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Calculus I

Nguồn ngoài

Calculus I

Mathematics
Tác giả
Kelsey Casteel
Nhà xuất bản
Reedley College
Nguồn
LibreTexts
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 74 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. 02: Limits
  13. 2.01: A Preview of Calculus
  14. 2.1E: Exercises for Section 2.1
  15. 2.02: The Limit of a Function
  16. 2.2E: Exercises for Section 2.2
  17. 2.03: The Limit Laws
  18. 2.3E: Exercises for Section 2.3
  19. 2.04: Continuity
  20. 2.4E: Exercises for Section 2.4
  21. 03: Derivatives
  22. 3.01: Defining the Derivative
  23. 3.1E: Exercises for Section 3.1
  24. 3.02: The Derivative as a Function
  25. 3.2E: Exercises for Section 3.2
  26. 3.03: Differentiation Rules
  27. 3.3E: Exercises for Section 3.3
  28. 3.04: Derivatives as Rates of Change
  29. 3.4E: Exercises for Section 3.4
  30. 3.05: Derivatives of Trigonometric Functions
  31. 3.5E: Exercises for Section 3.5
  32. 3.06: The Chain Rule
  33. 3.6E: Exercises for Section 3.6
  34. 3.07: Derivatives of Inverse Functions
  35. 3.7E: Exercises for Section 3.7
  36. 3.08: Implicit Differentiation
  37. 3.8E: Exercises for Section 3.8
  38. 3.09: Derivatives of Exponential and Logarithmic Functions
  39. 3.9E: Exercises for Section 3.9
  40. 04: Applications of Derivatives
  41. 4.01: Related Rates
  42. 4.1E: Exercises for Section 4.1
  43. 4.02: Maxima and Minima
  44. 4.2E: Exercises for Section 4.2
  45. 4.03: The Mean Value Theorem
  46. 4.3E: Exercises for Section 4.3
  47. 4.04: Derivatives and the Shape of a Graph
  48. 4.4E: Exercises for Section 4.4
  49. 4.05: Limits at Infinity and Asymptotes
  50. 4.5E: Exercises for Section 4.5
  51. 4.06: Applied Optimization Problems
  52. 4.6E: Exercises for Section 4.6
  53. 4.07: LHopitals Rule
  54. 4.7E: Exercises for Section 4.7
  55. 4.08: Antiderivatives
  56. 4.8E: Exercises for Section 4.8
  57. 05: Integration
  58. 5.01: Approximating Areas
  59. 5.1E: Exercises for Section 5.1
  60. 5.02: The Definite Integral
  61. 5.2E: Exercises for Section 5.2
  62. 5.03: The Fundamental Theorem of Calculus
  63. 5.3E: Exercises for Section 5.3
  64. 5.04: Integration Formulas and the Net Change Theorem
  65. 5.4E: Exercises for Section 5.4
  66. 5.05: Substitution
  67. 5.5E: Exercises for Section 5.5
  68. 5.06: Integrals Involving Exponential and Logarithmic Functions
  69. 5.6E: Exercises for Section 5.6
  70. 5.07: Integrals Resulting in Inverse Trigonometric Functions
  71. 5.7E: Exercises for Section 5.7
  72. 06: Appendices
  73. 6.01: A- Table of Derivatives
  74. 6.02: B- Table of Integrals