ONLINE Unit 4: Applications of Differentiation

Unit 4: Applications of Differentiation

• Day 32: Implicit Differentiation

  • • Video 1: Slope of a Quadratic

    • Video 2: Slope of a Circle

    • Video 3: Intro to Implicit Differentiation

    • Video 4: Implicit Differentiation Example 1 and 2

      • • OOPS!!! Dropped a "2y" right at 7:43

    • Video 5: Back to the Circle

    • Video 6: Another Example

    • Video 7: Harder Example

    • Video 8: More Examples... a bit long. Also a mistake in the first 3 min. Can you find it?

      • • 3.10: 9-25 odd, 31-37 Odd

          • • 15, 17 and 19

            • 35 and 37

• FriDay 33: More Implicit Differentiation

  • • Video 1: Four More Practice Problems

    • Video 2: Answer 1

    • Video 3: Answer 2

    • Video 4: Answer 3

    • Video 5: Answer 4

    • Video 6: Those Formulas from 3.8 and 3.9

      • • New Canvas Quiz

        • Finish 3.10: 10-26 even, 32-38 even

          • • Book Answers

              • • 6-15 15-20 21-28

                • 32 part 1 32-37 37-38

            • Mr. B Answers

              • • 16, 18, 34 and 38.

                • 11 and 23

                • 31

• . MonDay 34: Related Rates

  • • Video: Book Example 1

    • Video: Book Example 2

    • Video: Book Example 3

    • Video: Book Example 4

      • • 3.11: 1-25, 29-30, 33-34

          • • Selected Written Up Answers

            • Video Answers

              • • 3 4 17 18

                • 19 24 25 33

                • 34

• Day 35: More Related Rates

  • • Video: The 3 examples From BC

      • • 7 17 21

    • Document: Fully Written up Examples from BC

      • • Related Rates Worksheet

        • Related Rates Worksheet Answers

          • • 4 5 7 9 11

• Day 36: Related Rates Workday

  • • No New Videos. See the Above for semi-humorous pictures

      • • Related Rates Worksheet

        • Related Rates Worksheet Answers

          • • 4 5 7 9 11

        • Do you think you want to take the AB exam? If so, buy a practice book and start working. I can help during lunch. I recommend: THIS ONE

• Day 37: Additional Workday

  • • No New Videos. See the Above for semi-humorous pictures

      • • Start FRQ 8 if you are ready to

FRQ 8: Related Rates

(Calculator Allowed. Ideally 30 minutes, 45 minutes or more may be needed)

• FriDay 38: Three-Day Weekend (Math at least)

  • • The AP exam registration deadline is Monday, Nov 02, 2020. All students who are in an AP class, have registered for the AP exam in the College Board website AND have submitted a CV AP form for every AP exam they have registered for by the deadline, will have their exam fee paid by the school district.

• MonDay 39: Extrema

  • • Video 1: Types of Extrema

    • Video 2: More Examples

    • Video 3: Absolute Extrema

    • Video 4: Another Example (Mr. B Screws Up)

    • Video 5: Hey? Why Not? Here is Another Example (or Two)

    • Video 6: And One More for Free!

      • • 4.2: 21-23, 29-41 odd, 47, 55

          • • 21 39 41

            • 45 47

• Day 40: Mean Value Theorem and More Monotonicity (Click to see the last few Pics I didn't video)

  • • Video 1: Mean Value Theorem Example

    • Video 2: More Thoughts on the Mean Value Theorem

    • Video 3: One More MVT Example

    • Video 4: Intro to Monotonicity

    • Video 5: More on Increasing and Decreasing

      • • 4.3: 1-7 odd, 15-18, 23, 25, 29, 31, 35-39 odd, 49

          • • 3 7 25 29

            • 31 49

• Day 41: Work Day (see link for Cat Washing tips)

  • • No Videos

      • • Get Caught Up!

        • FRQ8 really should be in sometime today if possible

• Day 42: Concavity and Inflection Points

  • • Video 1: Tying Stuff Together

    • Video 2: One More Of Those, but with Trig

    • Video 3: Today's Notes

    • Video 4: Points of Inflection

    • Video 5: A Full Problem Part 1

    • Video 6: A Full Problem Part 2

    • Video 7: One More of Those, but with Trig

      • • 4.4: 1, 2, 3-17 odd, 20-23, 25-29 odd, 39-51 odd, 54-56

          • • 4.3: #37 Full Write-up

            • 4.4: #9 Video

            • 4.4: #11 Write-up

            • 4.4: #13 Video

            • 4.4: #15 Video

            • 4.4: #21 and #22

            • 4.4: #29 Video

            • 4.4: #45 Full Write-up (= with an H on top is Monday's topic)

            • 4.4: #51 Full Write-up (= with an H on top is Monday's topic)

            • 4.4: #56

• FriDay 43: More Practice

  • • No New Videos

FRQ 9: Shapes of Curves 1

(Non Graphing Calculator allowed, shoot for about 20 minutes)

(Difficulty similar to Day 42 Video 5 and 6)

• MonDay 44: L'Hopital's Rule

  • • Video 1: Remember Rational Polynomial Functions?

    • Video 2: Indeterminants

    • Video 3: Proof of L'Hopital's Rule

    • Video 4: Example 1

    • Video 5: More Examples

    • Video 6: Yes Even MORE Examples

    • Video 7: Final Examples

      • • 4.5: 1-43 odd

          • • 15 17 and 43 29 (Video)

            • 35 37

• Day 45: Related Rates Answers, Workday (click for semi-humorous pics)

  • • Video 1: FRQ 8 Answer 1

    • Video 2: FRQ 8 Answer 2

    • Video 3: FRQ 8 Answer 3

      • • Get Your Canvas Quizzes up to 100%

        • Get Caught Up

• Day 1: Optimization

  • • Video 1: Optimization Example 1

    • Video 2: Optimization Example 2

    • Video 3: Optimization Example 3

      • • 4.7: 1-9, 11-13 (approximate only on #13), 23, 33

          • • 1 3 5

            • 7 9 11

            • 13 33

• FriDay 2: More Optimization

  • • Video 1: 4.7 #2

    • Video 2: 4.7 #4

    • Video 3: 4.7 #6a

    • Video pi: 4.7 #6b

    • Video 4: 4.7 #8

    • Video 5: 4.7 #12

      • • Redo 4.7: 1-9, 11-13 (approximate only on #13), 23, 33

          • • see Day 1 for requests

• MonDay 3: Workday (Click for Semi-Humorous Pics)

  • • No Videos

      • • Be Sure to Make Requests! FRQ 10 is similar to the Homework

• Day 4: Last Day of Quarter 1

  • • No Videos

FRQ 10: Optimization

(Use a calculator. Shoot for about 20 minutes)