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The derivative of the logarithm of a given function.

let $f:[a,b]\to\mathbb R$ be a positive function. Then its logarithmic derivative equals
\begin{equation*}
(\ln f)' = \frac{f'}{f}.
\end{equation*}

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How to Cite This Entry:
Logarithmic derivative. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Logarithmic_derivative&oldid=29128

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