## Section 4.2 - Implicit Differentiation

**Essential Question(s):**

How is implicit differentiation similar and different than differentiation?

**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.

__Implicitly Defined Functions__

- What is implicit differentiation? (pg 164)
- How do you differentiate implicitly? (Ex1 pg 164)
- How do you find slope on a circle? (Ex 2 pg 165)
- How do you solve for dy/dx? (Ex 3 pg 165)
- What is the implicit differentiation process? (pg 166)

__Lenses, Tangents, and Normal Lines__

- What is a normal to surface line? (pg 166)
- How do you find the tangent and normal to an ellipse? (Ex 4 pg 166)

__Derivatives of Higher Order__

- How do you find a second derivative implicitly? (Ex 5 pg 167)

__Rational Powers of Differentiable Functions__

- What is the power rule for rational powers? (pg 168)
- How do you use the rational power rule? (Example 6 pg 168-169)
- Read Example 7-Multiple Choice Challenges and take notes as needed. (pg 169)

**STEP 3: Reading**

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

- Read pages 164 - 170.
- Make sure to read the paragraphs between the examples and sidebar snippets.