MATH 1100-001
/
EXAM III
Instructions:. ril1el.e ale 6 prohleiiix. Show your work br frill (redit Put your iianie oil I he eaui Calcu—
lators an(l other elect rome (levi(es (iiicludiug (eli phones) are not allowed. You are allowed one side of au
8.5 by ii iul(l1 she t of liotes.
.
1. (15) Find the derivatives of the following finietious:
f(:r)
=
(,(.+1)
b. /(1)
=
[71\/TT1
c. f(:r)
=
100.11
a.
e
e
k
LiVt4
IL
/
fl)
L
(i)
,4i
(
(2
#()
Vfj)f
(H)/
-
/
[1A4
C
f/)=
t/t]
12(
/
I
e
os/v J
/
/ti /)
ci
TI
x
“1
—
,-_
C%ic
x
IJ
ç\j
I)
>
c)
C-,
I)
uui
‘I
C
C’-,
cj
/\cq
0
(‘J
0
cj
cj
_\Th
-
c)
c)
i
—
=
5
H
C
rJ
t
)
ç.J
-4tc
S
r<
I’
I’
0
4. (20 1)(H110) lII)1)OX(’ 1]ini 1I1(’ (ICIflHII(I Eoi
i
pIO(I11(l
How
))
jH
t lie
W( )i ii (1
200
-F
-F
WIIC1(’
giV(91 by
(lo11aI mid q i (lii’ (Jltm11i’ (1(’1I1i11(1(’(1. 1iIi(1 li(’
i’vt’iiiic’ 1 )(‘ a I feet ed 1 y a wi IC ii IcleaxI’?
])Ij((’ ill
11 1(’
4
(‘heti(ity
tt !L)
iict
t’;1f
j
1
tfrW’.&
fr
/
,&1h*
-j2 -2p
6
1:.-f
7c1
-
cip
-)
i’
Jo Y’o
2iV
t
2C)
O Lfo
10
—12D
i77/
11
of (1(IIialicl wlivii /)
$10.
C,
C)
‘I
F
P
c
K
ii
+
63
clJ
c)
x
6. (1(1
j)OilIiS)
S11
)
)
1
Us(’
11ii
{]1(’
iiiaigiiial
(051 1111l(i011 is giVeil by
C’ (:r)
,
SI1 ) H )S(’
I Iwl 11W
=
(051
j
ol ]wo(lucillg 10
(
ll1H{H iS
/0—
—
11)
—
$1 ,000. FiIl(1 i11(’
(Ost fiuici 1011.
L
-z
7o 4 C
s1
CCio
C