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The Chain Rule
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Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
The Chain Rule
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3. Techniques of Differentiation / The Chain Rule / Problem 6
Problem 6
Given that
f
(
−
1
)
=
−
1
f\left(-1\right)=-1
,
f
′
(
−
1
)
=
−
2
f^{\prime}\left(-1\right)=-2
,
g
(
−
1
)
=
−
1
g\left(-1\right)=-1
, and
g
′
(
−
1
)
=
5
g^{\prime}\left(-1\right)=5
, find the derivative of
f
4
(
x
)
g
(
x
)
f^4\left(x\right)g\left(x\right)
at
x
=
−
1
x=-1
.
A
−
8
-8
B
5
5
C
−
3
-3
D
1
1
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