AP Calculus Practice Exam
AB Version - Section I - Part A
Calculators ARE NOT Permitted On This Portion Of The Exam
28 Questions - 55 Minutes
1) Give f(g(-2)), given that
a) 
b) 
c) 
d) 
e) 
2) Find the slope of the tangent line to the graph of f at x = 4, given that
a) 
b) 
c) 
d) 
e) 
3) Determine
a) 
b) 
c) 
d) 
e) 
4) Let
A region is bounded between the graphs of y = -1 and y = f(x) for x between -1 and 0, and between the graphs of y = 1 and y = f(x) for x between 0 and 1. Give an integral that corresponds to the area of this region.
a) 
b) 
c) 
d) 
e) 
5) Given that 
Determine the change in y with respect to x.
a) 
b) 
c) 
d) 
e) 
6) Compute the derivative of 
a) 
b) 
c) 
d) 
e) 
7) Compute
a) 
b) 
c) 
d) 
e) 
8) Determine
a) 
b) 
c) 
d) 
e) 
9) Give the equation of the normal line to the graph of 
at the point ( 0 , 4 ).
a) 
b) 
c) 
d) 
e) 
10) Determine the concavity of the graph of 
at x = 
.
a) 
b) 
c) 
d) 
e) 
11) Compute
a) 
b) 
c) 
d) 
e) 
12) Give the value of x where the function
has a local minimum.
a) 
b) 
c) 
d) 
e) 
13) The slope of the tangent line to the graph of 
at x = 0 is 4. Give the value of c.
a) 
b) 
c) 
d) 
e) 
14) Compute
a) 
b) 
c) 
d) 
e) 
15) What is the average value of the function
on the interval from x = -4 to x = -1?
a) 
b) 
c) 
d) 
e) 
16) Compute
a) 
b) 
c) 
d) 
e) 
17) Find the instantaneous rate of change of 
at t = 0.
a) 
b) 
c) 
d) 
e) 
18) Compute
a) 
b) 
c) 
d) 
e) 
19) A solid is generated by rotating the region enclosed by the graph of 
the lines x = 1, x = 2, and y = 1, about the x-axis. Which of the following integrals gives the volume of the solid?
a) 
b) 
c) 
d) 
e) 
20) Compute
a) 
b) 
c) 
d) 
e) 
21) Given y > 0 and 
If the point 
is on the graph relating x and y, then what is y when x = 0?
a) 
b) 
c) 
d) 
e) 
22) Determine
a) 
b) 
c) 
d) 
e) 
23) Determine
a) 
b) 
c) 
d) 
e) 
24) A particle's acceleration for t > 0 is given by 
The particle's initial position is 2 and its velocity at t = 1 is 5. What is the position of the particle at t = 2?
a) 
b) 
c) 
d) 
e) 
25) Determine
a) 
b) 
c) 
d) 
e) 
26) Determine the derivative of 
at x = /2.
a) 
b) 
c) 
d) 
e) 
27) Compute the derivative of
a) 
b) 
c) 
d) 
e) 
28) Determine
a) 
b) 
c) 
d) 
e) 