Below are the remaining assignments for Chapter 3. Homework #7 Due Monday, October 2 Section 3.3 #24,40, 57 Section 3.4 #2, 8, 10, 22 Homework #8 Due Wednesday, October 4 Section 3.5 #10, 14, 34, 52 Section 3.6 #14, 24 Homework #9, Due Wednesday, October 11 Section 3.7 #4, 6, 26, 34, 36, Find D_x^n x^n for n = 1,2,3,4. Guess a formula that works for general n. Section 3.8 #8, 14, 24, 42 Homework #10, Due Friday, October 13 Section 3.9 #6, 14, 16 Section 3.10 #12, 18, 28 Homework F, Due Section 3.3 #48 (Hint: fgh = f(gh).) Homework G, Due Monday, October 9 Section 3.5 #44 Homework H, Due Tuesday, October 10 Section 3.7 #44 Homework I, Due Thursday, October 12 Section 3.9, #10 What you need to know for Exam 2, from section 3.1-3.5. 1. The derivative, the integral and the limit are the three most important gadgets in calculus. We studied the limits for the previous exam. Integrals are not until after the next exam. Which definition do you think you will need to know for exam 2? 2. You should be able to construct the correct statement of the product, chain, quotient and sum rules. I would like you to understand how to prove all four of these rules. However, I have only asked you to learn the proof of one of these rules. Which one is it? When you are studying the proof, you should not only study the proof of the stated result, but you should also make sure that you understand the results that are used in the proof. 3. Know the derivatives of sin, cos, tan and sec. Understand how to use the quotient rule and the derivatives of sin and cos to derive the derivatives of the remaining functions. 4. Don't think that this course is "all theory". In addition to the above, you should be able to differentiate quickly and efficiently. 5. Know the interpretation of the derivative as a rate of change, velocity or slope of the tangent line. We will look at more applications of this in the last few sections of Chapter 3.