University Calculus

This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States. For 3-semester or 4-quarter­ courses covering single­ variable and multivariable calculus, taken by students of mathematics.

Description based upon print version of record.

Cover -- MyLab Math forUniversity Calculus, 4e in SI Units -- Tilte Page -- Copyright Page -- Contents -- Preface -- 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

Additiona…