Worksheet 2.10 Derivatives Of Log Functions & Log Diff Page 5

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Calculus Maximus
WS 2.10: Log Functions
(
)
( )
2
=
10. Let
.
f x
ln 1
x
( )
(a) State the domain of f.
(b) Find
lim
f x
→−
x
1
( )
( )
(c) Find
f x
.
(d) State the domain of
f x
.
( )
′′
<
(d) Explain why
f
x
0
for all x in the domain of f.
Multiple Choice
_____ 11. Use the properties of logs to simplify, as much as possible, the expression:
4
4
1
+
+
log 32
log 4
log 2 log
a
a
a
a
14
5
5
5
2
7
(A) log 128
(B) log 8
(C) log 32
(D)
log 2
(E) 8
a
a
a
a
Page 5 of 7

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