2. The derivative of x sin 7xwith respect to x is:
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Answer:To apply the Chain Rule, set
u
as
7
x
.
d
d
u
[
sin
(
u
)
]
d
d
x
[
7
x
]
The derivative of
sin
(
u
)
with respect to
u
is
cos
(
u
)
.
cos
(
u
)
d
d
x
[
7
x
]
Replace all occurrences of
u
with
7
x
.
cos
(
7
x
)
d
d
x
[
7
x
]
Explanation:
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