A comprehensive set of multiple choice questions and answers for the ap english language and composition unit 3 progress check. it’s designed to help students prepare for the exam by testing their understanding of key concepts and rhetorical strategies. The questions cover a range of topics and require students to analyze passages and identify the author’s purpose, techniques, and overall argument. this resource is valuable for self-assessment and exam preparation, allowing students to identify areas of strength and weakness before the actual exam.
1.
If and is a differentiable function of , which of the following is equivalent to the
derivative of
with respect to ?
(A)
(B)
(C)
(D)
2.
For which of the following functions is the chain rule an appropriate method to find the derivative with respect to
?
I.
II.
III.
(A) I only
(B) II only
(C) III only
(D) I and III only
3.
Let be a differentiable function. If , which of the following gives a correct process for
finding
?
(A)
(B)
(C)
(D)
4.
What is the slope of the line tangent to the curve
at the point ?
(A)
(B)
(C)
(D)
5.
If
, then
AP CALCULUS BC Scoring Guide
Unit 3 Progress Check: MCQ
AP Calculus BC
Page 1 of 6
(A)
(B)
(C)
(D)
6.
The point lies on the curve in the -plane given by the equation , where is a
differentiable function of
and is a differentiable function of . Selected values of , , , and are given in
the table above. What is the value of
at the point ?
(A)
(B) 4
(C) 5
(D) 13
7.
The graph of the increasing differentiable function is shown above. Also shown is the line tangent to the graph of
at the point . Let be the inverse of . Which of the following statements about is true?
Scoring Guide
Unit 3 Progress Check: MCQ
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AP Calculus BC
(A)
(B)
(C)
(D)
8.
Let
be the decreasing function defined by , where . If is the
inverse function of
, which of the following is a correct expression for ?
(A)
(B)
(C)
(D)
9.
The table above gives selected values for a differentiable and increasing function and its derivative. If
for all , which of the following is a correct expression for ?
(A)
(B)
(C)
(D)
10.
(A)
(B)
(C)
(D)
11.
Scoring Guide
Unit 3 Progress Check: MCQ
AP Calculus BC
Page 3 of 6
