## Section 2.1 - Derivative of a Function

**Essential Question(s):**

How are derivatives related to rates of change?

What are the graphical connections between functions and their derivative?

**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.

__Definition of Derivative__

- What is the derivative?
- What does it mean to be differentiable?
- What is the alternate definition of a derivative?

__Notation__

- What are the many notations for derivatives?

__One-Sided Derivatives__

- What are the right-hand and left-hand derivatives?

**STEP 3: Reading**

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