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  2. Logarithmic derivative - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_derivative

    Generalising in another direction, the logarithmic derivative of a power (with constant real exponent) is the product of the exponent and the logarithmic derivative of the base: ′ = ′ = ′, just as the logarithm of a power is the product of the exponent and the logarithm of the base.

  3. Logarithmic differentiation - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_differentiation

    It can also be useful when applied to functions raised to the power of variables or functions. Logarithmic differentiation relies on the chain rule as well as properties of logarithms (in particular, the natural logarithm, or the logarithm to the base e) to transform products into sums and divisions into subtractions.

  4. 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 ...

  5. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    The identities of logarithms can be used to approximate large numbers. Note that log b (a) + log b (c) = log b (ac), where a, b, and c are arbitrary constants. Suppose that one wants to approximate the 44th Mersenne prime, 2 32,582,657 −1. To get the base-10 logarithm, we would multiply 32,582,657 by log 10 (2), getting 9,808,357.09543 ...

  6. Power rule - Wikipedia

    en.wikipedia.org/wiki/Power_rule

    The power rule for differentiation was derived by Isaac Newton and Gottfried Wilhelm Leibniz, each independently, for rational power functions in the mid 17th century, who both then used it to derive the power rule for integrals as the inverse operation. This mirrors the conventional way the related theorems are presented in modern basic ...

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    Find answers to the latest online sudoku and crossword puzzles that were published in USA TODAY Network's local newspapers.

  8. ‘Blogs’ by Huffington Post | Readymag

    testkitchen.huffingtonpost.com/islamophobia-blogs

    A comprehensive list of discriminatory acts against American Muslims might be impossible, but The Huffington Post wants to document this deplorable wave of hate using news reports and firsthand accounts.

  9. Additional Mathematics - Wikipedia

    en.wikipedia.org/wiki/Additional_Mathematics

    'Exponentials and Logarithms’ content, which develops the growth and decay content and the graphs section of GCSE ' Sequences ' content, which uses subscript notation to support the iterative work on numerical methods.

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