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derivative of ln(xe^{-7x})
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d
dx
(
ln
(
xe
−
7
x
)
)
=
1
x
−
7
Show Steps
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d
dx
(
ln
(
xe
−
7
x
)
)
=
1
x
−
7
steps
d
dx
(
ln
(
xe
−
7
x
)
)
show steps
Simplify
ln
(
xe
−
7
x
)
:
ln
(
x
)
−
7
x
=
d
dx
(
ln
(
x
)
−
7
x
)
Apply
the
Sum
/
Difference
Rule
:
(
f
±
g
)
′
=
f
′
±
g
′
=
d
dx
(
ln
(
x
)
)
−
d
dx
(
7
x
)
show steps
d
dx
(
ln
(
x
)
)
=
1
x
show steps
d
dx
(
7
x
)
=
7
=
1
x
−
7
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