
Nguồn ngoài
Interactive Calculus Q1
The text guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them.
- Tác giả
- Larry Green
- Nhà xuất bản
- Lake_Tahoe_Community_College
- Nguồn
- LibreTexts
- Giấy phép
- CC BY-NC-SA
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 72 mục
- 01: Functions and Graphs
- 1.01: Prelude to Functions and Graphs
- 1.02: Review of Functions
- 1.2E: Exercises for Section 1.1
- 1.03: Basic Classes of Functions
- 1.3E: Exercises for Section 1.2
- 1.04: Trigonometric Functions
- 1.4E: Exercises for Section 1.3
- 1.05: Inverse Functions
- 1.5E: Exercises for Section 1.4
- 1.06: Exponential and Logarithmic Functions
- 1.6E: Exercises for Section 1.5
- 1.07: Chapter 1 Review Exercises
- 02: Limits
- 2.01: Prelude to Limits
- 2.02: A Preview of Calculus
- 2.2E: Exercises for Section 2.1
- 2.03: The Limit of a Function
- 2.3E: Exercises for Section 2.2
- 2.04: The Limit Laws
- 2.4E: Exercises for Section 2.3
- 2.05: Continuity
- 2.5E: Exercises for Section 2.4
- 2.06: The Precise Definition of a Limit
- 2.6E: Exercises for Section 2.5
- 2.07: Chapter 2 Review Exercises
- 03: Derivatives
- 3.01: Prelude to Derivatives
- 3.02: Defining the Derivative
- 3.2E: Exercises for Section 3.1
- 3.03: The Derivative as a Function
- 3.3E: Exercises for Section 3.2
- 3.04: Differentiation Rules
- 3.4E: Exercises for Section 3.3
- 3.05: Derivatives as Rates of Change
- 3.5E: Exercises for Section 3.4
- 3.06: Derivatives of Trigonometric Functions
- 3.6E: Exercises for Section 3.5
- 3.07: The Chain Rule
- 3.7E: Exercises for Section 3.6
- 3.08: Derivatives of Inverse Functions
- 3.8E: Exercises for Section 3.7
- 3.09: Implicit Differentiation
- 3.9E: Exercises for Section 3.8
- 3.10: Derivatives of Exponential and Logarithmic Functions
- 3.10E: Exercises for Section 3.9
- 3.11: Chapter 3 Review Exercises
- 04: Applications of Derivatives
- 4.01: Prelude to Applications of Derivatives
- 4.02: Related Rates
- 4.2E: Exercises for Section 4.1
- 4.03: Linear Approximations and Differentials
- 4.3E: Exercises for Section 4.2
- 4.04: Maxima and Minima
- 4.4E: Exercises for Section 4.3
- 4.05: The Mean Value Theorem
- 4.5E: Exercises for Section 4.4
- 4.06: Derivatives and the Shape of a Graph
- 4.6E: Exercises for Section 4.5
- 4.07: Limits at Infinity and Asymptotes
- 4.7E: Exercises for Section 4.6
- 4.08: Applied Optimization Problems
- 4.8E: Exercises for Section 4.7
- 4.09: LHopitals Rule
- 4.9E: Exercises for Section 4.8
- 4.10: Newtons Method
- 4.10E: Exercises for Section 4.9
- 4.11: Antiderivatives
- 4.11E: Exercises for Section 4.10
- 4.12: Chapter 4 Review Exercises
- 05: Appendices
- 5.01: A- Table of Derivatives