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differential

differential

7 9.3
A very small change in a number used to show how fast it changes, like dy or dx
  • noun
  • /ˌdɪfəˈrɛnʃəl/
  • Specialized
translation icon : diferencial
  • In calculus, the differential represents how much a function's output changes as the input changes.
  • total differential
  • partial differential

The DX differential just tells us that X is our variable of integration that we're integrating with respect to X and not some other variable.

Examples

  • The engineer calculated the differential of the two functions to determine the slope at that point.

  • The temperature differentials must be off the scale.

  • Let me know when we have a temperature differential of ten degrees.

  • However, as Table 2 shows, we do not find a significant differential effect in this regard.

    Academic text (2013)
  • What really sets the equilibrium temperature is the density and pressure differential between water and space.

    Blog text (30)
  • We have a differential of 1.35.

  • We discuss the issue of cost differentials in the next section.

    Academic text (1992)
  • I don't think the temperature differential is enough to affect the structure that way.

  • Well, the temperature differential shot from 65 to 129 in a couple of hours.

  • The temperature differential starts at an elevated level and typically declines over time.

    Academic text (1991)

Synonyms

gradient
vsdifferential
  • Specialized
9 5.2

A slow change in amount across a distance or area

refers specifically to an instantaneous calculus rate, not gradual change
derivative
vsdifferential
  • Specialized
6 9.6

The rate a function changes at a point

is the precise calculus quantity obtained by differentiating a function
first derivative
vsdifferential
  • Specialized
1 7.9

How fast one value changes compared with another at a particular point

is the general instantaneous rate term, not stressing single differentiation
differential coefficient
vsdifferential
  • Specialized
9.1

The rate at which a curve goes up or down at one point

is the same calculus quantity but a more formal technical name

Antonyms

constant
  • Specialized
37 4.2

A value that does not change in math or science

Compounds

differential equation
  • Specialized
4 7.4

An equation that shows how a number or amount changes using its rate of change

3 6.1

A way for a doctor to tell one disease from another when symptoms are similar

differential calculus
  • Specialized
1 8.0

The part of mathematics that studies how things change and how fast, like speed or temperature change

1 9.6

An equation that shows how a value changes when two or more things change

differential cost
  • Specialized
6.9

The change in total cost when you produce one more or one less item

differential gear
  • Specialized
5.8

A set of gears that lets two wheels turn at different speeds when a car turns

differential limen
  • Specialized
9.9

The smallest change in how strong a sound, touch, or light feels that a person can notice

Study of how people differ in intelligence and personality

8.8

The smallest change in what you see, hear, or taste that a person can notice

9.9

A machine with moving parts that solves equations about how things change

5.2

A test that counts each type of white blood cell in a small blood sample

9.1

The rate at which a curve goes up or down at one point

Surface Forms

differential singular
differentials plural

Morphology

differential = differ (semi-transparent) = differ + ential

The mathematical context of 'differential' is not immediately obvious from 'differ'.

Etymology

Differential (noun) comes from the same root as different and difference, meaning 'not the same' or 'a change'. In calculus a differential is a very small change in a variable (like dy or dx), so the name literally means 'a small difference'.