At head of title: Salas, Hille, Etgen.

Revised by Garret J. Etgen.

Includes index.

Chapter 1. Precalculus Review. 1.1 What is Calculus? 1.2 Review of Elementary Mathematics. 1.3 Review of Inequalities. 1.4 Coordinate Plane; Analytic Geometry. 1.5 Functions. 1.6 The Elementary Functions. 1.7 Combinations of Functions. 1.8 A Note on Mathematical Proof; Mathematical Induction. Chapter 2. Limits and Continuity. 2.1 The Limit Process (An Intuitive Introduction). 2.2 Definition of Limit. 2.3 Some Limit Theorems. 2.4 Continuity. 2.5 The Pinching Theorem; Trigonometric Limits. 2.6 Two Basic Theorems. Chapter 3. The Derivative; The Process of Differentiation. 3.1 The Derivative. 3.2 Some Differentiation Formulas. 3.3 The d/dx Notation; Derivatives of Higher Order. 3.4 The Derivative as a Rate of Change. 3.5 The Chain Rule. 3.6 Differentiating the Trigonometric Functions. 3.7 Implicit Differentiation; Rational Powers. Chapter 4. The Mean-Value Theorem; Applications of the First and Second Derivatives. 4.1 The Mean-Value Theorem. 4.2 Increasing and Decreasing Functions. 4.3 Local Extreme Values. 4.4 Endpoint Extreme Values; Absolute Extreme Values. 4.5 Some Max-Min Problems. 4.6 Concavity and Points of Inflection. 4.7 Vertical and Horizontal Asymptotes; Vertical Tangents and Cusps. 4.8 Some Curve Sketching. 4.9 Velocity and Acceleration; Speed. 4.10 Related Rates of Change Per Unit Time. 4.11 Differentials. 4.12 Newton-Raphson Approximations. Chapter 5. Integration. 5.1 An Area Problem; A Speed-Distance Problem. 5.2 The Definite Integral of a Continuous Function. 5.3 The Function f(x) = Integral from a to x of f(t) dt. 5.4 The Fundamental Theorem of Integral Calculus. 5.5 Some Area Problems. 5.6 Indefinite I

For ten editions, readers have turned to Salas to learn the difficult concepts of calculus without sacrificing rigor. The book consistently provides clear calculus content to help them master these concepts and understand its relevance to the real world. Throughout the pages, it offers a perfect balance of theory and applications to elevate their mathematical insights. Readers will also find that the book emphasizes both problem-solving skills and real-world applications.