Unit 3: Applications of Differentiation

Unit 3: Applications of Differentiation

• Day 25: Related Rates

  • • Video: Introduction to "Written up Examples" Below

      • • Written up Examples from HW: #7, #17 and #21

        • READ and start to attempt 4.1: #5-11 odd, 13, 19, 20, 23, 28, 32 (good luck)

          • • 4.1 #11 and #19 solution as requested (last year)

            • 23 28

            • Solution Manual Pics: 20 part 1 20 part 2 28 32

• Day 26: More Related Rates Practice

  • • No New Videos

      • • Ask for Requests! Best way to learn Related Rates is through examples

        • Connect with a classmate! Working with each other is a great way to learn math

        • New Canvas Quiz

        • Related Rates Worksheet

          • • This has been an AB assignment in the past, could be some of your book problems are included?

            • Related Rates Worksheet Answers

• Day 27: Extrema

  • • Video 1: What are Extrema?

    • Video 2: Extreme Theorems

    • Video 3: Example 1

    • Video 4: Example 2

    • Video 5: Example 3

      • • READ 4.2

        • 4.2: #23-43 odd, 26, 40, 44, 49, 51, 55a

          • • 26 and 31 43 and 49

• FriDay 28: Buffer Day

  • • No New Videos

      • • Finish your study of Related Rates

        • Do FRQ 6! Enjoy!

FRQ 6: Related Rates (Calculator needed, shoot for about 30 minutes)

• Monday Day 29: Curve Sketching

  • • Video 1: Example 1 Page 1

    • Video 2: Example 1 Page 2

    • Video 3: Example 1 Page 3

    • Video 4: Example 2 Page 1

    • Video 5: Example 2 Page 2

    • Video 6: Example 2 Page 3

    • Video 7: Example 3

      • • Redo the 3 in-class examples

        • READ 4.3

        • 4.3: 17-29 odd, 33, 41

          • • 23 29 33 41

• Day 30: Workday

  • • No New Videos... These take time to do...

      • • 4.3, but now do 18-30 even for more practice if needed (skip 28)

          • • Book Answers

              • • 18-21 21-24 25-27

                • 27-29 30

            • Mr B's Answers

              • • 30

• Day 31: L'Hopital's Rule

  • • Video: Another Curve Sketching Example

    • Video: Types of Indeterminants

    • Video: Proof of L'Hospital's Rule

    • Video First 4 Examples

    • Video Examples 5 and 6

    • Video Examples 7 and 8

    • Video Examples 9 and 10

      • • 4.5: 7-35 odd, 41

          • • 19 33

            • 9, 13, 27 and 35

• Day 32: Get caught up

  • • No Videos

FRQ 7: Curve Sketching (No Calculator, Shoot for About 15 Minutes)

Be sure to finish 4.3 and 4.5 before attempting

• FriDay 33: Optimization

  • • Video 1: Brief Intro

    • Video: Problem 2 on 4.6

    • Video: Problem 13 on 4.6

    • Video: Problem 17 on 4.6 with r = 8 and a calculator

      • • Read 4.6

        • 4.6: 3-5, 7-11 odd, 14, 16, 19, 21-22, 28-29, 36

          • • Book Answers

              • • 3-7 8-12 13-17 17-19

                • 20-23 28-30 34-36

            • Mr. B Requests

              • • 14

                • 28

                • 36 (video might have a typo... function is good but 21.1 ft is the answer)

• MonDay 34: Worktime

  • • No New Videos. See Above for Today's Semi-Humorous Pictures

FRQ 8: Optimization

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

• Day 35: Antiderivatives

  • • Video 1: Example 1

    • Video 2: Example 2

    • Video 3: Example 3

    • Video 4: Example 4

    • Video 5: Example 5

    • Video 6: Example 6

    • Video 7: Example 7

      • • 4.9: 3-9 odd, 10, 13, 14, 18-24, 26, 30-32, 34, 36, 42

          • • Book Answers

              • • 1-12 13-25 26-30

                • 31-35 36-44

            • Mr B. Answers

              • • 14, 20, 23, 24, 36 and 42 5

• Day 36: Workday

  • • No New Videos