Math 251 - Fall 2004
Derivative Practice Problems
This is a list of practice problems for derivatives which are a little bit more involved
than most of the webwork problems. Most of these will require you to use several dierent
derivative rules. Most of t
Math 251 (M.Knapp)
Exam #1. Thurs. March 27, 2008
BE SURE TO SHOW YOUR WORK FOR FULL CREDIT!
NAME:
Scores:
Problem Maximum
1
12
2
10
3
15
4
15
5
12
6
12
7
12
8
12
TOTAL
Score
100
1
#1. Suppose that f (x) is a function.
a) Write down the limit denition of
Math 251 (M.Knapp)
Exam #1. Thurs. Feb. 21, 2008
BE SURE TO SHOW YOUR WORK FOR FULL CREDIT!
NAME:
Scores:
Problem Maximum
1
12
2
12
3
15
4
15
5
14
6
14
7
10
8
8
TOTAL
Score
100
1
#1. Consider the two functions f (x) =
a) What is the domain of f (x)?
3 x a
Math 251 - Quiz 7
April 3, 2008
#1. Consider the function f (x) = x3 3x + 5.
a) Find all of the x-values which are critical points of f (x).
b) Find the global minimum of f (x) on the interval [3, 2].
#2. A box has a square base and a height of 5 feet. If
Math 251 - Quiz 9
April 17, 2008
#1. Evaluate each of the following limits.
ex 1
a) lim
x0 cos x
ex 1
x0 sin x
b) lim
#2. Suppose that you run a business. The demand function for your business is given by
the formula p(x) = 700 5x, where x is the number o
Math 251 - Fall 2004
Derivative Practice Problems
Solutions
Here are the answers to the practice problems. Ive left most of them completely unsimplied, although some might be simplied a bit.
(cos x)(12x3 ) (3x4 )( sin x)
3x4
cos2 x
cos x
2
2) y = x2/3 sin