**Practice makes perfectâ€”and helps deepen your understanding of calculus**

*1001 Calculus Practice Problems For Dummies* takes you beyond the instruction and guidance offered in *Calculus For Dummies,* giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go.

- Gives you a chance to practice and reinforce the skills you learn in your calculus course
- Helps you refine your understanding of calculus
- Practice problems with answer explanations that detail every step of every problem

The practice problems inÂ *1001 Calculus Practice Problems For Dummies*Â range in areas of difficulty and style, providing you with the practice help you need to score high at exam time.

Table of Contents

## Editorial Reviews

### From the Back Cover

*Get:*

**Free one-year access to practice problems online:**

- All 1,001 practice problems online â€” from easy to hard
- Track your progress, see where you need more help, and create customized problem sets
- Study what, where, and when you want
- 1,001 practice problems covering all aspects of calculus, from limits and continuity to differentiation and integration
- Detailed answers and explanations for every problem

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**1,001 questions with step-by-step solutions**

Calculus is tough, and to get it right you need to practice, practice, practice. Look no further than this handy guideâ€”itâ€™s chock-full of practice problems! As a required course for many college majors, calculus often inspires dread. Fear not! With 1,001 practice problems that run the gamutâ€”from a review of algebra and trig to the most complex integralsâ€”youâ€™ll be armed with the perfect study guide to get the practice you need, complete with step-by-step answer explanations for every problem. Practice makes perfect, so dive in today to ace your calculus class!

- Letâ€™s review â€” get ready by refreshing your knowledge of algebra and trigonometry
- Take it to the limit â€” dive into questions on limits and rates of change, including questions on infinite limits, limits at infinity, and continuity
- Derivatives and more â€” use basic derivative questions to get up and running quickly
- Integrals and integration â€” master integrals with a host of questions and full explanations

**Go beyond the book. Get online and find:**

- A free one-year subscription to all problems
- Multiple-choice questions on many of the subjects youâ€™ll encounter in your calculus course
- Personalized reports that track your progress and help show you where you need to study the most
- Customizable practice sets for self-directed study
- Practice problems categorized as easy, medium, or hard

## TABLE OF CONTENTS

Introduction 1

**Part I: The Questions 5**

Chapter 1: Algebra Review 7

Chapter 2: Trigonometry Review 17

Chapter 3: Limits and Rates of Change 29

Chapter 4: Derivative Basics 43

Chapter 5: The Product, Quotient, and Chain Rules 49

Chapter 6: Exponential and Logarithmic Functions and Tangent Lines 55

Chapter 7: Implicit Differentiation 59

Chapter 8: Applications of Derivatives 63

Chapter 9: Areas and Riemann Sums 75

Chapter 10: The Fundamental Theorem of Calculus and the Net Change Theorem 79

Chapter 11: Applications of Integration 87

Chapter 12: Inverse Trigonometric Functions, Hyperbolic Functions, and L’Hopital’s Rule 99

Chapter 13: U-Substitution and Integration by Parts 107

Chapter 14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions 113

Chapter 15: Improper Integrals and More Approximating Techniques 121

**Part II: The Answers 125**

Chapter 16: Answers and Explanations 127

Index 595

### About the Author

**Patrick Jones**Â has a masterâ€™s degree in mathematics from the University of Louisville and has taught at the University of Louisville, Vanderbilt University, and Austin Community College. Jones now primarily spends his time expanding his YouTube video library as PatrickJMT and has amassed more than 280,000 subscribers.