AP Calculus AB

Unit 2 Outline: Differentiation Homework/Classwork

You will need to stay current with completing the homework assignments. Please complete the assignment, in

pencil, on loose leaf notebook paper as it will be collected and graded at the end of the unit.

Day Topic Homework/Classwork

1 Intro to Derivatives 2.1 – The Derivative & Tangent Line Problem

Tangent lines – including finding the slopes or equation of

Derivative (including alternate form)

Differentiability & continuity

Normal Lines

Graphs of derivatives

2.1 p.103 #5,9,11,19-25 odd, 33, 37, 39-42all, 43, 45, 57, 59, 64, 83-87 odd, 97, 102-104 all

2 Handout – AP Style problems (limit definition of derivative) 2.2/2.3/2.4 – Derivatives and Tangent Lines

Tangent lines and slopes

Horizontal tangent lines

Graphs of derivatives

2.2 p. 115 # 31-37, 55-65 odd, 67, 75, 87-92 all, 2.3 p.126 # 65, 75 2.4 p. 138 # 67-81 odd, 101-103 all

3 2.2/2.3/2.4 Rates of Change

Velocity and acceleration

Average vs. instantaneous

Sec 2.2 p. 116 # 93-103 odd, 107, 108 Sec 2.3 p. 126 # 83, 93-99 odd, 105-109 all, 111, 112 Sec 2.4 p. 138 # 111-113 all

4 Quiz – Derivatives and Tangent Lines (not including rates of change) Handout – Helpful information…wording of problems

Worksheets

Extra practice with 2.2 & 2.3

Chain Rule

6 Quiz – Rates of Change 2.5 Implicit Differentiation

Notation

Explicit vs. Implicit

2nd derivatives including subbing in the 1st derivative & the original equation to simplify

2.5 p.146 # 1-15 odd, 21-27 odd, 31, 33, 34, 37, 45-49 odd, 53, 57

7 2.6 Related Rates

Typed notes

2.6 p.154 # 1-21 odd, 24, 25, 29, 31, 33, 34, 42

8 Review Barron’s 9th or later p.134 #1-8, 14, 15, 17, 19, 21-24, 27, 29

9 Test – Unit 2

Note: The timeline of these assignments is subject to change based on the pacing of the class.