Unit 5: Analytical Applications of Differentiation
Video 5.1 Using the Mean Value Theorem
Video 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
Video 5.3 Determining Intervals on Which a Function is Increasing or Decreasing
Video 5.4 Using the First Derivative Test to Determine Relative Local Extrema
Video 5.5 Using the Candidates Test to Determine Absolute (Global) Extrema
Video 5.6 Determining Concavity of Functions over Their Domains
Video 5.7 Using the Second Derivative Test to Determine Extrema
After completing the Review, see Mr. Liu for the mid-Unit 5 Exam!
Video 5.9 Connecting a Function, Its First Derivative, and Its Second Derivative
Video 5.12 Exploring Behaviors of Implicit Relations
No End of Unit 5 Exam, but refer to the Unit 5 Cheat Sheet. Unit 5 is HEAVILY tested on the AP Exam in the multiple choice and FRQ