Calculus I Lecture 11A Part 1 Derivatives and Shape

#Calculus #USF #USFMath #GoBulls

Today: Derivatives and the Shapes of Graphs
• Another Look at Concavity: The Change in the Change (1:33)
• Shapes of Graphs: Doing it All Together (4:18)
○ Finding intervals of increase and decrease
○ Finding local minimums and local maximums
○ Finding where a function is concave up, and where it is concave down
○ Finding inflection points
• The second derivative test for min and max. (17:05)

In the Book: Suggested Problems
Section 4.3, Examples 1, 2, 3, 4, and 5. Problems 1, 3, 7, 9, 13, 16, 17, 19, 21, 23, 24, 25, 27, 31, 33

Problem Sets:

= Chapters =
0:00 Introduction
1:33 Another Look at Concavity
4:18 The Shapes of Graphs
17:05 The Second Derivative Test

[mattkase]

Here from UF, you teach Calc a lot better than here lol