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Chapter 11 - The Chain Rule
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Lesson Summary:
The Chain Rule shows how to find the derivative of a function composition. The Chain Rule states that
d
d
x
[
f
∘
g
]
=
d
f
d
g
⋅
d
g
d
x
.
Lesson Inputs:
Chapter 10 - The Quotient Rule
Lesson Outputs:
Chapter 12 - Attaching Real World Meaning to Variables and Functions
GAIN AN ADVANTAGE
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Lesson Specific Problems
Determine
(
g
∘
f
)
′
(
x
)
where
f
(
x
)
=
3
x
2
+
5
x
−
2
and
g
(
x
)
=
4
x
+
3
.
Determine
(
f
∘
g
)
′
(
x
)
where
f
(
x
)
=
3
x
2
+
5
x
−
2
and
g
(
x
)
=
4
x
+
3
.
Determine the derivative of
(
x
2
−
1
)
50
.