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Calculus

External

Calculus

MathematicsK-12 Education
Author
CK-12 Foundation
Publisher
LibreTexts
Source
LibreTexts
License
CK-12
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 50 sections
  1. 01: Limit
  2. 1.01: Concept of Limit
  3. 1.02: Evaluate Limits Using Graphs
  4. 1.03: Evaluate Limits Using Tables
  5. 1.04: Limits of Composite Functions
  6. 1.05: Evaluate Limits Using Substitution
  7. 1.06: Properties of Limit
  8. 02: Limit - Types of Limits
  9. 2.01: One-Sided Limit Types
  10. 2.02: Infinite Limit Type
  11. 2.03: Limits of Polynomial and Rational Functions
  12. 2.04: Basic Trigonometric Limits
  13. 2.05: Limits Involving Radical Functions
  14. 03: Limits - Continuity
  15. 3.01: Continuity of a Function
  16. 3.02: Continuity at a Point Continuity Test Types of Discontinuity
  17. 3.03: Intermediate Value Theorem Existence of Solution
  18. 3.04: Find Imaginary Solutions
  19. 04: Differentiation - Slope Models using Derivatives
  20. 4.01: Average and Instantaneous Rates of Change
  21. 4.02: Slope of Tangent Line
  22. 4.03: Tangent Line Approximation
  23. 05: Differentiation - Differentiation Rules and Formulas
  24. 5.01: Constant Identity and Power Rules
  25. 5.02: Sum and Difference Differentiation Rules
  26. 5.03: Products and Quotients Differentiation Rules
  27. 5.04: Derivatives of Trigonometric Functions
  28. 5.05: Chain Rule
  29. 5.06: Implicit Differentiation
  30. 06: Differentiation - Multi-Step Differentiation
  31. 6.01: Higher Order Derivatives
  32. 6.02: Related Rates
  33. 6.03: Derivatives of Exponential Functions
  34. 07: Differentiation - Increasing and Decreasing Values and Extrema
  35. 7.01: Derivatives with Mean Value Theorem and Rolle's Theorem
  36. 7.02: Absolute versus Local Extrema
  37. 7.03: First Derivative Test
  38. 7.04: Second Derivative Test
  39. 7.05: Concavity and Inflection
  40. 08: Differentiation - Derivative Applications
  41. 8.01: Absolute Extrema and Optimization
  42. 8.02: Newton's Method
  43. 8.03: Analyzing the Graphs of Functions
  44. 09: Integral - Area Computation
  45. 9.01: Area Under the Curve
  46. 9.02: Antiderivative
  47. 9.03: Area Sums
  48. 9.04: Probability and Probability Density Functions
  49. 9.05: Trapezoidal and Midpoint Approximations
  50. 9.06: Reimann Sums