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

Ch 4 - The Derivative, part 2

We finish up our study of finding derivatives by adding one more general derivative rule and taking the derivatives of inverses, exponential and logarithmic functions and functions for which we cannot solve for y.  Homework in red needs editing.

10/06  Post test homework: read 4.1, do p.160/1-27 odd

10/07  4.1  Chain Rule

           HW p.160-163/30-39 by 3's, 53-56, 58, 59, 61, 62, 67-69, 76-79
10/09  Professional Development Day - no school

10/12  Columbus Day - no school

10/13  4.2  Implicit Differentiation

           HW p.170-172/3-42 by 3's, 43, 46, 48-53, 56, 65

At this point, the PSAT day puts the two classes on a different schedule and G-Block will have an extra day of review before the test. Just follow along.

Day 3  4.3  Derivatives of Inverse Trig Functions

           HW p.178-179/3-27 by 3's, 28, 29, 31-34, 47-49

Day 4 4.4  Derivatives of Exponential and Logarithmic Functions, Prove Power Rule for all n

           HW p.186-188/3-42 by 3's, 49-51, 53, 64, 65

Day 5 4.5 Log Differentiation and Parametric Differentiation (4.1)

           HW p.187/43-48, 52, 54-56  and  p.161-162/41-49 odd, 50-52, 63, 66

           Here is a worksheet that puts the parametric/vector ideas together.

Day 6 Review and Extra Problems

10/22  Suggested Review Problems from the book: p.189-191/1-53 odd, 66, 67, 71, 73-75, 77, 78

10/23  Chapter 3 Test

           HW download and do handout on Curve Analysis