In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula
where f ′ is the derivative of f.
When f is a function f(x) of a real variable x, and takes real, strictly positive values, this is equal to the derivative of ln(f); or, the derivative of the natural logarithm of f. This follows directly from the chain rule.
Read more about Logarithmic Derivative: Basic Properties, Computing Ordinary Derivatives Using Logarithmic Derivatives, Integrating Factors, Complex Analysis, The Multiplicative Group, Examples
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