Applications of the Derivative (Ch 5)

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.

10/23  Post-Ch3 Test HW: download and do handout on Curve Analysis

10/26  5.1  Extreme Values of Functions

                 HW p.200-201/15-30 by 3's, 31-43 odd, 44, 51, 53, 55

10/27  5.2  Mean Value Theorem and Antiderivatives (proof of the MVT)

                 HW p.208-210/3-27 by 3's, 30-35, 41-49 odd, 60, 62, 63

10/28  5.3  Curve Sketching from f ' and f ''

                 HW p.220-222/2, 4, 5, 7, 11-33 odd, 43-47, 51, 59, 60

10/30  5.4  Optimization (using derivatives to find min/max) (end of Term 1)

                  HW p.231-234/1, 5-7, 12, 15-17, 19, 20-26 even, 27, 31-34, 36

11/02  5.4  More Optimization

                  HW p.234-237/39-41, 45, 47, 48, 50, 58-61, 63

11/03  5.5  AP Problem Quiz, Linear Approximation (using a different book)

                  HW handout/1-12 18-20, 24, 25

11/04  5.5  Using the Approximation

                  HW handout/21-23, 26, 27  and book p.248-250/37-41, 45-47, 51, 66, 69

11/06  9.2  L'Hopital's Rule (using derivatives to find limits)

                  HW p.458-460/13-47 odd, 53, 55, 58, 68, 70-72

11/09  5.6  Related Rates (everything depends on t)

                  HW p.257-260/3-39 by 3's

11/10  5.6  More Related Rates (because everything depends on t)

                  HW p.257-261/5, 7, 10, 17, 19, 20, 22, 26, 31, 32, 35, 42-46
11/11  Veterans' Day - no school

11/13  Review and extra problems (links: review, its answer key, a practice test, that answer key)

11/16  Chapter 5 Test