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Logarithmic derivative

From Encyclopedia of Mathematics
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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*}

How to Cite This Entry:
Logarithmic derivative. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Logarithmic_derivative&oldid=11273