Section 3.2 - Implicit Differentiation

Essential Question(s):
How is implicit differentiation similar and different than differentiation?
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).
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.
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
Lenses, Tangents, and Normal Lines
Derivatives of Higher Order
Rational Powers of Differentiable Functions
- What is implicit differentiation?
- What is the implicit differentiation process? (Flow Map)
Lenses, Tangents, and Normal Lines
- How do you find the numerical derivative using implicit differentiation?
Derivatives of Higher Order
- How do you find a second derivative implicitly? (Flow Map)
Rational Powers of Differentiable Functions
- What is the power rule for rational powers?
STEP 3: Reading
If time permits, then reread the lesson and take any extra notes as needed.
If time permits, then reread the lesson and take any extra notes as needed.