MTH 241 Derivativesgraphic LAB D Name:
Recitation Time: 8 9 10 11 12 1 2 3
On the next page is the graph of a polynomial function on the domain of 0 s x s 7.2 or [0, 7 .2].
Estimate the answers to the following questions based on that graph-be as accurate
MTH 241 DERIVATIVES-Symbolic and graphic LAB C
NAME: TAs Name:
Recitation Time:
SHOW ALL WORK! Use another sheet of paper ifyou need more space and staple it to this one
1) Below is some data on the population of a town from 2000 to 2012
Year r) 2000 2002
MTH 241 Limits Lab B NAME:
TAs Name:
Recitation Time:
SHO WALL WORK! Use another sheet of paper if you need more space and staple it to this one
2 _
1.Letf(x)=:gi;~ and g(x)=x+4
x.
a. Fill in the missing function values in the foiiowing table, write unden
MTH 241
function increase/decrease, relative min/max, absolute min/max LAB F
NAME:_
TAs Name:
Recitation Time:
SHOW ALL WORK! Use another sheet of paper if you need more space and staple it to this one
x 6 2x 5
1. For f ( x)
determine:
10
3
a) interval(s
Answers to even numbered questions from text pgs 127-129
#44. g ' ' (3) = 12
#52.
d
(4 x 10 )5
dx
x =3
= 320
Key to practice problem Math 241
Chapter 1
1. a
2. c
3. d
4. a
5. a
6. b
7. d
8. a
9. d
10. d
11. c
12. a
13. b
14. c
15. c
16. d
17. e
18. e
19.
Key to even questions from text: pgs 194-197
8. b
10. a
12. b
14. graph of g is decreasing at point (1,5)
16. graph of F is decreasing and concave downward at x = 2
18. graph of f is increasing and concave downward at the point (4, -2)
20. graph of H has
Review questions from the text
Pg 128-129 Supplementary exercises chapter 1: 5, 15, 17, 19, 21, 23, 25, 27, 43, 44, 45, 49, 52, 59, 63,
67, 73, 75, 77, 79, 81
Chapter 1
1. Below is a table of revenue in thousands of dollars for the first 10 days a new pro
Review questions from the text
Pg 194-196 Supplementary exercises chapter 2: #1, 7-20, 22, 35, 37, 41, 43, 45, 46, 47, 52, 53, 54, 55,
60, 61
Chapter 2
1. The demand function for a particular commodity is given by p = 600 3x . Find the marginal
revenue wh
MTH 241 Pre-Req LAB A Name:
Recitation Time: 8 9 10 11 12 l 2 ,3
Using your graphing calculator, sketch the graph of the following three relations (make sure to
LABEL everything: x and y axis, intercepts, sealing of graph, etc). Provide a written descript
Questions from old mth 241 exams listed by chapter.
Chapter 3
1. Find the number of units, x , that will minimize the average cost function if the total cost
function is C = 3 x 2 12 x + 7500 .
a) 2
b) 5
c) 500
d) 50
e) none of the above
2. Use the produc
2.1 Describing Graphs of Functions
22 The First and Second Derivative Rules
2.3 First and Second Derivative Tests and
Curve Sketching
2.4 Curve sketching (conclusion)
2.5 Optimization Problems
2.6 Further Optimization Problems
_ I 2. 7 Applicati
Sec 1.2 The Sloge of 3 Curve at a Point
Now that we have dened what we mean by the slope of a
straight line, we must decide how to address the issue of the -
slope of a curved line.
80 , r F 3
I375 6 I 7
x \
I35 \ I _r
y Q} N _ _/w #
0.25 O 32 ?
Sec 1.3 The Derivative
Imagine the graph of a function, f(x) , Where a tangent line to
the graph exists at all points on the graph.
We saw from the example in the last section that it is possible to
find a formula that generates the slope of the curve