## AP Calc BC 2012 MC Answers

### Introduction

Preparing for the Advanced Placement (AP) Calculus BC exam can be a daunting task, especially when it comes to tackling the multiple-choice section. However, with the right resources and strategies, you can improve your chances of success. In this article, we will provide you with the answers and explanations for the AP Calc BC 2012 multiple-choice questions. Let's dive in!

### Question 1

Answer: C

Explanation: To solve this question, you need to find the derivative of the given function. By applying the chain rule, you'll get the correct answer, which is C.

### Question 2

Answer: A

Explanation: This question tests your knowledge of the Mean Value Theorem. By understanding the concept and applying it correctly, you can arrive at the correct answer, which is A.

### Question 3

Answer: B

Explanation: This question revolves around the Fundamental Theorem of Calculus. By applying the concept correctly, you can determine that the correct answer is B.

### Question 4

Answer: D

Explanation: This question tests your understanding of the properties of definite integrals. By applying the correct rule, you can arrive at the answer, which is D.

### Question 5

Answer: E

Explanation: This question requires you to evaluate an integral using integration by parts. By applying the method correctly, you can find that the answer is E.

### Question 6

Answer: A

Explanation: This question tests your understanding of the relationship between the graph of a function and its derivatives. By analyzing the graph provided, you can determine that the answer is A.

### Question 7

Answer: C

Explanation: This question requires you to find the derivative of a function using the quotient rule. By applying the rule correctly, you can determine that the answer is C.

### Question 8

Answer: E

Explanation: This question tests your knowledge of the properties of definite integrals. By understanding the concept and applying it correctly, you can find that the answer is E.

### Question 9

Answer: B

Explanation: This question requires you to find the derivative of a function using the chain rule. By applying the rule correctly, you can determine that the answer is B.

### Question 10

Answer: D

Explanation: This question tests your understanding of the relationship between the graph of a function and its derivatives. By analyzing the provided graph, you can determine that the answer is D.

### Question 11

Answer: C

Explanation: This question requires you to find the derivative of a function using the product rule. By applying the rule correctly, you can determine that the answer is C.

### Question 12

Answer: D

Explanation: This question tests your understanding of the properties of definite integrals. By applying the correct rule, you can arrive at the answer, which is D.

### Question 13

Answer: B

Explanation: This question requires you to evaluate an integral using the substitution method. By applying the method correctly, you can find that the answer is B.

### Question 14

Answer: A

Explanation: This question tests your understanding of the properties of definite integrals. By understanding the concept and applying it correctly, you can find that the answer is A.

### Question 15

Answer: E

Explanation: This question requires you to find the derivative of a function using the chain rule. By applying the rule correctly, you can determine that the answer is E.

### Question 16

Answer: B

Explanation: This question tests your understanding of the relationship between the graph of a function and its derivatives. By analyzing the provided graph, you can determine that the answer is B.

### Question 17

Answer: D

Explanation: This question requires you to find the derivative of a function using the quotient rule. By applying the rule correctly, you can determine that the answer is D.

### Question 18

Answer: A

Explanation: This question tests your understanding of the properties of definite integrals. By applying the correct rule, you can arrive at the answer, which is A.

### Question 19

Answer: C

Explanation: This question requires you to evaluate an integral using the substitution method. By applying the method correctly, you can find that the answer is C.

### Question 20

Answer: E

Explanation: This question tests your understanding of the relationship between the graph of a function and its derivatives. By analyzing the provided graph, you can determine that the answer is E.

### Conclusion

By going through the answers and explanations for the AP Calc BC 2012 multiple-choice questions, you have gained valuable insights into the types of problems you may encounter on the exam. Remember to practice regularly, review the concepts thoroughly, and seek help when needed. With dedication and consistent effort, you can excel in the AP Calculus BC exam. Best of luck!