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Calculus 1

Nguồn ngoài

Calculus 1

This is the first course in the calculus sequence for American River College.

Mathematics
Tác giả
Lana Anishchenko
Nhà xuất bản
American River College
Nguồn
LibreTexts
Giấy phép
CC BY-SA
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 81 mục
  1. 01: Functions and Graphs
  2. 1.01: Review of Functions
  3. 1.1E: Exercises for Section 1.1
  4. 1.02: Basic Classes of Functions
  5. 1.2E: Exercises for Section 1.2
  6. 1.03: Trigonometric Functions
  7. 1.3E: Exercises for Section 1.3
  8. 1.04: Inverse Functions
  9. 1.4E: Exercises for Section 1.4
  10. 1.05: Exponential and Logarithmic Functions
  11. 1.5E: Exercises for Section 1.5
  12. 1.R: Chapter 1 Review Exercises
  13. 02: Limits
  14. 2.01: The Limit of a Function
  15. 2.1E: Exercises for Section 2.1
  16. 2.02: The Limit Laws
  17. 2.2E: Exercises for Section 2.2
  18. 2.03: Limits at Infinity and Asymptotes
  19. 2.3E: Exercises for Section 2.3
  20. 2.04: Continuity
  21. 2.4E: Exercises for Section 2.4
  22. 2.05: The Precise Definition of a Limit
  23. 2.5E: Exercises for Section 2.5
  24. 2.R: Chapter 2 Review Exercises
  25. 03: Derivatives
  26. 3.01: Defining the Derivative
  27. 3.1E: Exercises for Section 3.1
  28. 3.02: The Derivative as a Function
  29. 3.2E: Exercises for Section 3.2
  30. 3.03: Differentiation Rules
  31. 3.3E: Exercises for Section 3.3
  32. 3.04: Derivatives of Trigonometric Functions
  33. 3.4E: Exercises for Section 3.4
  34. 3.05: The Chain Rule
  35. 3.5E: Exercises for Section 3.5
  36. 3.06: Derivatives of Inverse Functions
  37. 3.6E: Exercises for Section 3.6
  38. 3.07: Implicit Differentiation
  39. 3.7E: Exercises for Section 3.7
  40. 3.08: Derivatives of Exponential and Logarithmic Functions and Logarithmic Differentiation
  41. 3.8E: Exercises for Section 3.8
  42. 3.09: Derivatives of the Hyperbolic Functions
  43. 3.9E: Exercises for Section 3.9
  44. 3.10: Derivatives as Rates of Change
  45. 3.10E: Exercises for Section 3.9
  46. 3.R: Chapter 3 Review Exercises
  47. 04: Applications of Derivatives
  48. 4.01: Related Rates
  49. 4.1E: Exercises for Section 4.1
  50. 4.02: Maxima and Minima
  51. 4.2E: Exercises for Section 4.2
  52. 4.03: The Mean Value Theorem
  53. 4.3E: Exercises for Section 4.3
  54. 4.04: Derivatives and the Shape of a Graph
  55. 4.4E: Exercises for Section 4.4
  56. 4.05: Applied Optimization Problems
  57. 4.5E: Exercises for Section 4.5
  58. 4.06: LHopitals Rule
  59. 4.6E: Exercises for Section 4.6
  60. 4.07: Linear Approximations and Differentials
  61. 4.7E: Exercises for Section 4.7
  62. 4.08: Newtons Method
  63. 4.8E: Exercises for Section 4.8
  64. 4.R: Chapter 4 Review Exercises
  65. 05: Integration
  66. 5.01: Antiderivatives and Indefinite Integrals
  67. 5.1.01: Exercises for Section 5.1
  68. 5.02: Rectangular Approximations and the Definite Integral
  69. 5.2E: Exercises for Section 5.2
  70. 5.03: Graphical Interpretation and Properties of the Definite Integral
  71. 5.3E: Exercises for Section 5.3
  72. 5.04: The Fundamental Theorem of Calculus
  73. 5.4E: Exercises for Section 5.4
  74. 5.05: Substitution
  75. 5.5E: Exercises for Section 5.5
  76. 5.06: The Net Change Theorem
  77. 5.6E: Exercises for Section 5.6
  78. 5.R: Chapter 5 Review Exercises
  79. 06: Appendices
  80. 6.01: Appendix A- Table of Derivatives
  81. 6.02: Appendix B- Table of Integrals