Definitions for differential coefficient
dif·fer·en·tial co·ef·fi·cient

Princeton's WordNetRate this definition:5.0 / 1 vote

1. derived function, derivative, differential coefficient, differential, first derivativenoun

   the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx

WikipediaRate this definition:0.0 / 0 votes

1. Differential coefficient

   In physics, 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.

ChatGPTRate this definition:0.0 / 0 votes

1. differential coefficient

   The differential coefficient, also known as the derivative, measures the instantaneous rate of change of a function at a specific point. It indicates how the function behaves as its input variable changes by infinitesimally small amounts near that point.

WikidataRate this definition:4.0 / 1 vote

1. Differential coefficient

   In mathematics, the differential coefficient of a function f(x) is what is now called its derivative df(x)/dx, the 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 lineive#Differen, hence, the modern term, derivative. Early editions of Silvanus P. Thompson's Calculus Made Easy use the older term. 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.

Matched Categories

1. • Calculation

How to pronounce differential coefficient?

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How to say differential coefficient in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of differential coefficient in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of differential coefficient in Pythagorean Numerology is: 6

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=differential coefficient
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Differential_Coefficient
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=differential coefficient