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  4.1  Post-Test HW handout on Curve Analysis

10/18  4.1  Extreme Values of Functions

                 HW p.194-195/6-30 by 3's, 31-43 odd, 44, 51, 53, 55

10/21  4.2  Mean Value Theorem and Antiderivatives (proof of MVT)

                 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

10/28  4.5  Linear Approximation (using a different book)

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

10/29  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

11/01  4.6  Related Rates (everything depends on t)

                  HW p.251-254/3-39 by 3's

11/04  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

11/05  Review and extra problems (Answer Key)

11/06  Chapter 4 Test (practice test and solutions)

11/12  Veterans' Day - no school

11/21  Professional Development Day - no school

11/27  Half-Day before Thanksgiving  A  C  F   H

Derivatives, part 2

We finish up Chapter 3 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.

10/02  Post test (3.6) HW p.153/1-27 odd

10/04  More Chain Rule (3.6)

           HW p.153-155/30-48 by 3's, 53-55, 59, 61, 62, 67-69, 76-79

10/07  Implicit Differentiation (3.7)

           HW p.162-164/3-42 by 3's, 43, 45, 48-53, 56, 65

10/08  Derivatives of Inverse Trig Functions (3.8)

           HW p.170-171/3-27 by 3's, 28, 29, 31-34, 47-49

10/09  Derivatives of Exponential and Logarithmic Functions (3.9)

           HW p.178-180/3-42 by 3's, 49-51, 53, 64, 65

10/11  Log Differentiation (3.9) and Parametric Differentiation (3.6)

           HW p.179/43-48, 52, 54-56  and  p.153-155/41-49 odd, 50-52, 63, 66

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

10/14  Columbus Day - no school

10/15  Review and Extra Problems

10/16  Chapter 3 Test

           HW do handout on Curve Analysis