what is differentiation of log(log 2x)
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Step-by-step explanation:
the latter resented is natural log, the answer is
1
x
Explanation:
The derivative
d
d
x
ln
(
u
(
x
)
)
=
d
u
d
x
u
(
x
)
If the log in the problem is natural log rather than common log, this derivative appliea. Given that
u
(
x
)
=
2
x
,
u
'
(
x
)
=
2
, and thus...
d
d
x
ln
(
2
x
)
=
2
2
x
=
1
x
If instead we are dealing with common log, then because
log
a
(
x
)
=
ln
(
x
)
ln
a
, we would divide our result by
ln
a
, ln 10 in this case
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