Calculus I: Differential Calculus

by Doli Bambhania, Rani Fischer, Lisa Mesh & Danny Tran

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Publisher
De Anza College
Subjects
Mathematics
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Program Page
  5. Table of Contents
  6. About the Book
  7. About the Team
  8. Licensing
  9. 1: Functions and Graphs
  10. 1.1: Review of Functions
  11. 1.1E: Exercises for Section 1.1
  12. 1.2: Basic Classes of Functions
  13. 1.2E: Exercises for Section 1.2
  14. 1.3: Trigonometric Functions
  15. 1.3E: Exercises for Section 1.3
  16. 1.4: Inverse Functions
  17. 1.4E: Exercises for Section 1.4
  18. 1.5: Exponential and Logarithmic Functions
  19. 1.5E: Exercises for Section 1.5
  20. 1.6: Chapter 1 Review Exercises
  21. 2: Limits
  22. 2.1: A Preview of Calculus
  23. 2.1E: Exercises for Section 2.1
  24. 2.2: The Limit of a Function
  25. 2.2E: Exercises for Section 2.2
  26. 2.3: The Limit Laws
  27. 2.3E: Exercises for Section 2.3
  28. 2.4: Continuity
  29. 2.4E: Exercises for Section 2.4
  30. 2.5: The Precise Definition of a Limit
  31. 2.5E: Exercises for Section 2.5
  32. 2.6: Chapter 2 Review Exercises
  33. 3: Derivatives
  34. 3.1: Defining the Derivative
  35. 3.1E: Exercises for Section 3.1
  36. 3.2: The Derivative as a Function
  37. 3.2E: Exercises for Section 3.2
  38. 3.3: Differentiation Rules
  39. 3.3E: Exercises for Section 3.3
  40. 3.4: Derivatives as Rates of Change
  41. 3.4E: Exercises for Section 3.4
  42. 3.5: Derivatives of Trigonometric Functions
  43. 3.5E: Exercises for Section 3.5
  44. 3.6: The Chain Rule
  45. 3.6E: Exercises for Section 3.6
  46. 3.7: Derivatives of Inverse Functions
  47. 3.7E: Exercises for Section 3.7
  48. 3.8: Implicit Differentiation
  49. 3.8E: Exercises for Section 3.8
  50. 3.9: Derivatives of Exponential and Logarithmic Functions
  51. 3.9E: Exercises for Section 3.9
  52. 3.10: Chapter 3 Review Exercises
  53. 4: Applications of Derivatives
  54. 4.1: Related Rates
  55. 4.1E: Exercises for Section 4.1
  56. 4.2: Linear Approximations and Differentials
  57. 4.2E: Exercises for Section 4.2
  58. 4.3: Maxima and Minima
  59. 4.3E: Exercises for Section 4.3
  60. 4.4: The Mean Value Theorem
  61. 4.4E: Exercises for Section 4.4
  62. 4.5: Derivatives and the Shape of a Graph
  63. 4.5E: Exercises for Section 4.5
  64. 4.6: Limits at Infinity and Asymptotes
  65. 4.6E: Exercises for Section 4.6
  66. 4.7: L’Hôpital’s Rule
  67. 4.7E: Exercises for Section 4.7
  68. 4.8: Applied Optimization Problems
  69. 4.8E: Exercises for Section 4.8
  70. 4.9: Newton’s Method
  71. 4.9E: Exercises for Section 4.9
  72. 4.10: Antiderivatives
  73. 4.10E: Exercises for Section 4.10
  74. 4.11: Chapter 4 Review Exercises
  75. 5: Differential Calculus with Parametric Curves
  76. 5.1: Parametric Equations
  77. 5.1E: Exercises for Section 5.1
  78. 5.2: Differential Calculus of Parametric Curves
  79. 5.2E: Exercises for Section 5.2
  80. 5.3: Chapter 5 Review Exercises
  81. 6: Appendices
  82. 6.1: A- Table of Derivatives
  83. Back Matter
  84. Index
  85. Glossary
  86. Detailed Licensing
  87. Detailed Licensing