Cracking the AP Calculus BC Exam, 2016 Edition by Princeton-Review -- Read -- Imperial Library of Trantor

Index

Cover Title Page Copyright Acknowledgments Contents Register Your Book Online! Part I: Using This Book to Improve Your AP Score

Preview: Your Knowledge, Your Expectations Your Guide to Using This Book How to Begin

Part II: Practice Test 1

Practice Test 1 Practice Test 1 Answers and Explanations

Part III: About the AP Calculus BC Exam

AB Calculus vs BC Calculus Structure of the Exam Overview of Content Topics General Overview of This Book How AP Exams Are Used Other Resources Designing Your Study Plan

Part IV: Test-Taking Strategies for the AP Calculus BC Exam

1. How to Approach Multiple-Choice Questions 2. How to Approach Free-Response Questions

Part V: Content Review for the AP Calculus BC Exam

3. Limits

What is a Limit? Limits of Trigonometric Functions Practice Problem Set 1

4. Continuity

The Definition of Continuity Types of Discontinuities Practice Problem Set 1

5. The Definition of the Derivative

Deriving the Formula Differentiability Practice Problem Set 1

6. Basic Differentiation

Notation The Power Rule The Addition Rule Higher Order Derivatives Practice Problem Set 1 The Product Rule The Quotient Rule The Chain Rule Practice Problem Set 2 Derivatives of Trig Functions Graphical Derivatives Practice Problem Set 3

7. Implicit Differentiation

How to Do It Second Derivatives Practice Problem Set 1

8. Basic Applications of the Derivative

Equations of Tangent Lines and Normal Lines Practice Problem Set 1 The Mean Value Theorem for Derivatives Rolle’s Theorem Practice Problem Set 2

9. Maxima and Minima

Applied Maxima and Minima Problems Practice Problem Set 1 Curve Sketching Practice Problem Set 2

10. Motion

Related Rates Practice Problem Set 1 Position, Velocity, and Acceleration Practice Problem Set 2

11. Exponential and Logarithmic Functions, Part One

The Derivative of ln x The Derivative of ex The Derivative of logax The Derivative of ax Practice Problem Set 1

12. Other Topics in Differential Calculus

The Derivative of an Inverse Function Practice Problem Set 1 Derivatives of Parametric Functions Practice Problem Set 2 L’Hôpital’s Rule Practice Problem Set 3 Differentials Practice Problem Set 4 Logarithmic Differentiation Practice Problem Set 5

13. The Integral

The Antiderivative Integrals of Trig Functions Addition and Subtraction Practice Problem Set 1 u-Substitution Practice Problem Set 2

14. Definite Integrals

Area Under a Curve Tabular Riemann Sums Practice Problem Set 1 The Mean Value Theorem for Integrals Practice Problem Set 2

15. Exponential and Logarithmic Functions, Part Two

More Integrals of Trig Functions Integrating ex and ax Practice Problem Set 1

16. The Area Between Two Curves

Vertical Slices Horizontal Slices Practice Problem Set 1

17. The Volume of a Solid of Revolution

Washers and Disks Cylindrical Shells Volumes of Solids with Known Cross-Sections Practice Problem Set 1

18. Integration by Parts

The Formula Practice Problem Set 1

19. Trig Functions

Inverse Trig Functions Practice Problem Set 1 Advanced Integrals of Trig Functions Practice Problem Set 2

20. Other Applications of the Integral

Length of a Curve Parametric Functions Practice Problem Set 1 The Method of Partial Fractions Practice Problem Set 2 Improper Integrals Practice Problem Set 3 Calculus of Polar Curves Practice Problem Set 4

21. Differential Equations

Separation of Variables Euler’s Method Slope Fields Practice Problem Set 1

22. Infinite Series

Sequences and Series Geometric Series The Ratio Test Alternating Series Integral Test Comparison Test Power Series Taylor Series and Polynomials Practice Problem Set 1

23. Answers to Practice Problem Sets

Part VI: Practice Tests

24. Practice Test 2 25. Practice Test 2 Answers and Explanations 26. Practice Test 3 27. Practice Test 3 Answers and Explanations

Appendix About the Author

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