Section 2.2 - Differentiability
Essential Question(s):
How are continuity and differentiability related?
How are continuity and differentiability related?
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.
How f'(a) Might Fail to Exist
Differentiability Implies Local Linearity
Numerical Derivatives on a Calculator
Differentiability Implies Continuity
Intermediate Value Theorem for Derivatives
- What are four instances when f'(a) fail to exist?
Differentiability Implies Local Linearity
- What does locally linear mean? (pg 112)
Numerical Derivatives on a Calculator
- I will show you in class how to find derivatives, numerical derivatives and how to graph derivatives on your calculator.
- Make sure you read the "A word on notation" sidebar.
Differentiability Implies Continuity
- What is the connection between differentiability and continuity?
Intermediate Value Theorem for Derivatives
- What is the Intermediate Value Theorem for Derivatives?
STEP 3: Reading
If time permits, reread the lesson and take any extra notes as needed.
If time permits, reread the lesson and take any extra notes as needed.
