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AP Calculus Review

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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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**3.2 Types of NON-Differentiability**

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)**

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Limit Definition of the Derivative. Objective To use the limit definition to find the derivative of a function. TS: Devoloping a capacity for working.

Limit Definition of the Derivative. Objective To use the limit definition to find the derivative of a function. TS: Devoloping a capacity for working.

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