Definition of DERIVATIVE

derivative

Meanings

Plural: derivatives

Noun

  • the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
  • a compound obtained from, or regarded as derived from, another compound
  • a financial instrument whose value is based on another security
  • (linguistics) a word that is derived from another word
    • "`electricity' is a derivative of `electric'"
  • Something derived.
  • A word that derives from another one.
  • A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
  • A chemical derived from another.
  • One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function.
  • The derived function of f(x): the function giving the instantaneous rate of change of f; equivalently, the function giving the slope of the line tangent to the graph of f. Written f'(x) or (df)/(dx) in Leibniz's notation, ̇f(x) in Newton's notation (the latter used particularly when the independent variable is time).
  • One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function.
  • The value of such a derived function for a given value of its independent variable: the rate of change of a function at a point in its domain.
  • One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function.
  • Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.
  • One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function.
  • The linear operator that maps functions to their derived functions, usually written D; the simplest differential operator.

Adjective Satellite

  • resulting from or employing derivation
    • "a derivative process"
    • "a highly derivative prose style"

Adj

  • Obtained by derivation; not radical, original, or fundamental.
  • Imitative of the work of someone else.
  • Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
  • Having a value that depends on an underlying asset of variable value.

Origin / Etymology

From Middle French dérivatif, from Latin dērīvātus, perfect passive participle of dērīvō (“to derive”). Related to derive; by surface analysis, derive + -ative.

Synonyms

contingent claim, derivate, derivative instrument, derived function, derived word, descendant, differential, differential coefficient, first derivative, formative, offshoot, reflex, spinoff

Antonyms

ancestor, antonym(s) of, coincidental, etymon, root

Scrabble Score: 17

derivative is a valid Scrabble (US) TWL word
derivative is a valid Scrabble Word in Merriam-Webster MW Dictionary
derivative is a valid Scrabble Word in International Collins CSW Dictionary

Words With Friends Score: 19

derivative is a valid Words With Friends word