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derivative of ln(cosx)
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d
dx
(
ln
(
cos
(
x
)
)
)
=
−
tan
(
x
)
Show Steps
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d
dx
(
ln
(
cos
(
x
)
)
)
=
−
tan
(
x
)
steps
d
dx
(
ln
(
cos
(
x
)
)
)
show steps
Apply
the
chain
rule
:
1
cos
(
x
)
d
dx
(
cos
(
x
)
)
=
1
cos
(
x
)
d
dx
(
cos
(
x
)
)
show steps
d
dx
(
cos
(
x
)
)
=
−
sin
(
x
)
=
1
cos
(
x
)
(
−
sin
(
x
)
)
show steps
Simplify
1
cos
(
x
)
(
−
sin
(
x
)
)
:
−
tan
(
x
)
=
−
tan
(
x
)
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