University Calculus - Early Transcendentals - Fourth Edition In si Units
- 1A. ed
- UNITED STATES PEARSON 2020
- 956 PP 27.5 cm
1. Functions . -- 1.1 Functions And Their Graphs . -- 1.2 Combining Functions; Shifting And Scaling Graphs . -- 1.3 Trigonometric Functions . -- 1.4 Graphing With Software . -- 1.5 Exponential Functions . -- 1.6 Inverse Functions And Logarithms . -- 2. Limits And Continuity . -- 2.1 Rates Of Change And Tangent Lines To Curves . -- 2.2 Limit Of a Function And Limit Laws . -- 2.3 The Precise Definition Of a Limit . -- 2.4 One-Sided Limits . -- 2.5 Continuity . -- 2.6 Limits Involving Infinity; Asymptotes Of Graphs . -- Questions To Guide Your Review . -- Practice Exercises . -- Additional And Advanced Exercises . -- 3. Derivatives . -- 3.1 Tangent Lines And The Derivative At a Point . -- 3.2 The Derivative As a Function . -- 3.3 Differentiation Rules . -- 3.4 The Derivative As a Rate Of Change . -- 3.5 Derivatives Of Trigonometric Functions . -- 3.6 The Chain Rule . -- 3.7 Implicit Differentiation . -- 3.8 Derivatives Of Inverse Functions And Logarithms . -- 3.9 Inverse Trigonometric Functions . -- 3.10 Related Rates . -- 3.11 Linearization And Differentials . -- Questions To Guide Your Review . -- Practice Exercises . -- Additional And Advanced Exercises . -- 4. Applications Of Derivatives . -- 4.1 Extreme Values Of Functions On Closed Intervals . -- 4.2 The Mean Value Theorem . -- 4.3 Monotonic Functions And The First Derivative Test . -- 4.4 Concavity And Curve Sketching . -- 4.5 Indeterminate Forms And L’Hôpital’S Rule . -- 4.6 Applied Optimization . -- 4.7 Newton’S Method . -- 4.8 Antiderivatives . -- Questions To Guide Your Review . -- Practice Exercises . -- Additional And Advanced Exercises . -- 5. Integrals . -- 5.1 Area And Estimating With Finite Sums . -- 5.2 Sigma Notation And Limits Of Finite Sums . -- 5.3 The Definite Integral . -- 5.4 The Fundamental Theorem Of Calculus . -- 5.5 Indefinite Integrals And The Substitution Method . -- 5.6 Definite Integral Substitutions And The Area Between Curves . -- Questions To Guide Your Review . -- Practice Exercises . -- Additional And Advanced Exercises . -- 6. Applications Of Definite Integrals . -- 6.1 Volumes Using Cross-Sections . -- 6.2 Volumes Using Cylindrical Shells . -- 6.3 Arc Length . -- 6.4 Areas Of Surfaces Of Revolution . -- 6.5 Work . -- 6.6 Moments And Centers Of Mass . -- Questions To Guide Your Review . -- Practice Exercises . -- Additional And Advanced Exercises . -- 7. Integrals And Transcendental Functions . -- 7.1 The Logarithm Defined As An Integral . -- 7.2 Exponential Change And Separable Differential Equations . -- 7.3 Hyperbolic Functions . -- Questions To Guide Your Review . -- Practice Exercises . -- Additional And Advanced Exercises . -- 8. Techniques Of Integration . -- 8.1 Integration By Parts . -- 8.2 Trigonometric Integrals . -- 8.3 Trigonometric Substitutions . -- 8.4 Integration Of Rational Functions By Partial Fractions