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Exam #3, version 1
Math 2313, Calculus I
Spring 2008
For problems 1 – 4, circle the best answer.
1)
[2 pts]
What is the antiderivative of
x
x
tan
sec
?
a)
C
x
+
tan
b)
C
x
+
sec
c)
C
x
x
+
sec
tan
d)
None of the above.
2)
[2 pts]
The differential,
dy
, is equal to
a)
dx
x
f
)
(
b)
dx
x
f
)
(
′
c)
)
(
x
f
′
d)
y
∆
3)
[2 pts]
Which of the following functions has a horizontal asymptote?
a)
6
5
2
)
(
2
+

=
x
x
x
f
b)
1
8
3
)
(
2


=
x
x
x
f
c)
18
4
10
)
(
2
3
5
+
+

=
x
x
x
x
x
f
d)
4
1
6
)
(
3
2
+

=
x
x
x
f
4)
[2 pts]
If a function,
)
(
x
f
, is concave down on an interval, then the slope of the
tangent at a point
x
in that open interval is
a)
increasing
b)
decreasing
c)
constant
d)
it varies
1
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View Full Document For the remaining problems, read directions carefully, show all work
, and give units
with application answers.
5)
[8 pts]
Use the first derivative test
to find any relative extrema of the function:
5
5
)
(
5
x
x
x
f

=
6)
[8 pts]
Use the second derivative test
to find any relative extrema of the function:
x
x
x
f
4
)
(
+
=
2
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This note was uploaded on 10/31/2010 for the course CALC 101 taught by Professor Lylebatton during the Spring '05 term at North Central Texas College.
 Spring '05
 LYLEBATTON
 Calculus, Derivative

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