MATH 191, Sections 1 and 3
Calculus I
Fall 2007
Practice Exam 3
This practice exam, like the actual exam will be, is worth a total of 100 points, and point values for
each question are given below. It is similar in length, format, and tested content to the actual exam,
but in the interest in saving paper I have omitted space for you to work your solutions; you should work
these out on your own paper. Answer every question fully and clearly. Please show your work where
appropriate, and circle or box your final answer. Please let me know if you have any questions!
1. (10 points)
True or false?: if
f
(
c
) = 0, then
f
has a local extremum at
x
=
c
. (If this statement
is true, explain why it is true. If it’s false, give an example of a function that shows that it’s false.)
2. (10 points total; 5 points each)
Suppose that
f
(
x
) = 5

4
x
+ 2
x
2

2
x
3
on the interval [

2
,
2].
(a) Explain why the Mean Value Theorem applies to this function on the given interval.
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 Fall '07
 BAHLS
 Calculus, Derivative, Mean Value Theorem, mean value

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