistry Tutor

Calc BC · Concavity and Inflection Points

2

Concavity and Inflection Points(HD)

2.9K views on YouTube · 11 years ago

Calc BC · Concavity and Inflection Points

3

Concavity & Inflection Points Explained | Step-by-Step Examples

2.8K views on YouTube · 1 year ago

UUnderstand The Math

Calc BC · Concavity and Inflection Points

4

Concavity and Inflection Points

2.6K views on YouTube · 11 years ago

PPhysical Chemistry

Calc BC · Concavity and Inflection Points

5

What is an Inflection Point and Concavity? Applications of the Second Derivative

2.6K views on YouTube · 6 years ago

MMandapa Pandithage

Calc BC · Concavity and Inflection Points

6

Concavity and Inflection Points

2.5K views on YouTube · 14 years ago

BBeyondCalculus

Calc BC · Concavity and Inflection Points

7

Concavity and Inflection Points

2K views on YouTube · 11 years ago

The Math Sorcerer

Calc BC · Concavity and Inflection Points

8

5: Sketching the Graph Including Concavity and Inflection Points Continued

1.6K views on YouTube · 11 years ago

TTeresa Hartman

Calc BC · Concavity and Inflection Points

9

Concavity and Inflection Points | This is how You Rock Calculus!

784 views on YouTube · 5 years ago

Michael Bautista

Calc BC · Concavity and Inflection Points

10

Introduction to Concavity and Inflection Points in Calculus

275 views on YouTube · 5 years ago

Calc BC · Concavity and Inflection Points

11

AP Calc - Concavity & Inflection Points

176 views on YouTube · 5 years ago

Calc BC · Concavity and Inflection Points

12

Calculus 1 - Concavity and Inflection Points

131 views on YouTube · 5 years ago

MMath Lessons by Dr. Lane

Calc BC · Concavity and Inflection Points

13

Determining Concavity and Inflection Points of Functions

53 views on YouTube · 6 months ago

Calc BC · Concavity and Inflection Points

14

Concavity and Inflection Points (concept and example) - AP Calculus AB

34 views on YouTube · 5 years ago

Calc BC · Concavity and Inflection Points

15

AP Calculus Lec. 3.4 Concavity and Inflection Points

10 views on YouTube · 2 years ago

DDarrell Woodard

Calc BC · Concavity and Inflection Points

16

Inflection points introduction | AP Calculus AB | Khan Academy

623K views on YouTube · 13 years ago

Calc BC · Concavity and Inflection Points

17

Concavity introduction | Using derivatives to analyze functions | AP Calculus AB | Khan Academy

527K views on YouTube · 13 years ago

Calc BC · Concavity and Inflection Points

18

Inflection Points and Concavity Intuition

403K views on YouTube · 16 years ago

Calc BC · Concavity and Inflection Points

19

Ex: Concavity / Points of Inflection by Analyzing a Graph (Algebra Topic)

207K views on YouTube · 14 years ago

Calc BC · Concavity and Inflection Points

20

Calculus - Slope, Concavity, Max, Min, and Inflection Point (1 of 4) Trig Function

156K views on YouTube · 13 years ago

Michel van Biezen

Calc BC · Concavity and Inflection Points

Quiz on Concavity and Inflection Points soon?

Connect your class calendar and Merit lines up the lessons for every quiz and test, days before it's due.

Works with Canvas, Schoology, Blackbaud, Google Classroom, and more.

Sign up and connect

5Analytical Applications of Differentiation

Mean Value Theorem
Extreme Value Theorem and Critical Points
Increasing and Decreasing Intervals
The First Derivative Test
Absolute Extrema: The Candidates Test
Concavity and Inflection Points
The Second Derivative Test
Connecting f, f′, and f″
Optimization
Behavior of Implicit Relations

Next topic

The Second Derivative Test

209daysGet the Calc AB score you want.Free diagnostic, then a day-by-day Exam Sprint to exam day.

Best teachers for this topic

1The Organic Chemistry Tutor
2Brightstorm
3Understand The Math
4Physical Chemistry

Get a Calc AB tutor

Teacher? Add a lesson or guide for this topic

Also called: concavity, inflection points, concave up concave down