Unit 2

Unit 2: Differentiation Rules

FRQ 3: Sketching Graphs with Certain Traits (15 Minutes, No Calculator)

I HIGHLY recommend printing this FRQ out before attempting it. But I'll be as flexible as possible scoring this assignment for those of you who cannot print. Graph paper would be better than lined paper, but do what you can.

• Day 16: Derivative of e, Derivative of ln x, Derivative of e ^ x, Recap Power Rule

  • • 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: The Sum (and Difference) Rule

    • Video 8: Another Differentiation Rule and a Summary

      • • READ 3.1

        • 3.1: #7-21 odd, 32-46 even, 52 (read 51), 56

          • • 44, and 52 56

• Day 17: Product and Quotient Rule

  • • Video 1: The Product Rule

    • Video 2: The Quotient Rule

      • • READ 3.2

        • 3.2: #2, 3-17 odd, 26, 28, 31, 39

          • • 17 and 39

• FriDay 18: Physics

  • • Video 1: Physics Example - Velocity

    • Video 2: Physics Example - Diagram of the Path

    • Video 3: Physics Example - Total Distance Traveled

    • Video 4: Physics Example - Acceleration

    • Video 5: Physics Example - Speeding Up v Acceleration

    • Video 6: Physics Example - SU and SD

      • • New Canvas Quiz

        • 3.3: #2, 4, 7, 12, 14

          • • 2 12 and 14

        • Physics Application Extra Practice

        • Physics Application Extra Practice Answers

FRQ 4: Physics

• MonDay 19: Remember Trigonometry?

  • • Video 1: Intuitive Investigation of the Derivative of y = sin x

      • • Do you want to see the real thing?

    • Video 2: The Derivatives of the Other Four

      • • 3.4: #2-12 even, 18, 19-23 odd, 26, 30, 31, 35

          • • 19 26

            • 30 and 35

        • New Canvas Quiz

          • • Hint about Tangent Line Approximations

• Day 20: Recap Chain Rule. Remember Parametrics?

  • • Video 1: An Example with a Proof

    • Video 2: An Example with the Book Formula

    • Video 3: Mr. B Style

    • Video 4: One More Differentiation Rule

    • Video 5: Example Fest with Example 1 Answer

    • Video 6: Example 2 Answer

    • Video 7: Example 3 Answer

    • Video 8: Example 4 Answer

    • Video 9: Parametrics

      • • READ the parametric examples from the book

        • 3.5: #1-33 odd, 37-42, 49, 51, 55, 59, 60, 65-67

          • • 23 49 and 66

            • Sorry... lets skip 68 and 73 this year. 73 gives a bit more to the reason we use radians in calculus. Cycloids are cool, but... time and stuff...

        • Chain Rule Extra Practice

          • • Chain Rule Extra Practice Answers

• Day 21: Buffer Day

  • • No Videos

      • • Get Caught Up!

• Day 22: Implicit Differentiation

  • • Video 1: Let's Look at a Circle

    • Video 2: Let's Look at a Circle Again

    • Video 3: When's the Last Time You Looked at a Circle?

    • Video 4: A Parametric Break

    • Video 5: Let's Practice Parametrics a Bit More

    • Video 6: Let's Practice Parametrics even a Bit More

    • Video 7: Why Not Practice Parametrics a Bit More?

    • Video 8: Not Sick of Circles Yet?

    • Video 9: An Example

    • Video 10: Another Example

    • Video 11: Yep Another Example

      • • New Canvas Quizzes

        • 3.6: #3-19 odd, 25-33 odd, 34-38 even, 43, 47 (might save the inverse trig stuff for later)

          • • 11 25 38 43 47

• Fri Day 23: Inverse Trig

  • • Video 1: The Derivative of Arctan x

    • Video 2: Kidding... There is Just the ONE Video Today!

      • • Do FRQ 5 (Finish it this weekend to be on pace to survive Related Rates)

        • Finish 3.6: #3-19 odd, 25-33 odd, 34-38 even, 43, 47 (now is "later")

          • • 11 25 38 43 47

FRQ 5: Differentiation Rules 3.1, 3.2, 3.4 and 3.5 (No Calculator, Shoot for a Time of about 30 minutes)

• MonDay24: Logarithmic Differentiation

  • • Video 1: Some New Rules

    • Video 2: Applying Rules to the Wrong Problems

    • Video 3: Logarithmic Differentiation that we WON'T ever use

    • Video 4: Logarithmic Differentiation Guaranteed on the AP Exam

    • Video 5: Two More Examples

      • • 3.7: #3-19 odd, 24, 28-36 even, 37, 38

          • • 15 and 17 35, 37 and 38