When you finish this lesson, you will complete the Essay Questions and Discussion requirement below.
Then, take the MyMathLab Sessions 8 and 9 Practice Quiz and Unit Quiz located at "Tests Assigned by My Instructor". If you are at MyMathLab (CourseCompass), then close this window. If you are not at MyMathLab, then go to coursecompass.com.
Click on the (Chapter Contents) button to find the quizzes.
At the end of this session you will be able to
1. In your textbook, review Theorem 7 on page 105 and Example 5 (a) on page 106.
2. In your textbook, review the following limit rules on page 84: Sum Rule, Difference Rule, Product Rule, Quotient Rule.
3. On pages 53 and 54 of the textbook, review the trigonometric identities and learn them if you have forgotten them.
4. In your textbook, review the Definition of the Derivative Function on pages 147 and 148.
5. In your textbook, study Section 3.4 from the bottom of page 183 through page 184, practicing Example 1 on a separate sheet of paper without looking at the solution in the textbook. Then compare with the textbook solution to insure you understand.
6. If you have not done it, now study the notes on THE DERIVATIVE OF THE SINE FUNCTION in the Session 9 notes. Make sure that you know how to differentiate the sine function by memory.
At the end of this session you will be able to
1. In your textbook, review Example 5 (a) on page 106.
2. In your textbook, review the following limit rules on page 84: Sum Rule, Difference Rule, Product Rule, Quotient Rule.
3. On pages 53 and 54 of the textbook, review the trigonometric identities and learn them if you have forgotten them.
4. In your textbook, review the Definition of the Derivative Function on page 147 and 148.
5. In your textbook, review the derivative rules for a constant, a sum, a difference, a product, a quotient, and power functions in Sections 3.2, pages 159 through 165.
6. In your textbook, study Section 3.4, from the bottom of page 181 through page 185, practicing Example 2 on a separate sheet of paper without looking at the solution in the textbook. Then compare with the textbook solution to insure you understand.
7. If you have not done it, now study the notes on THE DERIVATIVE OF THE COSINE FUNCTION in the Session 9 notes. Make sure that you know how to differentiate the cosine function by memory.
8. On pages 188 - 189 of your textbook, practice 1, 11, 17, 26 (a), 27, 31,
At the end of this session you will be able to
1. In your textbook, review velocity on page 172 and acceleration on page 175.
2. In your textbook, study Section 3.4 from the top of page 186 through Example 4 on page 186. This will require you slowing down to study carefully and understand everything.
3. If you have not done it, now study the notes on THE SIMPLE HARMONIC MOTION in the Session 9 notes.
4. On page 189 of your textbook, practice number 45.
At the end of this session you will be able to
1. In your textbook, review Section 3.2 "Quotients Rule" from the middle of page 165 through the top of page 166.
2. In your textbook, study Section 3.4, from the bottom of page 186 through 187, practicing Examples 5 and 6 on a separate sheet of paper without looking at the solution in the textbook. Then compare with the textbook solution to insure you understand.
3. If you have not done it, now study the notes on THE DERIVATIVE OF OTHER TRIGONOMETRIC FUNCTIONS in the Session 9 notes. Make sure that you know how to differentiate all trigonometric function by memory.
4. If you still need a help with derivatives of trigonometric functions and if you are at MyMathLab, then close this window and click on "3.4 The Derivatives of Trigonometric Functions". The video lecture give a nice overview of the derivative as a rate of change. If you are not at MyMathLab.com (CourseCompass), go to login MyMathLab.com and click on "Chapter Contents" in the left margin. Then click on " Unit II: Sessions 6, 7, 8, 9, 10, and 11: Chapter 3: Differentiation" and then on "3.4 The Derivatives of Trigonometric Functions".
5. On pages 188 - 189, practice 3 (the second term with the radical can only be done with the definition of the derivative), 5 (multiply first and simplify), 7, 9 (use identities so that you do not have fractions), 13 (notice the different variables), 15, 19, 21 (use identities so that you do not have fractions), 25 (a), 29, 33, 35, and 37.
ESSAY QUESTIONS
1. Essay Requirement One
You are to complete one of the derivations in number 44 on page 185 of your textbook.
To answer this requirement, you are to create a paragraph as a word processing document titled "Other trig / your name" and save it as an Rich Text Format (RTF). Or you can write out your answer on a sheet of paper, scan it, and save as a JPEG document. Submit your document to the instructor's Digital Drop Box.
If you are at MyMathLab (CourseCompass), then close this window. If you are not at MyMathLab, then go to coursecompass.com. Then click on the (Tools) button at the left and then click on the Digital Drop Box.
2. Essay Requirement Two
We have learned several applications, that is uses, for the derivative. You are to create a list of all applications, that we have had, as a word processing document titled "Derivative applications / your name" and save it as an Rich Text Format (RTF). Submit your document to the instructor's Digital Drop Box. At MyMathLab click on the (Tools) button at the left and then click on the Digital Drop Box.
DISCUSSION BOARD POSTING
If you are at MyMathLab (CourseCompass), then close this window. If you are not at MyMathLab, then go to coursecompass.com.
Click on the (Communications) button at the left, click on the Groups link, click the underlined group, click on Group Discussion Board, and then click on the "Solutions" discussion forum. Click on the "Trig" thread and post your solution to one of the problems listed below. Select a problem another student has not yet answered. In your posting, give a complete solution and/ or explanation of how you obtained your answer. In the subject line of your posting, give the page and problem number.
You are expected to locate errors in any of the other postings. If you are the first to see the error, then you are to help your classmate correct his/her posting. Class participation and helping others is part of this course. Therefore, you who consistently are quick to help your classmates correct errors will receive extra credit for class participation.
On page 188 of your textbook: Numbers 2, 4, 6 (multiply first and simplify), 8, 10, 12, 14, 16, 18, 20, 22, 25 (b), 26 (b), 28, 30, 32, 34, 36, 38, and 46.