Worksheet 2.10 Derivatives Of Log Functions & Log Diff
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7Calculus Maximus
WS 2.10: Log Functions
Name_________________________________________ Date________________________ Period______
Worksheet 2.10—Derivatives of Log Functions & LOG DIFF
Show all work. No calculator unless otherwise stated.
Short Answer
1. Find the derivative of each function with respect to x, given that a is a constant
a
x
x
a
=
=
=
=
(a)
y
x
(b)
y
a
(c)
y
x
(d)
y
a
2. Evaluate each of the following. Remember to simplify early and often (especially when you have logs).
d
d
d
⎡
⎤ =
⎡
⎤
⎡
−
⎤
2ln x
sin
x
x
5
(a)
e
(b)
log
a
=
(c)
log 8
=
⎣
⎦
⎣
⎦
⎣
⎦
a
2
dx
dx
dx
dy
3. For each of the following, find
. Look to simplify using the properties of logs first.
dx
−
x x
1
3/ 2
=
=
+
(a)
y
log
(b)
y
x
log
x
1
3
2
2
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