Unit 3:  The Derivative

Chapter 3:  The Derivative

COVID Era Unit 3 Videos

• Day 17:  Final Requests, The Definition of a Derivative

  • • Video 1:  The Definition of a Derivative

    • Video 2:  An Example of Finding the Slope of a Line Tangent to a Curve

    • Video 3:  Finding the Equation of a Line Tangent to a Curve

    • Video 4:  One More Example of Finding the Equation of a Line Tangent to a Curve

    • A Few More Examples of Definition of a Derivative

    • 3.1:  3-5 odd, 11-16, 27-43 odd

• Day 18:  Buffer Day, More On Definition of a Derivative (45)

  • • Consider Studying

• Day 19:  Limits Test

  • • Revisit the videos below if needed

    • Video 1:  The Definition of a Derivative

    • Video 2:  An Example of Finding the Slope of a Line Tangent to a Curve

    • Video 3:  Finding the Equation of a Line Tangent to a Curve

    • Video 4:  One More Example of Finding the Equation of a Line Tangent to a Curve

    • A Few More Examples of Definition of a Derivative

    • 3.1:  3-5 odd, 11-16, 27-43 odd

• Day 20:  More on the Difference Quotient, Types of Nondifferentiabilities, worktime

  • • A Few More Examples of Definition of a Derivative

    • Definition of a Derivative Worksheet

      • • Definition of a Derivative Worksheet Answers

    • 3.2:  1-4, 6, 15-16, 51 (use the definition of a derivative only on this assignment)

    • Quiz on Thursday the 23rd

• Day 21:  Requests, Magic Pens (45)

  • • Get Caught Up

    • Quiz on Thursday the 23rd (See Day 20's homework)

• Day 22:  Derivatives of Graphs of Functions

  • • Graphing Derivatives Worksheet 1 (Done in-class)

      • • Graphing Derivatives Worksheet 1 Answers

    • Graphing Derivatives Worksheet 2 (Done in-class)

      • • Graphing Derivatives Worksheet 2 Answers

        • Video:  Graphs Handout Answers 1-4

        • Video:  Graphs Handout Answers 5-8

    • 3.2:  43-45, 66-68, 70, 77-82

    • Quiz on Thursday the 23rd like the below assignments

      • • Definition of a Derivative Worksheet

          • • Definition of a Derivative Worksheet Answers

        • A Few More Examples of Definition of a Derivative

• Day 23:  The Derivative of e^x (Fake for now), The Power Rule and a Few More (70) and The Difference Quotient Quiz (20)

  • • WATCH this Video of stuff we couldn't get to today

      • • Video 9:  More Examples

    • 3.2:  7-16, 19-29 odd, 33-36, 52, 53

• Day 24:  The Product Rule and Quotient Rules (45) 

  • • 3.3:  1-15 odd, 16, 17-33odd, 39-42, 45

• Day 25:  Requests and Workday (75)

  • • Get Caught Up

    • Rework old Class Examples

    • LAST DAY TO OPT OUT OF THE AP EXAM FOR FREE!

• Day 26:  Applications to Physics (45)

  • • Rework In-Class Examples

      • • In-Class Example Answers

    • 3.4:  14, 21, 22, 43

    • Quiz on Power, Product and Quotient Rules Next Time

      • • Video 6:  Power Rule

        • Video 7:  A Bunch of Power Rule Examples

        • Video 8:  The Sum (and Difference) Rule

        • Video 9: More Examples

        • Video 10:  Another Differentiation Rule and a Summary

        • Video 11:  Last Examples

        • Video 2:  The Product Rule

        • Video 3:  Bunch of Examples

        • Video 4:  The Quotient Rule  

        • Video 5:  Yes Even More Examples

    • Today's Lesson

      • • Video 1:  Physics Example 1 - Velocity

        • Video 2:  Physics Example 1 - Diagram of the Path

        • Video 3:  Physics Example 1 - Total Distance Traveled

        • Video 4:  Physics Example 1 - Acceleration

        • Video 5:  Physics Example 1 - Speeding Up v Acceleration

        • Video 6:  Physics Example 1 - SU and SD

• Day 27:  Finish Day 26, Requests, Workday and Basic Derivatives Quiz

  • • Rework In-Class Examples

      • • In-Class Example Answers

    • Physics Application Extra Practice (save #2 for Day 29)

      • • Physics Application Extra Practice Answers

• Day 28:  The Second Derivative and Beyond

  • • 3.5:  1-25 odd, 37, 39-40, 43

      • • 13 and 25 37 43

    • Master 3.1 to 3.5 and the physics stuff before Monday

• Day 29:  Remember Trigonometry??

  • • 3.6:  1-45 odd, 49

      • • 17     41

        • 9 and 45

    • Physics Application Extra Practice (NOW try #2)

      • • Physics Application Extra Practice Answers

• Day 30:  The Chain Rule

  • • Rework the in-class examples (see today's notes)

    • 3.7:  11-21 odd (ignore directions), 23-75 odd

• Day 31:  Official Derivative of e^x (45)

  • • Chain rule worksheet 1 

      • • Chain rule worksheet 1 answers

    • 3.7:  24-76 even

• Day 32:  More on the Chain Rule

  • • Chain rule worksheet 2

      • • Chain rule worksheet 2 answers

    • Quiz on Thursday!!

• Day 33:  Inverse and a Quiz on the Chain Rule and Trigonometry

  • • 3.8:  3-15 odd, 23, 27-33 odd

• Day 34:  More Inverse, Derivatives of Exponential and Logarithmic Functions

  • • 3.9:  1-31 odd

    • Be Thankful you can work on all of this over the break

• Day 35:  Review

  • • Rework all quizzes

    • Rework all homework problems from Day 17 to Day 34

    • Go to the end of chapter 3 in your book and do "Preparing for the AP Exam" (pages AP 3-1 to AP 3-3 ): 2, 4, 5-13, 20, Free Response Question (FRQ) 1 

    • Do all of the unassigned problems in Chapter 3

    • Last Chance to Elect to take the class Pass/No Pass is next time BEFORE you start the test.

• Day 36:  Derivatives Test

  • • None!!  Go home and get caught up on Instagram