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AP Calculus Review 3.1-3.5

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.

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AP Calculus Review 3.1-3.5

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  1. AP Calculus Review 3.1-3.5

  2. 3.1 Definition(s) of the Derivative

  3. Relating f(x) and f’(x) Graphically

  4. 3.2 Types of NON-Differentiability

  5. 3.2 Types of NON-Differentiability • Not Continuous(Remember: Differentiability implies Continuity)

  6. 3.2 Types of NON-Differentiability • Not Continuous(Remember: Continuity implies Differentiability) • Cusp

  7. 3.2 Types of NON-Differentiability • Not Continuous(Remember: Continuity implies Differentiability) • Cusp • Corner

  8. 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)

  9. 3.3 Rules for Differentiation •Power Rule • Product Rule • Quotient Rule

  10. 3.4 Rates of Change • Average Rate of Change • Motion Problems

  11. 3.5 Trig Function Derivatives • All six trig functions and their derivatives

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

  13. 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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