Thursday, October 16, 2014

Applications of the Derivative (Chapter 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.

10/16  Post-Ch3 Test HW: download and do handout on Curve Analysis
10/17  4.1  Extreme Values of Functions
                 HW p.194-195/15-30 by 3's, 31-43 odd, 44, 51, 53, 55

10/20  4.2  Mean Value Theorem and Antiderivatives (proof of the MVT)
                 HW p.202-204/3-27 by 3's, 30-35, 41-49 odd, 59, 60
10/21  4.3  Curve Sketching from ' 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
10/24  4.4  More Optimization
                  HW p.229-232/39-41, 45, 47, 48, 50, 58-61, 63

10/27  4.5  AP Problem Quiz, Linear Approximation (using a different book)
                  HW handout/1-12 18-20, 24, 25
10/28  4.5  Using the Approximation
                  HW handout/21-23, 26, 27  and book p.244-245/46, 48, 50, 51, 53-56, 66, 71
10/30  8.2  L'Hopital's Rule (using derivatives to find limits)
                  HW p.450-452/13-47 odd, 53, 55, 58, 68, 70-72
10/31  4.6  Related Rates (everything depends on t(end of Term 1)
                  HW p.251-254/3-39 by 3's

11/03  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
11/04  Professional Development Day - no school
11/06  Review and extra problems (links: review, its answer key, a practice test, that answer key)
11/07  Chapter 4 Test

11/11  Veterans' Day - no school