Differentiate. (√x)(x²+7)
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Answer:
Since
∀
r
∈
R
,
x
r
=
e
r
ln
(
x
)
It is true that
7
x
2
=
e
x
2
ln
(
7
)
Then by the chain rule
(
f
(
g
(
x
)
)
)
'
=
f
'
(
g
(
x
)
)
g
'
(
x
)
⇒
(
e
x
2
ln
(
7
)
)
'
=
e
x
2
ln
(
7
)
2
ln
(
7
)
x
=
7
x
2
(
2
ln
(
7
)
x
)
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