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On certain formulae for Repeated Differentiation
Published online by Cambridge University Press: 20 January 2009
Extract
In many questions of analysis relating to the theory of plane curves, it is convenient to be able to obtain quickly the expansions of and of These may be obtained as follows:—
By an obvious extension of the theorem of Leibnitz we have
where d 1,d 2,…d n differentiate y 1, y 2,…y n respectively.
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- Copyright © Edinburgh Mathematical Society 1884