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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 has a masters 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.

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