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University of California, Riverside
Department of Mathematics
Midterm 2
Mathematics 9A  First Year of Calculus
Sample 5
Instructions:
This exam has a total of 100 points. You have 50 minutes.
You must show all your work to receive full credit You may use any result
done in class. The points attached to each problem are indicated beside the
problem. You are not allowed to use books, notes, or calculators. Answers
should be written as
p
2
as opposed to
1
:
4142135
:::
.
1. Find the derivative of the following functions:
(a) (6 points)
g
(
) =
±
2
(sec
sin 2
)
2
(b) (7 points)
f
(
x
) =
x
4 tan
x
x
3
+ 2
p
x
(c) (7 points)
f
(
y
) =
2
p
y
cos
3
y
3
+ csc
±
2
±
2. (20 points) Find the equation of the tangent line to the curve
xy
2
+ cos (
±y
) = 1
at the point
(2
;
1)
:
1
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View Full Document 3. A house is located at a straight road which runs eastwest. The posi
tion,
s
(
t
)
;
of a car moving on the straight road measured in miles from
the house after
t
hours is given by
s
(
t
) = 60
t
15
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This note was uploaded on 01/11/2010 for the course MAT 9a taught by Professor Nouh during the Spring '09 term at UC Riverside.
 Spring '09
 Nouh
 Calculus

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