Preview Cracking the AP Calculus AB Exam 2020, Premium Edition by Kahn, David S (2019)

Preview Cracking the AP Calculus AB Exam 2020, Premium Edition by Kahn, David S (2019) Preview Cracking the AP Calculus AB Exam 2020, Premium Edition by Kahn, David S (2019) Preview Cracking the AP Calculus AB Exam 2020, Premium Edition by Kahn, David S (2019) Preview Cracking the AP Calculus AB Exam 2020, Premium Edition by Kahn, David S (2019) Preview Cracking the AP Calculus AB Exam 2020, Premium Edition by Kahn, David S (2019)

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production team of Liz Rutzel, Harmony Quiroz, and Deborah Weber.Thanks to Frank, without whose advice I never would have taken thispath Thanks to Jeffrey, Miriam, and Vicki for moral support ThanksMom.

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Get More (Free) Content

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 AB Exam

AB Calculus vs BC Calculus

The Structure of the Calculus Exam

How the AP Calculus AB Exam is Scored

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 AB

Exam

1 How to Approach Multiple-Choice Questions

2 How to Approach Free-Response Questions

Part V: Content Review for the AP Calculus AB Exam

Unit 1: Differential Calculus Essentials

3 Limits

What is a Limit?

Limits of Trigonometric Functions

Practice Problem Set 1

End of Chapter 3 Drill

4 Continuity

The Definition of Continuity

Types of Discontinuities

Practice Problem Set 2

End of Chapter 4 Drill

5 The Definition of the Derivative

Deriving the Formula

Differentiability

Practice Problem Set 3

End of Chapter 5 Drill

6 Basic Differentiation

Notation

The Power Rule

The Addition Rule

Higher Order Derivatives

Practice Problem Set 4

The Product Rule

The Quotient Rule

The Chain Rule

Practice Problem Set 5

Derivatives of Trig Functions

Graphical Derivatives

Practice Problem Set 6

End of Chapter 6 Drill

7 Implicit Differentiation

How to Do It

Second Derivatives

Practice Problem Set 7

End of Chapter 7 Drill

Unit 2: Differential Calculus Applications

8 Basic Applications of the Derivative

Equations of Tangent Lines and Normal LinesPractice Problem Set 8

The Mean Value Theorem for DerivativesRolle’s Theorem

Practice Problem Set 9

End of Chapter 8 Drill

9 Maxima, Minima, and Curve Stretching

Applied Maxima and Minima Problems

Practice Problem Set 10

Curve Sketching

Practice Problem Set 11

End of Chapter 9 Drill

10 Motion

Related Rates

Practice Problem Set 12

Position, Velocity, and Acceleration

Practice Problem Set 13

End of Chapter 10 Drill

11 Derivatives of Exponential and Logarithmic Functions

The Derivative of ln x

The Derivative of e x

The Derivative of loga x

The Derivative of a x

Practice Problem Set 14

End of Chapter 11 Drill

12 Other Topics in Differential Calculus

The Derivative of an Inverse Function

Practice Problem Set 15

Linearization

Practice Problem Set 16

L’Hôpital’s Rule

Practice Problem Set 17

End of Chapter 12 Drill

Unit 3: Integral Calculus Essentials

13 The Integral

The Antiderivative

Integrals of Trig Functions

Addition and Subtraction

Practice Problem Set 18

u-Substitution

Practice Problem Set 19

End of Chapter 13 Drill

14 Definite Integrals

Area Under a Curve

Tabular Riemann Sums

Practice Problem Set 20

The Mean Value Theorem for Integrals

Practice Problem Set 21

End of Chapter 14 Drill

15 Integrals of Exponential, Logarithmic, and Trig FunctionsInverse Trig Functions

Practice Problem Set 22

More Integrals of Trig Functions

Integrating e x and a x

Practice Problem Set 23

End of Chapter 15 Drill

Unit 4: Integral Calculus Applications

16 The Area Between Two Curves

Vertical Slices

Horizontal Slices

Practice Problem Set 24

End of Chapter 16 Drill

17 The Volume of a Solid of Revolution

Washers and Disks

Cylindrical Shells

Volumes of Solids with Known Cross-Sections

Practice Problem Set 25

End of Chapter 17 Drill

18 Differential Equations

Separation of Variables

Slope Fields

Practice Problem Set 26

End of Chapter 18 Drill

19 Solutions to Practice Problem Sets

20 Solutions to End of Chapter Drills

Part VI: Practice Tests 2 and 3

Practice Test 2

Practice Test 2: Answers and ExplanationsPractice Test 3

Practice Test 3: Answers and Explanations

Part VII: Additional Practice Tests

Practice Test 4

Practice Test 4: Answers and ExplanationsPractice Test 5

Practice Test 5: Answers and Explanations

About the Author

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