Thursday, October 18, 2012

Applications of the Derivative (Ch 4)

We have spent a month learning how to find the derivative for any function.  Now we will start using those derivatives to solve problems or explain phenomena.

10/18  4.1  Extreme Values of Functions
                 HW p.194-195/15-30 by 3's, 31-43 odd, 44, 51, 53, 55
10/19  4.2  Mean Value Theorem and Antiderivatives
                 HW p.202-204/3-27 by 3's, 30-35, 41-49 odd, 59, 60

10/22  4.3  Curve Sketching from f ' and f ''
                 HW p.215-218/2, 4, 5, 7, 11-33 odd, 44-47, 51, 53, 61, 63
10/23  4.4  Optimization (using derivatives to find min/max)
                  HW p.226-229/1, 5-7, 12, 15-17, 19, 20-26 even, 27, 29, 31-34, 36
10/25  4.4  AP Problem Quiz, more Optimization
                  HW p.229-232/39-41, 45, 47, 48, 50, 58-61, 63
10/26  4.5  Linear Approximation (using a different book)
                  HW handout/1-12 18-20, 24, 25

10/29  Hurricane - no school
10/30  Hurricane damage - no school
11/01  4.5  Using the Approximation
                  HW handout/21-23, 26, 27  and book p.244-245/46, 48, 50, 51, 53-56, 66, 71
11/02  8.2  L'Hopital's Rule (using derivatives to find limits)
                  HW p.450-452/13-47 odd, 53, 55, 58, 68, 70-72

11/05  4.6  Related Rates (everything depends on t)
                  HW p.251-254/3-39 by 3's
11/06  Professional Development Day - no school
11/08  4.6  More Related Rates (because everything depends on t)
                  HW p.251-254/5, 7, 10, 17, 19, 20, 22, 26, 31, 32, 42-46
11/09  Review and extra problems (DRAFT of answer key)

11/12  Veterans' Day - no school
11/13  Chapter 4 Test