ONLINE Unit 3: The Derivative

Chapter 3: The Derivative

• Wednesday Day 16: The Definition of a Derivative

  • • Live Video Period 1: First... We chat about FRQ 2. Then: No Joke... Fire Drill

    • Live Video Period 4: Definitely not the above. Just a chat about FRQ 2

    • 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

      • • Redo the Examples in the above videos

        • A Few More Examples of Definition of a Derivative

• Day 17: More Practice with the Definition of a Derivative

  • • Video 1: An Example

      • • Make up your own example like this one. CHECK YOUR ANSWER!

    • Video 2: Another Example

      • • Make up your own example like this one. CHECK YOUR ANSWER!

        • READ 3.1

        • 3.1: 3-9 odd, 11-16, 27-43 odd,

          • • 9 14 15

            • 16, 31, 39 and 43

        • A Few More Examples of Definition of a Derivative

• FriDay 18: More on the Difference Quotient

  • • Video 1: Finding the Equation of a Lot of Lines Tangent to a Curve

    • Video 2: A New Formula for the Definition of a Derivative

    • Video 3: Another Example

      • • READ 3.2. Seriously... Read the book. There is stuff in there I can't always cover this year

        • 3.2: 1-6, 15-17, 51 (use the definition of a derivative only on this assignment)

          • • 5 7

            • 4, 16, 17, 51

        • Definition of a Derivative Worksheet

        • Definition of a Derivative Worksheet Answers

        • Do the New Canvas Quizzes

FRQ 4: The Difference Quotient (No Calculator, 15 minutes)

• MonDay 19: Derivatives of Graphs of Functions

  • • Video 1: Drawing Derivatives Example 1 Parts 1 and 2

    • Video 2: Drawing Derivatives Example 1 Part 3

    • Video 3: Drawing Derivatives Example 1 Part 4

    • Video 5: Drawing Derivatives Example 2

    • Video 6: Drawing Derivatives Example 3

      • • Practice an infinite number of problems like the 3 important examples above.

        • Graphing Derivatives Worksheet 1 (Done in-class)

        • Graphing Derivatives Worksheet 1 Answers

    • Video 7: Bunch More Graphing

      • • Graphs Handout

          • • Video 8: Graphs Handout Answers 1-4

            • Video 9: Graphs Handout Answers 5-8

        • Read 3.2 (this should be a second time... focus on the graphing part)

        • 3.2: 43-45, 66-68

          • • 66 and 68

• Day 20: Workday

  • • No Videos!

      • • New Canvas Quiz

        • Get Caught Up

• Day 21 The Derivative y= e^x, the Power Rule and a Few Other Simple Rules

  • • Video 1: Mr. B Accepts Bribes (they have no impact on final grades... but I accept them)

    • Video 2: What Most Books do Wrong

    • Video 3: The Derivative of the Natural Logarithm Function (Too early... but we don't have a choice)

    • Video 4: Finally the REAL Derivation of the Derivative of the Exponential Function

    • Video 5: Summary

    • 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

      • • READ 3.2 (lot going on in this section)

        • 3.2: 7-14, 15-17, 19-31 odd, 33-36, 37-41 odd, 52, 53

          • • 36, 52 and 53

• Day 22: Types of Nondifferentiabilities, The Product and Quotient Rules

  • • Video 1: Nondifferentiability

      • • 3.2: #70, 77-82

          • • Requests

    • Video 2: The Product Rule

    • Video 3: Bunch of Examples

    • Video 4: The Quotient Rule

    • Video 5: Yes Even More Examples

      • • New Canvas Quiz!

        • READ 3.3

        • 3.3: 1-15 odd, 16, 17-37 odd, 39-43, 45, 49

          • • 15

            • 5, 11, 13, 29, 45, and 49

• FriDay 23: Workday

  • • No New Videos!!

      • • Start FRQ 5

        • Get caught up

FRQ 5: Power, Product and Quotient Rules (No Calculator, Shoot for About 20 minutes or so)

• MonDay 24: Applications to Physics

  • • 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

    • Video 7: Physics Example 2 Part 1

    • Video 8: Physics Example 2 Part 2

    • Video 9: Physics Example 2 Part 3

    • Video Physics Example 3 Highlights (see example answers below)

      • • Rework In-Class Examples

          • • In-Class Example Answers

        • 3.4: 14, 21, 22, 43

          • • 21 22

• Day 25: Workday

  • • No Videos

      • • Get Caught Up

        • Physics Application Extra Practice (save #2 for Day 27)

          • • Physics Application Extra Practice Answers

FRQ 6: Physics (Calculator ok, Shoot for About 15 Minutes)

• Day 26: The Second Derivative and Beyond

  • • Video 1: Finding the Third Derivative

    • Video 2: Finding an Nth Derivative

    • Video 3: Finding an Nth Derivative Again

    • Video 4: Monotonicity, Concavity and Notation (from BC if it seems out of order)

    • Video 5: More Physics

      • • READ 3.5

        • 3.5: 1-25 odd, 37, 39-40, 43

          • • 13 and 25 43 37

• Day 27: Remember Trigonometry??

  • • Video 1: Intuitive Investigation of the Derivative of y = sin x (shot earlier sorry about pic repeats)

      • • Do you want to see the real thing?

    • Video 2: The Derivatives of the Other Four

    • Video 3: A Trig Example

      • • READ 3.6

        • 3.6: 1-45 odd, 49

          • • 17 41

            • 9 and 45

        • Physics Application Extra Practice (NOW try #2)

        • Physics Application Extra Practice Answers

• FriDay 28: Intro to The Chain Rule

  • • Video 1: Chain Rule Example 1 Proof Style

    • Video 2: Chain Rule Example 1 Book Style

    • Video 3: Chain Rule Example 1 Mr. B Style

    • Video 4: Four More Examples with Two Answers

    • Video 5: Last Two Answers

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

        • READ 3.7

        • 3.7: 7, 8, 11-21 odd (ignore directions)

          • • 8 17

• MonDay 29: More on the Chain Rule

  • • Video 1: Four More Examples and Answer 1

    • Video 2: Answer 2

    • Video 3: Answer 3

    • Video 4: Answer 4

      • • New Canvas Quiz

        • Chain rule worksheet 1

          • • Chain rule worksheet 1 answers

        • 3.7: 23-75 odd

          • • 27 and 33 37, 53 and 55

            • 45, 49, 51, 59, 65, and 67 69 and 71

• Day 30: Even MORE on the Chain Rule

  • • ASK ME FOR SOME REQUESTS!

      • • Chain rule worksheet 2

          • • Chain rule worksheet 2 answers

              • • 3 8

        • 3.7: 24-76 even

          • • Book Answers

              • • 21-28 29-39 40-50 50-58

                • 59-66 67-75 76

            • Buchanan Version (Requests

              • • 28 54

FRQ 7: Chain Rule (No Calculator, Shoot for About 20 Minutes)

• Day 31: Derivatives of Exponential and Logarithmic Functions

  • • Video 1: Skipping 3.8, but MEMORIZE These Two Rules

    • Video 2: The Book is Finally Catching Up

    • Video 3: A New Rule

    • Video 4: Final Rule of the Unit

      • • 3.9: 1-31 odd

          • • 21, 23, 27, 29 and 31