Concavity and the Second Derivative Test

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Taught by Houston
  • Currently 4.0/5 Stars.
3716 views | 2 ratings
Meets NCTM Standards:
Lesson Description:

Concavity and the second derivative. The second derivative test for local extrema.

Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at

Additional Resources:
Questions answered by this video:
  • What is concavity?
  • What is the second derivative test?
  • How can you tell when a graph is concave up or concave down?
  • What does it mean for a graph to be concave up or concave down?
  • Staff Review

    • Currently 4.0/5 Stars.
    This video explains the ins and outs of graphs being concave up or concave down. Several examples and pictures are used to hit home the point. The second derivative test is used to find inflection points and determine where a graph is concave up or concave down. Critical points and local extrema are revisited. There is not a lot of new terminology in this video, and there are many different useful example problems.