AP Calculus BC Unit 2 Progress Check focuses on multiple-choice questions that assess students' understanding of calculus concepts. It includes problems related to derivatives, functions, and rates of change, crucial for mastering AP Calculus. This assessment is designed for high school students preparing for the AP exam, providing practice with real exam-style questions. Key topics include instantaneous rates of change, differentiable functions, and application of the product rule. Each question is crafted to enhance problem-solving skills and conceptual understanding in calculus.

Key Points

  • Includes multiple-choice questions on derivatives and functions.
  • Covers key calculus concepts such as instantaneous rates of change.
  • Designed for AP Calculus BC students preparing for the exam.
  • Features problems that apply the product rule in differentiation.
newtopiccyclegrowin
4 pages
AP® Calculus BC
newtopiccyclegrowin
4 pages
AP® Calculus BC
318
/ 4
1.
Let be the function given by . What are all values of such that ?
(A)
(B) 1.746
(C) 1.777
(D) and 2.508
2.
Let
be the function given by . What is the value of ?
(A) 56
(B) 28
(C) 25
(D) 10
3.
If
, then
(A)
(B)
(C)
(D)
4.
If
, then
(A)
(B)
(C)
(D)
5.
Let
be the function given by . What is the instantaneous rate of change of with
respect to
at ?
(A)
(B)
(C)
(D)
6.
AP CALCULUS BC Scoring Guide
Unit 2 Progress Check: MCQ Part B
AP Calculus BC
Page 1 of 4
(A)
(B)
(C)
(D)
7.
The function
is given by , where is a constant and is a differentiable function
satisfying
and . For what value of is ?
(A)
(B)
(C)
(D)
8.
The table above gives the values of the differentiable functions and and their derivatives at . What is the
value of
ⅆ
ⅆ
at ?
(A) 6
(B) 13
(C) 14
(D) 20
9.
If
, then
(A)
(B)
(C)
(D)
10.
If
, then
(A)
(B)
(C)
(D)
Scoring Guide
Unit 2 Progress Check: MCQ Part B
Page 2 of 4
AP Calculus BC
11.
The graphs of the functions and are shown above. If , then
(A)
(B)
(C)
(D)
12.
What is the slope of the line tangent to the graph of
at ?
(A) 1
(B)
(C)
(D) 12
13.
(A)
(B)
(C)
(D)
14.
Scoring Guide
Unit 2 Progress Check: MCQ Part B
AP Calculus BC
Page 3 of 4
/ 4
End of Document
318

You May Also Like

FAQs

What topics are covered in the AP Calculus BC Unit 2 Progress Check?
The AP Calculus BC Unit 2 Progress Check covers essential topics such as derivatives, rates of change, and the application of the product rule. It includes a variety of multiple-choice questions that challenge students to apply their knowledge in practical scenarios. Students will encounter problems that require them to analyze functions and their derivatives, providing a comprehensive review of calculus principles. This assessment is crucial for students aiming to excel in the AP exam and deepen their understanding of calculus.
How does the assessment help students prepare for the AP exam?
The assessment is designed to mirror the format and difficulty of the actual AP exam, allowing students to familiarize themselves with the types of questions they will encounter. By practicing with these multiple-choice questions, students can identify their strengths and weaknesses in calculus concepts. The problems encourage critical thinking and problem-solving skills, which are essential for success on the AP exam. Additionally, the feedback from this assessment can guide students in their study efforts leading up to the exam.
What is the significance of understanding derivatives in calculus?
Understanding derivatives is fundamental in calculus as they represent the rate of change of a function. This concept is crucial for analyzing the behavior of functions in various contexts, such as physics, economics, and engineering. Derivatives allow students to solve real-world problems involving motion, optimization, and growth rates. Mastery of derivatives also lays the groundwork for more advanced topics in calculus, such as integration and differential equations, making it a key focus in AP Calculus courses.

Related