## Section 4.2 - Mean Value Theorem

**Essential Question(s):**

What is the Mean Value Theorem and its applications?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your Cornell notes.

__Mean Value Theorem__

- What is the Mean Value Theorem?

__Physical Interpretation__

- What does the Mean Value Theorem mean?

__Increasing and Decreasing Functions__

- What is the definition of increasing and decreasing functions?
- What are monotonic functions?
- What is a corollary for increasing and decreasing functions?

__Other Consequences__

- How does the Mean Value Theorem help with constant functions?
- How does the Mean Value Theorem help with functions with the same derivative?
- What is an antiderivative?

**STEP 3: Reading**

__If time permits, reread__the lesson and take any extra notes as needed.