AP Calculus AB Name Mock AP Exam #3 Review

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AP Calculus ABNameMock AP Exam #3 ReviewThe Mock AP ExamThursday- Multiple ChoiceThere will be 5 Calculator Multiplice Choice Questions and 15 Non-Calculator Multiple Choice Questions. This portion ofthe Mock AP Exam is worth 10% of your Marking Period 3 grade.Friday- Open EndedThere 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:1. Differentiability and Continuity2. Implicit Differentiation3. Derivative Testsa. First Derivative Test for Critical Pointsb. Second Derivative Test for InflectionPointsc. Second Derivative Test for Critical Points4. Curve Sketchinga. Find the graph of f from f’b. Find the graph of f’ from fc. Determine critical points on the graph of ffrom the graph of f’d. Determine maximums/minimums on thegraph of f from graph of f’e. Determine inflection points on the graphof f from the graph o f’5. Evaluating Derivatives and Integrals on aCalculator6. Basic Antidifferentiation/Integration General andParticular Solutions7. Integration with u/du Substitution8. Riemann Sumsa. Find area under curve using geometryb. Left, Right, Midpoint, and Trapezoidalapproximations9. Fundamental Theorem of Calculus- Evaluationa. Evaluate area under a curve using the FTCPage in iewReviewNew25-27Review28- 3031-33NewNew34-36NewPage 1 of 36

1. Differentiability Multiple Choice PracticeSolutions found on Teacher Page under AP Calculus AB Exploration Notes Tab“January 28- Investigating Implicit Differentiation- Day 2 Solutions”Page 2 of 36

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2. Implicit Differentiation PracticeNot 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:Page 6 of 36

19731985Page 7 of 36

1988Page 8 of 36

1988 BCPage 9 of 36

19931998Page 10 of 36

3. Derivative Test AP ProblemsSolutions found on Teacher Page under AP Calculus AB Exploration Notes Tab“February 3- Derivative Test AP Problems- Solutions”197319771985Page 11 of 36

19881993Page 12 of 36

1997Page 13 of 36

CalculatorPage 14 of 36

1998Page 15 of 36

2003Page 16 of 36

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4. The Relationship between the Graphs of 𝒇, 𝒇′ , 𝒂𝒏𝒅 𝒇′′ AP ProblemsSolutions 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 AB1985 ABPage 18 of 36

1985 BC1988 ABPage 19 of 36

1988 BC1993 ABPage 20 of 36

1997 AB1997 BCPage 21 of 36

1998 ABPage 22 of 36

1998 BC2003 Page 23 of 36

5. Evaluating Derivatives and Integrals on a CalculatorThis is a reminder of how to use your calculator to evaluate derivatives and find definite integrals. Use these methods tocheck your work. You may need to use these methods on the calculator portion of the exam.Page 24 of 36

6. Basic Antidifferentiation/Integration General and Particular SolutionsSolutions found on Teacher Page under AP Calculus AB Exploration Notes Tab“March 4- Antiderivatives and Initial Value Problems MC Practice- Solutions”Page 25 of 36

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7. Integration with u/du Substitution- NEWPage 28 of 36

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Does not require u/du:𝑠𝑖𝑛𝑥Recall 𝑡𝑎𝑛𝑥 𝑐𝑜𝑠𝑥No u/du required:Page 30 of 36

8. Riemann Sums- NEWPage 31 of 36

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9. Fundamental Theorem of Calculus/ Definite Integrals- NEWPage 34 of 36

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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

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