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Logarithmic Derivative


The logarithmic derivative of a function f is defined as the derivative of the logarithm of a function. For example, the digamma function is defined as the logarithmic derivative of the gamma function,

 Psi(z)=d/(dz)lnGamma(z).

See also

Derivative, Digamma Function, Logarithm, Polygamma Function

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References

Zwillinger, D. (Ed.). "Logarithmic Derivative." §6.11.8 in CRC Standard Mathematical Tables and Formulae. Boca Raton, FL: CRC Press, p. 496, 1995.

Referenced on Wolfram|Alpha

Logarithmic Derivative

Cite this as:

Weisstein, Eric W. "Logarithmic Derivative." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LogarithmicDerivative.html

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