Natürlicher Logarithmus/Ableitung/Fakt

Ableitung des natürlichen Logarithmus

\ln \colon \mathbb {R} _{+}\longrightarrow \mathbb {R} ,\,x\longmapsto \ln x,

ist

$\ln \!'\colon \mathbb {R} _{+}\longrightarrow \mathbb {R} ,\,x\longmapsto {\frac {1}{x}}.$

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