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Formula:1641

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Digital Library of Mathematical Functions ID 4.7.E4

d n d z n โก Ln โก z = ( - 1 ) n - 1 โข ( n - 1 ) ! โข z - n . derivative ๐‘ง ๐‘› multivalued-natural-logarithm ๐‘ง superscript 1 ๐‘› 1 ๐‘› 1 superscript ๐‘ง ๐‘› {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n}}{{\mathrm{d}z}^{n}}% \operatorname{Ln}z=(-1)^{n-1}(n-1)!z^{-n}.}}


Constraint(s)

Symbols List

  • d f d x derivative ๐‘“ ๐‘ฅ {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • ! {\displaystyle{\displaystyle!}} :
  • Ln โก z multivalued-natural-logarithm ๐‘ง {\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}} : general logarithm function
  • n ๐‘› {\displaystyle{\displaystyle n}} : integer
  • z ๐‘ง {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:41.
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