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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 organisation 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.   The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Calculus & Its Applications, Global Edition

• Inside Front Cover


• Title Page


• Copyright Page


• Contents


• Preface


• Acknowledgments


• Acknowledgments for the Global Edition


• Prerequisite Skills Diagnostic Test


• Introduction


• 0 Functions


• 0.1 Functions and Their Graphs


• 0.2 Some Important Functions


• 0.3 The Algebra of Functions


• 0.4 Zeros of Functions?The Quadratic Formula and Factoring


• 0.5 Exponents and Power Functions


• 0.6 Functions and Graphs in Applications


• Chapter Summary and Chapter Review Exercises


• 1 The Derivative


• 1.1 The Slope of a Straight Line


• 1.2 The Slope of a Curve at a Point


• 1.3 The Derivative and Limits


• 1.4 Limits and the Derivative


• 1.5 Differentiability and Continuity


• 1.6 Some Rules for Differentiation


• 1.7 More about Derivatives


• 1.8 The Derivative as a Rate of Change


• Chapter Summary and Chapter Review Exercises


• 2 Applications of the Derivative


• 2.1 Describing Graphs of Functions


• 2.2 The First- and Second-Derivative Rules


• 2.3 The First- and Second-Derivative Tests and Curve Sketching


• 2.4 Curve Sketching (Conclusion)


• 2.5 Optimization Problems


• 2.6 Further Optimization Problems


• 2.7 Applications of Derivatives to Business and Economics


• Chapter Summary and Chapter Review Exercises


• 3 Techniques of Differentiation


• 3.1 The Product and Quotient Rules


• 3.2 The Chain Rule


• *3.3 Implicit Differentiation and Related Rates


• Chapter Summary and Chapter Review Exercises


• 4 The Exponential and Natural Logarithm Functions


• 4.1 Exponential Functions


• 4.2 The Exponential Function ex


• 4.3 Differentiation of Exponential Functions