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  2. Logarithmic differentiation - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_differentiation

    In calculus, logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic derivative of a function f, [1] (⁡) ′ = ′ ′ = (⁡) ′.

  3. Logarithmic derivative - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_derivative

    In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula ′ where ′ is the derivative of f. [1] Intuitively, this is the infinitesimal relative change in f ; that is, the infinitesimal absolute change in f, namely f ′ , {\displaystyle f',} scaled by the current ...

  4. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    Download as PDF; Printable version ... is known as logarithmic differentiation. ... the above formulas for logarithms of products and powers do not generalize to the ...

  5. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    Logarithmic differentiation is a technique which uses logarithms and its differentiation rules to simplify certain expressions before actually applying the derivative. [ citation needed ] Logarithms can be used to remove exponents, convert products into sums, and convert division into subtraction — each of which may lead to a simplified ...

  6. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    In these limits, the infinitesimal change is often denoted or .If () is differentiable at , (+) = ′ ().This is the definition of the derivative.All differentiation rules can also be reframed as rules involving limits.

  7. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    Logarithms can be used to make calculations easier. For example, two numbers can be multiplied just by using a logarithm table and adding. These are often known as logarithmic properties, which are documented in the table below. [2] The first three operations below assume that x = b c and/or y = b d, so that log b (x) = c and log b (y) = d.

  8. Integration by substitution - Wikipedia

    en.wikipedia.org/wiki/Integration_by_substitution

    Thus, the formula can be read from left to right or from right to left in order to simplify a given integral. When used in the former manner, it is sometimes known as u -substitution or w -substitution in which a new variable is defined to be a function of the original variable found inside the composite function multiplied by the derivative of ...

  9. Differintegral - Wikipedia

    en.wikipedia.org/wiki/Differintegral

    Logarithmic differentiation; ... of the Cauchy formula for repeated integration to ... of fractional integration and fractional differentiation" (PDF).