In this lesson, we learn about concavity and the second derivative test for local extrema. We see that a graph is concave up if the slope is increasing, and concave down if the slope is decreasing. We also learn how to use the second derivative to determine the concavity of the graph, and apply the second derivative test to classify critical numbers as local maximum or minimum values.
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 http://online.math.uh.edu/HoustonACT/videocalculus/index.html.