Standard 2: Rolle's Theorem and Mean Value Theorem
Objective: Upon completion of this lesson, students should be able to:
Lesson Questions:
Lesson Notes: 3.2 Notes
Lesson Videos: 3.2 Video
Homework Practice: p. 176# 1-23 odd, 29, 33-36, 39-45 odd, 51, 57, 58
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.
Objective: Upon completion of this lesson, students should be able to:
- know what the extreme value theorem (EVT) is.
- know what Rolle's Theorem (RT) is.
- know what Mean Value Theorem (MVT) is.
- know the conditions under which each theorem is true.
- understand how RT and MVT are applied in real circumstances.
Lesson Questions:
- State each theorem in your own words.
- Draw what each theorem is discussing.
- Give an example of a function that is continuous on an interval [a,b], f(a) equals f(b), but there is no point in [a,b] such that f ' (x) = 0.
Lesson Notes: 3.2 Notes
Lesson Videos: 3.2 Video
Homework Practice: p. 176# 1-23 odd, 29, 33-36, 39-45 odd, 51, 57, 58
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.