The logarithmic derivative of a function 
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,
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Logarithmic Derivative
See also
Derivative, Digamma Function, Logarithm, Polygamma FunctionExplore with Wolfram|Alpha
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 DerivativeCite this as:
Weisstein, Eric W. "Logarithmic Derivative." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LogarithmicDerivative.html