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AP Calculus Review 3.1-3.5. 3.1 Definition(s) of the Derivative.

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Presentation on theme: "AP Calculus Review 3.1-3.5. 3.1 Definition(s) of the Derivative."— Presentation transcript:

1 AP Calculus Review 3.1-3.5

2 3.1 Definition(s) of the Derivative

3

4

5 Relating f(x) and f’(x) Graphically

6 3.2 Types of NON-Differentiability

7 Not Continuous (Remember: Differentiability implies Continuity)

8 3.2 Types of NON-Differentiability Not Continuous (Remember: Continuity implies Differentiability) Cusp

9 3.2 Types of NON-Differentiability Not Continuous (Remember: Continuity implies Differentiability) Cusp Corner

10 3.2 Types of NON-Differentiability Not Continuous (Remember: Continuity implies Differentiability) Cusp Corner Vertical Tangent (Note: A vertical tangent is NOT a vertical asymptote)

11 3.3 Rules for Differentiation Power Rule Product Rule Quotient Rule

12 3.4 Rates of Change Average Rate of Change Motion Problems

13 3.5 Trig Function Derivatives All six trig functions and their derivatives

14 Workbook Problems Lesson 1 #1-4 Lesson 2 #1-2 Extra Sheet #5-7 and Examples #1-3 Lesson 3 #2-4

15 Review Worksheets Worksheet §3.1 ALL (will get on Friday) Worksheet §3.2 ALL Worksheet §3.3 #2, 3, 5, 6, 7 Worksheet §3.4 #2-5, 7, 10, 13, 14 Worksheet §3.5 #4-7


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