# differential coefficient definition, differential coefficient meaning | English dictionary

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## differential coefficient

n     (Maths)      another name for       derivative
English Collins Dictionary - English Definition & Thesaurus
derivative
1    resulting from derivation; derived
2    based on or making use of other sources; not original or primary
3    copied from others, esp. slavishly; plagiaristic
n
4    a term, idea, etc., that is based on or derived from another in the same class
5    a word derived from another word
6      (Chem)   a compound that is formed from, or can be regarded as formed from, a structurally related compound
chloroform is a derivative of methane
7      (Maths)
a      (Also called)    differential coefficient, first derivative          the change of a function, f(x), with respect to an infinitesimally small change in the independent variable, x; the limit of [f(a + Δx)--f(a)]/Δx, at x = a, as the increment, Δx, tends to 0. Symbols: df(x)/dx, f′(x), Df(x)
the derivative of xn is nxn--1
b    the rate of change of one quantity with respect to another
velocity is the derivative of distance with respect to time
8      (Finance)   a financial instrument, such as a futures contract or option, the price of which is largely determined by the commodity, currency, share price, interest rate, etc., to which it is linked
9      (Psychoanal)   an activity that represents the expression of hidden impulses and desires by channelling them into socially acceptable forms

English Collins Dictionary - English Definition & Thesaurus

differential
1    of, relating to, or using a difference
2    constituting a difference; distinguishing
3      (Maths)   of, containing, or involving one or more derivatives or differentials
4      (Physics, engineering)   relating to, operating on, or based on the difference between two opposing effects, motions, forces, etc.
differential amplifier
n
5    a factor that differentiates between two comparable things
6      (Maths)
a    an increment in a given function, expressed as the product of the derivative of that function and the corresponding increment in the independent variable
b    an increment in a given function of two or more variables, f(x1, x2, ...x>n), expressed as the sum of the products of each partial derivative and the increment in the corresponding variable.
7    an epicyclic gear train that permits two shafts to rotate at different speeds while being driven by a third shaft
8      (Chiefly Brit)   the difference between rates of pay for different types of labour, esp. when forming a pay structure within an industry
9    (in commerce) a difference in rates, esp. between comparable labour services or transportation routes

differential calculus
n   the branch of calculus concerned with the study, evaluation, and use of derivatives and differentials
Compare       integral calculus
differential coefficient
n     (Maths)      another name for       derivative
differential equation
n   an equation containing differentials or derivatives of a function of one independent variable. A partial differential equation results from a function of more than one variable
differential gear
n   the epicyclic gear mounted in the driving axle of a road vehicle that permits one driving wheel to rotate faster than the other, as when cornering
differential geometry
n   the application of differential calculus to geometrical problems
differential operator
n   the mathematical operator del ∇, used in vector analysis, where ∇= i∂/∂x + j∂/∂y+ k∂/∂z, i, j, and k being unit vectors and ∂/∂bx, ∂/∂y, and ∂/∂z the partial derivatives of a function in x, y, and z
differential windlass
n   a windlass employing the velocity ratio incurred in unwinding from a small drum while winding onto a larger drum rotating at a common speed,   (Also called)    Chinese windlass
wage differential
n   the difference in wages between workers with different skills in the same industry or between those with comparable skills in different industries or localities

English Collins Dictionary - English Definition & Thesaurus

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