## Section 5.5 - Linearization, Sensitivity, and Differentials

**Essential Question(s):**

Explain the process of finding the linearization of a function and its usage.

**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.

__Linear Approximation__

- What is linearization? (pg 238)
- How do you find a linearization? (Ex 1 & 2 pg 239)
- How do you approximate binomial powers? (Ex 3 pg 240)
- How do you approximate roots? (Ex 4 pg 240)

__Differentials__

- What are differentials? (pg 241)
- How do you find differentials? (Ex 5 pg 241)
- What is the differential of f? (pg 241-242)
- How do you find differentials of functions? (Ex 6 pg 242)
- What is the differential estimate of change? (pg 242)

**STEP 3: Reading**

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

- Read pages 238 - 246.
- Make sure to read the paragraphs between the examples and sidebar snippets.