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differential coefficient
In mathematics, the differential coefficient of a function ''f''(''x'') is what is now called its derivative ''df''(''x'')/''dx'', the (not necessarily constant) multiplicative factor or ''coefficient'' of the differential ''dx'' in the differential ''df''(''x'').
A ''coefficient'' is usually a constant quantity, but the ''differential coefficient'' of ''f'' is a ''constant function'' only if ''f'' is a linear function. When ''f'' is ''not'' linear, its differential coefficient is a function, call it ''f''′, ''derived'' by the differentiation of ''f'', hence, the modern term, derivative.
The older usage is now rarely seen.
Early editions of Silvanus P. Thompson's ''Calculus Made Easy'' use the older term. In his 1998 update of this text, Martin Gardner lets the first use of "differential coefficient" stand, along with Thompson's criticism of the term as a needlessly obscure phrase that should not intimidate students, and substitutes "derivative" for the remainder of the book.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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