Download 10 Show only neat work on this paper. Messy work will not get credit. x

Math 1400 - Quiz #3 TakeHome Fall 2009
Score:
Name
Row
10
This quiz is due on Friday, September 25 at 10 am. If you are unable to be in class, put your quiz in my
mailbox, which is in the hallway outside of the MATH office, CU340. My name is on the mailbox, which also
is numbered #26.
Show only neat work on this paper. Messy work will not get credit.
Ql: Use the definition of the derivative to find the derivative of the function f (x). You must use
good notation.
You may simplify the value of f (x + h) off to the side, but you must show your work.
For
f (x) = 3x 3 +
5 find
f ' (x) =
Jim f (x + h) — f (x)
it-41
h
(,( +- tx) = 3 (x-k-k.)
s
k „,>(111-+-01
3 ( k.2' + x 114.-k-')(x+-k)
3
V. Y -3-1.
a 1. 1
cx
— cx) - 3
3 4_
c)<
k)‹.
(3 x 3 4-- s-)
q y 7- k
1A7-+
,6
=
-1-1-,73-1-
x
3 [-x.33 ti;y16t
1\3
+ 9 )(
-3 0
iv3k)
k.
(9
a +0
(x) =
\k.A. 3)r\-2-)
Q2: Find the derivatives. Put a box around your final answer.
A.
2 t 3
Find y'for y = + -T
B.
1
A.
Find f ' (x) for f (s) -= .P
3
2
-2.
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4
- 1A7
Q3: For the function
+
3
_C2-
f (x) = 2x 2 — 5x +
1 find f'(x) answer A - C.
Find f'(x)
6-
4" ( )
At what value of x does the graph have a horizontal tangent?
Sketch this tangent line on the graph
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Li X
°
C. Find the equation of the tangent line at x = 1 . Sketch this tangent lines
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(I)
fico
-1
1J-1/,'D
- a
-)
m
—1 (--1)
Q4: The body temperature, in degrees Fahrenheit, of a patient t hours after being given a fever — reducing drug
is given below.
F (t) =
0.16t 2 — 1.6t + 102
r(-1,)= 3-2.-L - 1-4,
Find F(2) and F'(2) (calculator answers are OK) and write a brief verbal interpretation of these numbers.
Fc-z)
99. LP/ °F.
F j(2.)
' tf7
Be sure to label numerical values. 2
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Math 1400 - Quiz #3 TakeHome Fall 2009
Row
Score: Name
10
This quiz is due on Friday, September 25 at
10 am. If you are unable to be in class, put your quiz in my
mailbox, which is in the hallway outside of the MATH office, CU340. My name is on the mailbox, which also
is numbered #26.
Show only neat work on this paper. Messy work will not get credit.
Ql: Use the definition of the derivative to find the derivative of the function
f (x).
You must use good notation.
You may simplify the value of f (x + h) off to the side, but you must show your work.
For f (x) -= 3x 3 + 5 find f (x) = lim
h-*0
f (x
+
— f (x)
Q2: Find the derivatives. Put a box around your final answer.
A. Find y 1 for y =
2
t3
B. Find f'(x) for f (s) = VS3
f
2
Q3: For the function f (x)
2x 2 — 5x + 1 find f'(x) answer A - C.
Find /1(x)
At what value of x does the graph have a horizontal tangent?
Sketch this tangent line on the graph
3
C. Find the equation of the tangent line at
x = 1 . Sketch this tangent line.
Q4: The body temperature, in degrees Fahrenheit, of a patient t hours after being given a fever — reducing drug
is given below. F (t) = 0.16t 2 — 1.6t + 102
Find F(2) and F'(2) (calculator answers are OK) and write a brief verbal interpretation of these numbers.
Be sure to label numerical values.