Difference between revisions of "Logarithmic derivative"
From Encyclopedia of Mathematics
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The derivative of the logarithm of a given function. | 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*} | |
Latest revision as of 18:58, 7 December 2012
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
Logarithmic derivative. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Logarithmic_derivative&oldid=11273