Topic 24 = Stewart 4.1 (Maximum & Minimum Values) = AP Classroom 5.2

Extreme Values (Maximum & Minimum Values)

Extreme values are extreme: they are the largest or smallest value of a function. The idea of extreme values is easy, but it's important to know the difference between a local, or relative, extreme value versus an absolute, or global, extreme value. Also important is how to find them; for local extrema we use critical numbers (the x-values where the derivative is either 0 or undefined).
Closed Interval Method: don't forget to check the values at the endpoints! This topic is tested regularly and frequently on the AP test, and forgetting to check the value of the function at the endpoints of a closed interval is one of the most common mistakes students make.

Action Items:

1. Take notes in class. If absent, review the powerpoints below and/or the extra resources, take notes as necessary (use the Notes document if you prefer), and make note of any questions you may have.

2. Book Practice 4.1.2: #41; 47-53 odd; 57, 61, 71. If you find yourself unable to complete the homework, spend at least half an hour watching and annotating one of the AP Classroom videos listed below or do the WaMap assignment as an alternative.

3. Establishing Continuity for the EVT and IVT (AP Classroom Handout 5.2).

4. Strongly Recommended: watch and annotate AP Classroom videos 5.2 (two videos).

5. Optional/Alternative HW: WaMap Assignment 3.3: MVT & Extreme Values. (Course ID: 32539, Enrollment Key: Newton)

Resources:

Topic 24: Extreme Values
Topic 24: Extreme Values Notes (Optional)
AP Classroom Daily Videos 5.2 (Extreme Values)
Stewart, Chapter 4, Section 1
Homework Solutions