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derivative of 1/(ln(x))
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d
dx
(
1
ln
(
x
)
)
=
−
1
x
ln
2
(
x
)
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d
dx
(
1
ln
(
x
)
)
=
−
1
x
ln
2
(
x
)
steps
d
dx
(
1
ln
(
x
)
)
Apply
exponent
rule
:
1
a
=
a
−
1
=
d
dx
(
ln
−
1
(
x
)
)
show steps
Apply
the
chain
rule
:
−
1
(
ln
(
x
)
)
2
d
dx
(
ln
(
x
)
)
=
−
1
(
ln
(
x
)
)
2
d
dx
(
ln
(
x
)
)
show steps
d
dx
(
ln
(
x
)
)
=
1
x
=
−
1
(
ln
(
x
)
)
2
·
1
x
show steps
Simplify
−
1
ln
2
(
x
)
·
1
x
:
−
1
x
ln
2
(
x
)
=
−
1
x
ln
2
(
x
)
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