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AP Calculus Review 3.1-3.5

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3.1 Definition(s) of the Derivative

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Relating f(x) and f’(x) Graphically

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3.2 Types of NON-Differentiability

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Not Continuous (Remember: Differentiability implies Continuity)

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

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

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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)

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3.3 Rules for Differentiation Power Rule Product Rule Quotient Rule

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3.4 Rates of Change Average Rate of Change Motion Problems

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3.5 Trig Function Derivatives All six trig functions and their derivatives

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

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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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