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Chapter 9 - The Product Rule
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Lesson Summary:
The product rule gives us a quick way of finding the derivative of the multiplication of two functions. The product rule is
d
d
x
f
g
=
g
d
f
d
x
+
f
d
g
d
x
.
Lesson Inputs:
Chapter 8 - The Derivative of a Polynomial
Lesson Outputs:
Chapter 10 - The Quotient Rule
GAIN AN ADVANTAGE
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Lesson Specific Problems
Use the product rule to find the derivative of
f
(
x
)
g
(
x
)
where
f
(
x
)
=
32
x
2
−
23
x
+
6
and
g
(
x
)
=
4
x
2
+
7
x
+
6
.
Use the product rule to find the derivative of
f
(
x
)
g
(
x
)
where
f
(
x
)
=
5
x
6
−
16
x
5
−
4
x
4
+
72
x
3
−
3
x
2
−
2
x
+
18
and
g
(
x
)
=
42
x
2
+
32
x
+
7
.
Use the product rule to find the derivative of
f
(
x
)
g
(
x
)
where
f
(
x
)
=
4
x
2
+
5
x
−
2
and
g
(
x
)
=
−
3
x
−
7
.
