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Natural logarithm/Derivative/Fact
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Derivative of natural logarithm
The
derivative
of the
natural logarithm
ln
:
R
+
⟶
R
,
x
⟼
ln
x
,
{\displaystyle \ln \colon \mathbb {R} _{+}\longrightarrow \mathbb {R} ,x\longmapsto \ln x,}
is
ln
′
:
R
+
⟶
R
,
x
⟼
1
x
.
{\displaystyle \ln \!'\colon \mathbb {R} _{+}\longrightarrow \mathbb {R} ,x\longmapsto {\frac {1}{x}}.}
Proof
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