## Section 10.4 - Numerical Derivatives and Integrals

**Essential Question(s):**

How are previous concepts utilized when calculating numerical derivatives and numerical integrals?

**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.

__Derivatives on a Calculator__

- How can you find a numerical derivative on a calculator? (Ex 1 pg 827)
****note - we don't use the "h" feature.****

__Integrals on a Calculator__

- How can you find a numerical integral on a calculator? (Ex 2 pg 828)
- How are numerical integrals applied? (Ex 3 pg 828 - 829)

__Computing a Derivative from Data__

- What are the two ways to get a derivative from a set of data? (above Ex 4 pg 829)
- How do you find derivatives from data? (Ex 4 pg 829)

__Computing a Definite Integral from Data__

- How do you approximate a definite integral from a set of data? (pg 830)
- How do you calculate a definite integral using data? (Ex 6 pg 831)

**STEP 3: Reading**

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

- Read pages 826 - 831.
- Make sure to read the paragraphs between the examples.