Logarithm Derivative
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A Logarithm Derivative is a derivative of a logarithm function.
- See: Chain Rule, Natural Logarithm.
References
2015
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/logarithmic_derivative Retrieved:2015-2-14.
- In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula :[math]\displaystyle{ \frac{f'}{f} \! }[/math]
where [math]\displaystyle{ f' }[/math] is the derivative of f. Intuitively, this is the infinitesimal relative change in f ; that is, the infinitesimal absolute change in f, namely [math]\displaystyle{ f', }[/math] scaled by the current value 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 natural logarithm of f. This follows directly from the chain rule.
- In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula :[math]\displaystyle{ \frac{f'}{f} \! }[/math]