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

The Derivative, 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
10/05  Implicit Differentiation (3.7)
           HW p.162-164/3-42 by 3's, 43, 45, 48-53, 56, 65

10/08  Columbus Day - no school
10/09  Derivatives of Inverse Trig Functions (3.8)
           HW p.170-171/3-27 by 3's, 28, 29, 31-34, 47-49
10/11  Derivatives of Exponential and Logarithmic Functions (3.9)
           HW p.178-180/3-42 by 3's, 49-51, 53, 64, 65
10/12  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.

10/15  Review and Extra Problems
10/16  Chapter 3 Test
           HW read 4.1 and do p.193-194/1-12