AP Calculus Review 3.1-3.5.

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Presentation transcript:

AP Calculus Review 3.1-3.5

3.1 Definition(s) of the Derivative

Relating f(x) and f’(x) Graphically

3.2 Types of NON-Differentiability

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

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

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

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)

3.3 Rules for Differentiation •Power Rule • Product Rule • Quotient Rule

3.4 Rates of Change • Average Rate of Change • Motion Problems

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

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

Review Worksheets Worksheet §3.1 ALL (will get on Friday)