**differential coefficient definition, differential coefficient meaning** | English dictionary

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## differential coefficient

**n**(Maths)

**another name for**

**→ derivative**

**derivative**

**adj**

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

chloroform is a derivative of methane

7 (Maths)

a (Also called)

the derivative of xn is nxn--1

**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

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

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**derivatively****adv****differential**

**adj**

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

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

**See also****→ differential gear** 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

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**differentially****adv****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

## differential

1

**adj**diacritical, discriminative, distinctive, distinguishing 2

**n**amount of difference, difference, discrepancy, disparityAdvertising