## Section 3.3 - Rules for Differentiation

**Essential Question(s):**

What is the purpose of the rules for differentiation?

What similarities and differences do the rules for differentiation have?

**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.

__Positive Integer Powers, Multiples, Sums, and Differences__

- What is the derivative of a constant function? (Rule 1 pg 118)
- What is the power rule for positive integer powers of x? (Rule 2 pg 118)
- What is the constant multiple rule? (Rule 3 pg 119)
- What is the sum and difference rule? (Rule 4 pg 119)
- How do you differentiate a polynomial? (Ex 1 pg 120)
- How do you find horizontal tangents? (Ex 2 pg 120)
- How do you deal with polynomials that don't factor? (Ex 3 pg 120-121)
- REVIEW - Rounding Calculator Values (sidebar pg 121)

__Products and Quotients__

- What is the product rule? (Rule 5 pg 121)
- How do you differentiate a product? (Ex 4 pg 122)
- What is the quotient rule? (Rule 6 pg 122)
- How do you apply the quotient rule? (Ex 5 pg 122-123)
- How do you work with numerical values? (Ex 6 pg 123)

__Negative Integer Powers of x__

- What is the power rule for negative integer powers of x? (Rule 7 pg 123)
- How do you use the power rule? (Ex 7 pg 124)

__Second and Higher Order Derivatives__

- What are first, second, third and nth derivatives? (pg 124)
- How do you find higher order derivatives? (Ex 8 pg 125)
- How can numerical values be applied? (Ex 9 pg 125)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 118-125.
- Make sure to read the paragraphs between the examples and sidebar snippets.