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AP Calculus BC Exam Questions

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Practice AP Calculus BC Exam

sample ap calculus bc questions ap calculus bc exam practice questions


Q:1-Let f(x) = xe4x on the interval (0,1). Find a value for the number(s) that satisfies the mean value theorem for this function and interval.
Mark one answer:

0.45
0.92
0.67
0.18
0.23



Q:2-Calculate the derivative of f(x) = 4x2 - x + 2 at the point x=1.
Mark one answer:

8
7
10
9


Q:3-Evaluate the first derivative if
f(x) = 2ex and x=0.

Mark one answer:

f′(0) = 2
f′(0) = e
f′(0) = 0
f′(0) = 1


Q:4-Over which of the following intervals is the following function concave upward?
f(x) = -x2ln(x)

Mark one answer:

{x : x > ln(3/2)}
{x : x < e-3/2}
{x : 0 < x < e-3/2}
{x : x > e-3/2}
f(x) is never concave upward.


Q:5-Which of the following functions has an inflection point where concavity changes?
05-05-a ap-calculus-bc questions
Mark one answer:

A
B
C
D
E


test-questions.com

Q:6-Given the velocity function
05-06 ap-calculus-bc questions
where d is real number such that d∈[0,1], find the acceleration function a(x).

Mark one answer:

a(x) = (x2+2x+1)2dsin(x2+2x+1)10
a(x) = (x2+2x+1)dsin(x2+2x+1)10
a(x) = (2x+2)(x+1)2dsin(x+1)10
a(x) = (x+1)dsin(x+1)10
a(x) = (2x+2)d(x+1)2dsin(x+1)10


Q:7-Find the limit if it exists.
05-07 ap-calculus-bc questions
Hint: Apply L'Hospital's Rule.

Mark one answer:

-1
DNE
2/3
0


Q:8-Find the limit if it exists
05-08 ap-calculus-bc questions
Hint: Use L'Hospital's rule

Mark one answer:

0
1
1/2
3/2


Q:9-Find dy/dx if x3 - xlny = yex
05-09-a ap-calculus-bc questions
Mark one answer:

A
B
C
D
E


Q:10-Find dy/dx: y = tan-1(2x(x+1)10)
05-10-a ap-calculus-bc questions
Mark one answer:

A
B
C
D
E



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