Calculus & Its Applications, 14th edition

For one- or two-semester courses in Calculus for students majoring in business, social sciences, and life sciences.

Intuition before Formality

Calculus & Its Applications builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits, and they introduce the definite integral intuitively via the notion of net change before they discuss Riemann sums. The strategic organization of topics makes it easy to adjust the level of theoretical material covered. The significant applications introduced early in the course serve to motivate students and make the mathematics more accessible. Another unique aspect of the text is its intuitive use of differential equations to model a variety of phenomena in Chapter 5, which addresses applications of exponential and logarithmic functions.

Time-tested, comprehensive exercise sets are flexible enough to align with each instructor’s needs, and new exercises and resources in MyLab™ Math help develop not only skills, but also conceptual understanding, visualization, and applications. The 14th Edition features updated exercises, applications, and technology coverage, presenting calculus in an intuitive yet intellectually satisfying way.

Also available with MyLab Math

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. In the new edition, MyLab Math has expanded to include a suite of new videos, Interactive Figures, exercises that require step-by-step solutions, conceptual questions, calculator support, and more.

Students, if interested in purchasing this title with MyLab Math, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

• The student-oriented presentation enables them to study and learn independently, while showing them how the concepts apply to their future careers.
• ENHANCED! In the 14th edition, the author revised examples to more closely align with exercises sets.
• UPDATED! Relevant and varied applications contain real data and provide a realistic look at how calculus applies to other disciplines and everyday life. Whenever possible, applications are used to motivate the mathematics. The variety of applications is evident in the Index of Applications.
• EXPANDED! Time-tested exercise sets give instructors flexibility when building assignments, with exercises sorted by level and exercises that encourage students to use technology to solve problems. In the 14th Edition, 225 new exercises and 30 worked examples are added, bringing the total to 4,200 exercises and 520 examples.
• Just-in-time support throughout the chapters helps students of all skill levels study more efficiently.
• Prerequisite Skills Diagnostic Test within the text helps students gauge their level of readiness for this course. To complement that, Chapter 0 covers prerequisite content that can be covered all at once, or as discrete topics interspersed throughout the course, for students who need it.
• 350 worked-out examples provide support for students as they work exercises and learn the content. NEW! “Help text” within examples (shown in blue type) helps students understand key algebraic and numerical transitions.
• NEW! “For Review”side margin features remind students of a concept that is needed and direct them back to the section in which it was covered earlier in the text.
• “Now Try” Exercises appear after select examples, mirroring how an instructor might stop in class to ask students to try a problem, allowing them to immediately apply their understanding.
• Check Your Understanding problems appear at the end of each section to prepare students for the exercise sets, encouraging them to reflect on what they’ve learned before applying it further.
• End-of-Chapter study aids help students recall key ideas and focus on the relevance of these concepts. Fundamental Concept Check Exercises and Chapter Review Exercises prepare students for potential exam questions.
• UPDATED! Integrating Technology features within sections allow students to incorporate technology into the learning process, including graphing calculators. In the 14th Edition, graphing calculator screens have been updated to the TI-84 Plus CE format and are now in color.

Also available with MyLab Math

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

• Robust exercise sets and resources in MyLab Math help develop skills, conceptual understanding, visualization, and applications.
• A wide range of exercise types, each with immediate feedback—over 3,300 assignable exercises for this text regenerate algorithmically to give students unlimited opportunity for practice and mastery. MyLab Math provides helpful feedback when students enter incorrect answers and includes optional learning aids including Help Me Solve This, View an Example, videos, and an eText.
• NEW! Setup & Solve exercises require students to first describe how they will set up and approach the

• More intuitive organization and explanation within examples makes properties and theorems easier to follow and recall.
• 225 new exercises and 30 worked examples have been added, bringing the total to 4,200 exercises and 520 examples.
• “Help text” within examples (shown in blue type) helps students understand key algebraic and numerical transitions.
• “For Review”side margin features remind students of a concept that is needed and direct them back to the section in which it was covered earlier in the text.
• Graphing calculator screens have been updated to the TI-84 Plus CE format and are now in color.
• All 3-dimensional figures in the text have been re-rendered using the latest software. The authors took full advantage of the capabilities of the rendering software to make the figures more effective pedagogically.
• In cases where properties or theorems that were formerly numbered (e.g., Property 4) have a commonly used name (e.g., Power of a Quotient Rule), the authors used the name rather than the number. This allows for more intuitive explanations within examples and is better aligned to how concepts are explained in class.

Content Updates

Chapter 0

• Added an example and exercises in 0.1 to illustrate the concept of piecewise-defined functions.
• Rewrote and simplified the introduction to 0.5 Exponents and Power Functions to make it more intuitive and easier to reference. Additionally, we added several examples to illustrate the rules of exponents.
• Modified the discussion of compound interest to make it more suitable for the applications in later chapters.
• Added Examples 8 and 9 in 0.5 to illustrate the role of multiple factors in compound interest and investment accounts.
• Added Example 7 in 0.6 to illustrate various concepts from economics.
• Added four new exercises (45-48) in 0.6 to illustrate variations on the standard topic of compound interest.
• Modified over thirty exercises in the chapter.

Chapter 1

• Removed some of the proofs related to review material to simplify the presentation in 1.1. 
• Added four new exercises (5-8) in 1.2 to illustrate the geometric meaning of the slope of a graph as the slope of the tangent line. Additionally, we modified two other exercises requiring reading and interpreting slopes of graphs.
• Simplified the discussion of limits in Examples 2 and 4 in 1.4.
• Included a discussion and a new Example 4 in 1.8 to illustrate the concepts of displacement and velocity.

Chapters 2 and 3

• Modified the Technology Exercises in 2.1 to make them more straightforward for students to answer.
• Improved and simplified the solutions within Example 4 in 2.4.
• Removed Example 4 in 2.6 which required more symbolic manipulation and use of constants than students would encounter in the exercises.
• Rewrote five examples in the Summary section of Chapter 2.
• Added ten new exercises in Chapter 3.

Chapter 4

• Revised Example 2 in 4.2 to better prepare students for the variety of exercises within the homework.
• Moved the material on the properties and graphs of exponential functions from 4.3 to 4.2.
• Replaced Examples 1, 2, and 3 from 4.3 with new examples that better build on the properties of derivatives introduced earlier. Example 3 introduces a new concept of combined returns to illustrate applications of linear combinations of exponential functions.
• Moved the material on differential equations in 4.3 to Chapter 5.
• Introduced forty new exercises in 4.3, including one on i