This preview shows pages 1–2. Sign up to view the full content.
Review Problems for Exam 2
(Covers chapter 3)
1.
Find the derivative of the function by the limit process.
a)
3
2
)
(
2
+

=
x
x
x
f
b)
1
)
(
+
=
x
x
f
2.
Find an equation of the line that is tangent to the graph of
)
7
)(
8
(
)
(
2
2


=
x
x
x
f
at (3, 2).
3.
Find the derivative of each of the following functions.
(a)
6
3
2
)
(
2
3
4

+

+
=
x
x
x
x
x
f
(b)
x
x
x
f
4
)
(
2

=
(c)
3
6
)
(
x
x
x
f

=
(d)
3
2
1
)
(


=
x
x
x
f
(e)
4
2
)
1
3
(
)
(
+

=
x
x
x
f
4.
Find an equation of the line that is tangent to the graph of
2
2
3
)
(
x
x
x
f
+

=
and
parallel to the line
3
2
4
=
+
y
x
.
5.
Find an equation of the line that is tangent to the graph of
2
3
)
(
x
x
f
+
=
and
perpendicular to the line
3
2
4
=
+
y
x
.
6.
If
5
3
2
)
(
2
+

+
=
x
x
x
x
f
, find
)
(
)
4
(
x
f
.
7.
A ball is thrown straight down from the top of a building. Its distance from the
ground is given by the position function
2
16
22
220
)
(
t
t
t
s


=
. Find its velocity
and acceleration after 3 seconds.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This homework help was uploaded on 01/23/2008 for the course MATH 2253 taught by Professor Pascu during the Fall '07 term at SPSU.
 Fall '07
 PASCU
 Calculus, Derivative

Click to edit the document details