Dictionary:Leibnitz rule

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{{#category_index:L|Leibnitz rule}} (līb’ nits) A formula for the nth derivative of the product of two functions f and g:

(dn(fg))/(dxn)= ∑ k[n:k] (dnkf)/(dxnk) (dkg)/(dxk),


where [n:K]=n!/[(nK)!K!]. Named for Gottfried Wilhelm Leibnitz (1646–1716), German mathematician.