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Page 1 of 36 AP Calculus AB Name__________________________ Mock AP Exam #3 Review The Mock AP Exam Thursday- Multiple Choice There will be 5 Calculator Multiplice Choice Questions and 15 Non-Calculator Multiple Choice Questions. This portion of the Mock AP Exam is worth 10% of your Marking Period 3 grade. Friday- Open Ended There will be 1 Calculator Problem and 2 Non-Calculator Problems. This portion of the Mock AP Exam is also worth 10% of your Marking Period 3 grade. Topics: Page in Packet Review/New 1. Differentiability and Continuity 2-5 Review 2. Implicit Differentiation 6-10 Review 3. Derivative Tests a. First Derivative Test for Critical Points b. Second Derivative Test for Inflection Points c. Second Derivative Test for Critical Points 11-17 Review 4. Curve Sketching a. Find the graph of f from f’ b. Find the graph of f’ from f c. Determine critical points on the graph of f from the graph of f’ d. Determine maximums/minimums on the graph of f from graph of f’ e. Determine inflection points on the graph of f from the graph o f’ 18-23 Review 5. Evaluating Derivatives and Integrals on a Calculator 24 New 6. Basic Antidifferentiation/Integration General and Particular Solutions 25-27 Review 7. Integration with u/du Substitution 28- 30 New 8. Riemann Sums a. Find area under curve using geometry b. Left, Right, Midpoint, and Trapezoidal approximations 31-33 New 9. Fundamental Theorem of Calculus- Evaluation a. Evaluate area under a curve using the FTC 34-36 New

AP Calculus AB Name Mock AP Exam #3 Review · 2019-08-28 · AP Calculus AB Name_____ Mock AP Exam #3 Review The Mock AP Exam ... “February 3- Derivative Test AP Problems- Solutions”

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Page 1: AP Calculus AB Name Mock AP Exam #3 Review · 2019-08-28 · AP Calculus AB Name_____ Mock AP Exam #3 Review The Mock AP Exam ... “February 3- Derivative Test AP Problems- Solutions”

Page 1 of 36

AP Calculus AB Name__________________________

Mock AP Exam #3 Review

The Mock AP Exam

Thursday- Multiple Choice

There will be 5 Calculator Multiplice Choice Questions and 15 Non-Calculator Multiple Choice Questions. This portion of

the Mock AP Exam is worth 10% of your Marking Period 3 grade.

Friday- Open Ended

There will be 1 Calculator Problem and 2 Non-Calculator Problems. This portion of the Mock AP Exam is also worth 10%

of your Marking Period 3 grade.

Topics:

Page in Packet Review/New

1. Differentiability and Continuity 2-5 Review

2. Implicit Differentiation 6-10 Review

3. Derivative Tests a. First Derivative Test for Critical Points b. Second Derivative Test for Inflection

Points c. Second Derivative Test for Critical Points

11-17 Review

4. Curve Sketching a. Find the graph of f from f’ b. Find the graph of f’ from f c. Determine critical points on the graph of f

from the graph of f’ d. Determine maximums/minimums on the

graph of f from graph of f’ e. Determine inflection points on the graph

of f from the graph o f’

18-23 Review

5. Evaluating Derivatives and Integrals on a Calculator

24 New

6. Basic Antidifferentiation/Integration General and Particular Solutions

25-27 Review

7. Integration with u/du Substitution 28- 30 New

8. Riemann Sums a. Find area under curve using geometry b. Left, Right, Midpoint, and Trapezoidal

approximations

31-33 New

9. Fundamental Theorem of Calculus- Evaluation a. Evaluate area under a curve using the FTC

34-36 New

Page 2: AP Calculus AB Name Mock AP Exam #3 Review · 2019-08-28 · AP Calculus AB Name_____ Mock AP Exam #3 Review The Mock AP Exam ... “February 3- Derivative Test AP Problems- Solutions”

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1. Differentiability Multiple Choice Practice

Solutions found on Teacher Page under AP Calculus AB Exploration Notes Tab

“January 28- Investigating Implicit Differentiation- Day 2 Solutions”

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2. Implicit Differentiation Practice

Not all of these problems require Implicit Differentiation to complete – be careful.

Solutions found on Teacher Page under AP Calculus AB Exploration Notes Tab

“January 29- dy-dx and the AP Exam Classwork Solutions”

1969 AB:

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1973

1985

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1988

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Page 9 of 36

1988 BC

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Page 10 of 36

1993

1998

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3. Derivative Test AP Problems

Solutions found on Teacher Page under AP Calculus AB Exploration Notes Tab

“February 3- Derivative Test AP Problems- Solutions”

1973

1977

1985

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Page 12 of 36

1988

1993

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1997

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Calculator

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1998

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2003

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Page 17 of 36

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4. The Relationship between the Graphs of 𝒇, 𝒇′, 𝒂𝒏𝒅 𝒇′′ AP Problems

Solutions found on Teacher Page under AP Calculus AB Exploration Notes Tab

“February 18- The Relationship between the Graphs of f- f prime and f double prime AP Problems- Solutions”

1969 AB

1985 AB

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1985 BC

1988 AB

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1988 BC

1993 AB

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1997 AB

1997 BC

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1998 AB

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1998 BC

2003

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5. Evaluating Derivatives and Integrals on a Calculator

This is a reminder of how to use your calculator to evaluate derivatives and find definite integrals. Use these methods to

check your work. You may need to use these methods on the calculator portion of the exam.

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6. Basic Antidifferentiation/Integration General and Particular Solutions

Solutions found on Teacher Page under AP Calculus AB Exploration Notes Tab

“March 4- Antiderivatives and Initial Value Problems MC Practice- Solutions”

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7. Integration with u/du Substitution- NEW

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Does not require u/du:

Recall 𝑡𝑎𝑛𝑥 =𝑠𝑖𝑛𝑥

𝑐𝑜𝑠𝑥

No u/du required:

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8. Riemann Sums- NEW

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9. Fundamental Theorem of Calculus/ Definite Integrals- NEW

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