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  2. 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 ...

  3. youtube-dl - Wikipedia

    en.wikipedia.org/wiki/Youtube-dl

    youtube-dl <url> The path of the output can be specified as: (file name to be included in the path) youtube-dl -o <path> <url> To see the list of all of the available file formats and sizes: youtube-dl -F <url> The video can be downloaded by selecting the format code from the list or typing the format manually: youtube-dl -f <format/code> <url>

  4. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    The most general power rule is the functional power rule: for any functions and , ′ = (⁡) ′ = (′ + ′ ⁡), wherever both sides are well defined. Special cases: If f ( x ) = x a {\textstyle f(x)=x^{a}} , then f ′ ( x ) = a x a − 1 {\textstyle f'(x)=ax^{a-1}} when a {\textstyle a} is any nonzero real number and x {\textstyle x} is ...

  5. Comparison of YouTube downloaders - Wikipedia

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  6. Power law - Wikipedia

    en.wikipedia.org/wiki/Power_law

    The equivalence of power laws with a particular scaling exponent can have a deeper origin in the dynamical processes that generate the power-law relation. In physics, for example, phase transitions in thermodynamic systems are associated with the emergence of power-law distributions of certain quantities, whose exponents are referred to as the ...

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  9. Talk:Power rule - Wikipedia

    en.wikipedia.org/wiki/Talk:Power_rule

    Not endlessly many. And if you are going to give examples, then you need examples of integration as well as differentiation. Deleted more strange stuff; These results can be verified with an understanding of Newton's difference quotient and the binomial theorem. One can also derive the General Power Rule via the Chain Rule.

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