Algebraic Manipulation Worksheet

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AB Review 02, Use your calculator ONLY on #11.
dy
2
x   ,
1
1. If
y
xy x
 , then when
1
is
dx
1
1
(A)
(B)
(C) 1 
(D) 2 
(E) nonexistent
2
2
d
 
2
f x
x
x
f
x
2. If
2
, then
ln
dx
2ln
x
2
2
2
x
2
(B) 2 ln
x
x 
2
(C) 2ln
x 
2
2ln x
(A)
(D)
(E)
x
x
x
3
x
for
x
0
 
3. Let f be the function defined by
f x
 
. Which of the following statements about f is
x
for
x
0
 
true?
x 
0
(A) f is an odd function
(B) f is discontinuous at
(C) f has a relative maximum
 
 
f 
x 
0
(D)
0
0
(E)
f x
0
for

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