Reach every student with MyLab Math with Pearson eText MyLab® empowers you to reach every student. This flexible digital platform combines unrivaled content, online assessments, and customizable features so you can personalize learning and improve results, one student at a time. Learn more about MyLab Math. Pearson eText is an easy-to-use digital textbook available within MyLab that lets you read, highlight, and take notes all in one place. If you''re not using MyLab, students can purchase Pearson eText on their own or you can assign it as a course to schedule readings, view student usage analytics, and share your own notes with students. Learn more about Pearson eText. About the book Connects the math to career and everyday life Enhanced Assignments are section-level assignments that (1) address gaps in prerequisite skills with personalized prerequisite review, (2) help keep skills fresh with spaced practice of key finite math concepts, and (3) provide opportunities to work exercises without learning aids so that students can check their understanding. They are assignable and editable.
A new Multipurpose Interactive Matrix Tool is available in the Video & Resource library for students, to help with matrix row operations in appropriate chapters: The tool can perform the row operations described in the text as well as pivot on any element. It can also assist with doing matrix operations by hand, by helping check for errors. More "help text" annotations have been added to examples. These notes, set in small blue type, appear next to the steps within worked-out examples and provide an additional aid for students with weaker algebra skills. Approximately 12 percent of the exercises are new or updated, improving data and applications. This includes nearly 300 new exercises written for the 12th Edition. New Concept Check exercises added to the beginning of the exercises in every section ensure that students understand basic concepts before proceeding. All answers in the Annotated Instructor''s Edition are now located in one place at the back, saving time and page flipping to find answers.
For instructors'' convenience, all of the answers are also available for download as PDF in MyLab Math. Content updates Chapter R. Algebra Reference Rearranged material on multiplying polynomials for greater clarity. Expanded coverage of factoring. Revised or expanded several examples. Chapter 1. Linear Functions Expanded coverage of different forms of the equations of lines. Updated three examples and the Extended Application with new data.
Chapter 2. Nonlinear Functions Examples have been updated with new data. Additional parts have been added to some examples. Chapter 3. The Derivative Revised introductory limit examples, illustrating how to find limits with graphs, tables, and algebra. Added more details to examples of finding limits at infinity. Added labels to the rules for limits for easier reference for the students. Revised Tech Note for finding limits, emphasizing selection of viewing window to accurately determine the behavior of a function.
Added discussion and corresponding exercises about removable and non-removable discontinuities and the process of determining continuity on an interval. Revised solutions for continuity examples to include more detail, especially with piecewise functions. Revised section on graphical differentiation. Added an initial example with a simple function and provided a detailed solution for sketching the derivative from the graph of a function. Rearranged existing examples in increasing difficulty. Revised application example to be more student friendly. Added exercises that guide students step by step through the process of graphical differentiation. Added several interpretation questions throughout the exercises.
Chapter 4. Calculating the Derivative Revised solutions to many examples of finding the derivative to include more details of the process. Added discussion about the simplification of derivatives and presented alternate forms for writing the solution. Added guided questions to many exercises to give students the chance to interpret their results. Added examples and corresponding exercises throughout the chapter for determining the slope and equation of a tangent line. Revised chain rule examples and solutions to help students determine the composition of functions and to apply the chain rule. Added definition and examples of the general power rule, a specific case of the chain rule which can applied many exercises. Added examples and corresponding exercises for finding the derivative of logarithms by first applying logarithm rules.
Chapter 5. Graphs and the Derivative Added examples with figures to illustrate the following concepts: A function can be increasing (or decreasing) on an interval even though the derivative is not positive (or negative) at every point in the interval; A relative extrema does not necessarily occur at every critical number; and A function does not necessarily have an inflection point at all values where f1x2 = 0. Revised example to introduce the concept of relative extrema, including a graph. Added more detail in solutions throughout the chapter. Revised the example on velocity and acceleration to illustrate how to determine when a vehicle is moving forward and backward, speeding up and slowing down, with the use of derivatives.