Chapter 3.2 - Rolle's Theorem and the Mean Value Theorem

Objectives:

• • Understand and use Rolle's Theorem.

  • Understand and use the Mean Value Theorem.

Rolle's Theorem and Mean Value Theorem pt1 (for Day #20 lesson)

Note that Rolle's Theorem is just a special case of the MVT. My video covers them both separately, but be aware that resources on the internet tend to focus more on the broader MVT, so don't expect to find as much further assistance on the specific case of Rolle's Theorem.

Of course I encourage you to try multiple resources above if you don't that any one resource is enough to make you feel able to start the assignment.

Introduction to what the Mean Value Theorem (MVT) guarantees about functions on an interval that meet certain conditions. Rolle's Theorem is a special case of the MVT.

Mean Value Theorem pt2 (for Day #21 lesson)

Applying the MVT to a given function, and then to a free-fall motion scenario.

Assessment through Chapter 3.2

Calculator allowed/required

Multiple Choice:

• • 20 questions, you pick 15 of them (but must do at least 2 of the 3 Related Rates questions)

Free Response with particular emphasis on the following recent topics:

• • 6 questions (Do all of them)

  • Chain/Product/Quotient rule with "ugly algebra"

  • Chapter 2.6: Related Rates

  • Chapter 3.1: Extrema on an interval

  • Chapter 3.2: Rolle's and Mean Value Theorem