The assignment due November 23, 1998 covers sections:
3.8, 4.1, 4.7
| CHAPTER 1 - LIMITS AND RATES OF CHANGE | ||
| Section | Title | Problems |
|---|---|---|
| 1.1 | The Tangent and Velocity Problems | 1, 5, 8 |
| 1.2 | The Limit of a Function | 1, 5, 7, 8, 9, 15-19, 22, 23 |
| 1.3 | Calculating limits using the Limit Laws | 1, 5, 9, 13-16, 22, 24, 29, 34, 38, 41, 45, 49, 57, 59, 62, 63, 65, 70, 71, 74, 75 |
| 1.5 | Continuity | 1, 4, 5, 7, 8, 10, 12, 14, 18, 21, 23, 28, 39, 43, 45, 47, 53, 57 |
| 1.6 | Limits at Infinity; Horizontal Asymptotes | 1, 3, 6, 7, 10, 11, 13, 14, 15, 18, 20, 23, 25, 29, 30, 39, 43, 44, 45, 46 |
| 1.7 | Tangents, Velocities, and Other Rates of Change | 4, 7, 12, 15, 19, 20 |
| CHAPTER 2 - DERIVATIVES | ||
| Section | Title | Problems |
| 2.1 | Derivatives | 2, 6, 10, 11, 13, 15, 18, 20, 22, 25, 29, 34, 35, 37, 40-43, 49, 52, 55, 57 |
| 2.2 | Differentiation Formulas | 2, 3, 5-8, 10, 11, 14, 15, 17, 18, 20, 21, 23, 25, 27, 29, 31, 34, 35, 37, 39, 45, 46, 48, 55, 60, 63, 65, 71, 72 |
| 2.3 | Rates of Change in the Natural and Social Sciences | 2, 5, 8, 11, 13, 16, 23, 26a |
| App. D | Appendix D: Trigonometry | 1, 6, 7, 12, 13, 19, 25, 28, 29, 33, 37, 40a, 45, 46, 51, 54, 59, 63, 69, 71, 75, 79, 82 |
| 2.4 | Derivatives of Trigonometric Functions | 2, 5, 6, 9, 13, 18, 25, 27, 30, 33, 39, 44, 46, 49, 53 |
| 2.5 | The Chain Rule | 1, 7, 10, 13, 16, 21, 26, 29, 34, 38, 40, 43, 48, 50, 57, 60, 61, 64, 67, 72, 75, 78 |
| 2.6 | Implicit Differentiation | 1, 5, 10, 13, 18, 19, 23, 24, 31, 35, 38, 43, 45 |
| 2.7 | Higher Derviatives | 1, 3, 5, 12, 13, 17, 21, 23, 30, 34, 37, 39, 42, 43, 47, 52 |
| 2.8 | Related Rates | 2, 3, 5, 7, 10, 14, 17, 20, 21, 22, 23, 31 |
| 2.9 | Linear and Quadratic Approximation | 31, 32, 36, 39, 40, 41, 43, 46, 47, 54 |
| 2.10 | Newton's Method | 3, 8, 9, 12, 13, 16, 17, 27, 29 |
| CHAPTER 3 - INVERSE FUNCTIONS | ||
| Section | Title | Problems |
| 3.1 | Exponential Functions and Their Derivatives | 5, 10, 15-18, 21, 28, 31, 34, 39, 41, 43, 46, 49, 53 |
| 3.2 | Inverse Functions | 1-6, 9, 10, 15, 18, 20, 23, 26, 29, 33 |
| 3.3 | Logarithmic Functions | 3, 6, 7, 11, 14, 15, 17, 20, 27, 30, 33, 37, 40, 43, 46, 51, 57, 60, 65, 66, 68, 69, 73, 77, 80, 83, 87 |
| 3.4 | Derivatives of Logarithmic Functions | 1, 4, 7, 10, 11, 16, 21, 26, 31, 36-42, 45, 47, 49, 52, 55, 57, 60, 63, 67 |
| 3.5 | Exponential Growth and Decay | 2, 5, 7, 8, 11, 12, 14, 17, 21, 22 |
| 3.6 | Inverse Trigonometric Functions | 2, 6, 13-17, 21, 25, 27, 28, 30, 35, 36, 40, 45, 48, 51, 54, 56, 61, 64, 66, 70 |
| 3.8 | Indeterminate Forms and l'Hospital's Rule | 2, 4, 8, 13, 14, 19, 22, 25, 30, 34, 36, 38, 41, 44, 48, 52, 55, 58, 61, 65, 73, 76-78 |
| CHAPTER 4 - THE MVT AND CURVE SKETCHING | ||
| Section | Title | Problems |
| 4.1 | Maximum and Minimum Values | 1-3, 5, 8-10, 17, 20, 21, 26, 30, 31, 34, 36, 37, 40, 42, 46, 50, 54, 56, 66, 68, 69, 72, 73 |
| 4.2 | The Mean Value Theorem | 4, 6, 7, 12, 14, 16, 18, 20, 22, 29, 30, 34, 36, 37 |
| 4.3 | Monotonic Functions and the First Derivative Test | 1, 4, 8, 12, 14, 20, 22, 24, 26, 28, 30, 32, 35, 37, 42, 44, 46, 48, 55 |
| 4.4 | Concavity and Points of Inflection | 1, 2, 4, 8, 12, 14, 16, 21, 26, 28, 30, 32, 34, 38, 41, 47 |
| 4.5 | Curve Sketching | 2, 6, 7, 10, 11, 15, 24, 25, 26, 28, 29, 32, 35, 39, 41, 44, 46, 50, 53, 55, 59 |
| 4.7 | Applied Maximum and Minimum Problems | 1, 8-11, 14, 15, 22, 23, 26, 27, 29, 30, 36, 38, 41, 45, 48, 50, 51 |