Worksheet 2.3 - Differentiation Rules With Answers - Calculus Maximus

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Calculus Maximus
WS 2.3: Differentiation Rules
Name_________________________________________ Date________________________ Period______
Worksheet 2.3—Differentiation Rules
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Short Answer
For 1-3, using correct notation (always), find the derivatives of the following functions. Simplify early and
often!! Be sure to consider rewriting each term in the correct form first.
+
1
4
x
2
x
( )
(
)
( )
2
= −
3
2
+
=
2
= −
+
1.
f x
2
x
x
4
x
7
2.
g x
3sin
x
3.
y
4
x
3 2
x
x
3
3
x
For 4-6, using correct notation (never not always), evaluate each of the following with respect to the
indicated variable. Simplify early and often!! Be sure to consider rewriting each term in the correct form
first.
1
1
+
2
d
d
x
d
m
m
π
=
=
=
4
4.
3
t
6
t
4cos
t
5.
6.
2
+
3
dt
dx
x
1
dm
m
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