Differential calculus : a creativity development approach worktext /
Dennis B. Roble ; edited by Charita A. Luna, Laila S. Lomibao
- x, 160 pages : illustrations ; 23 cm
Includes bibliographical references
Chapter 1: Limits and Continuity -- Section 1.1 Limits of a Function -- Section 1.2 Limit of Theorems -- Section 1.3 Other Strategies for Evaluating Limits -- 1.4 One-Sided Limits -- Section 1.5 Infinite Limits -- Section 1.6 Limits at Infinity -- Section 1.7 Continuity of a Function -- Section 1.8 Limits of Trigonometric Functions -- Chapter 2: Differentiation -- Section 2.1 The Tangent Line and the Derivative -- Section 2.2 Theorems of Differentiation -- Section 2.3 Derivatives of Trigonometric Function -- Section 2.4 Higher Order of Derivatives -- Section 2.5 The Chain Rule for Derivatives -- Section 2.6 Derivatives of Natural Logarithmic Functions -- Section 2.7 Derivatives of Natural Exponential Functions -- Section 2.8 Implicit Differentiation -- Chapter 3: Application of Derivatives -- Section 3.1 Derivative as an Instantaneous Rates of Change -- Chapter 3.2 Related Rates -- Section 3.3 Curve Sketching -- Section 3.4 Optimizing Problems
Roble, D. B. (2020). Differential calculus: A creativity development approach worktext. Mindshapers Co., Inc.