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differentiation

differentiation

1 7.7
The process of finding how fast a curve changes at a point
  • noun
  • /ˌdɪfərɛnʃiˈeɪʃən/
  • Specialized
translation icon : diferenciación
  • Hip flexion velocity was defined as the angular velocity of the hip angle, determined from differentiation of displacement data using a second-order central difference algorithm.

So this is your answer for the implicit differentiation DYDX.

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Examples

  • And what that means is we're going to work out that what differentiation is, is working out the rate of change.

  • The CCSS provides a natural point from which to begin the differentiation process.

    Academic text (2015)
  • For an arbitrary power, repeated differentiation gives

    Academic text (2002)
  • The theory of implicit differentiation is often thought of as complex.

  • Social progress, as we know, consists mainly in a successive differentiation of functions, or, in simpler language, a division of labour.

    Blog text (33)
  • In fact, differentiation of patients with subclinical hypothyroidism from those that are euthyroid is difficult.

    Academic text (2002)
  • In calculus, differentiation is used to determine the slope of a curve at any given point.

  • The process of differentiation allows mathematicians to find the rate at which a function is changing.

  • Understanding differentiation is essential for solving problems related to velocity and acceleration in physics.

Synonyms

differential calculus
vsdifferentiation
  • Specialized
1 8.0

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

focuses on the specific process of finding a function's derivative

Compounds

A protein on helper T cells that helps the immune system and lets HIV enter cells

A protein on the surface of killer T cells that helps them find infected cells

Surface Forms

Morphology

differentiation = differentiate (opaque) = different + ion

The morphological process (verb -> -ion) is regular and transparent as a word-formation step.

Etymology

Differentiation comes from the root difference, meaning 'a change' or 'not the same'. In mathematics it is the process of finding a function's 'small change', so the name tells us it measures how things change.