English Explanatory Dictionary

derivative

English dictionary entry

Meanings

adj
  1. Obtained by derivation; not radical, original, or fundamental.
  2. Imitative of the work of someone else.
  3. Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
  4. Having a value that depends on an underlying asset of variable value.
noun
  1. Something derived.
  2. A word formed by derivation, such as stylish from style.
  3. A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
  4. A chemical derived from another.
  5. 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.
  6. 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).
  7. 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.
  8. Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.
  9. The linear operator that maps functions to their derived functions, usually written D; the simplest differential operator.

Pronunciation

/dɪˈɹɪvətɪv/ en-us-derivative.ogg /ˈɖɛrɪveʈɪv/ /ɖɪˈraj.veʈɪv/

Word forms

derivative more derivative most derivative derivatives

Etymology

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

Synonyms

derivate derived word contingent claim derived function offshoot spinoff

Antonyms

coincidental antonym(s) of root

Derived words

derivative hybrid derivative instrument derivatively derivativeness derivative work derivativity Fréchet derivative inderivative inderivatively nonderivative underivative derivatography multiderivative aeroderivative arithmetic derivative Boolean derivative Brzozowski derivative coderivative derivative 22 syndrome directional derivative event derivative exterior derivative first derivative fluoroderivative Gâteaux derivative haemoderivative hemoderivative hydroderivative hydroxyderivative iododerivative isoderivative Jackson derivative leucoderivative logarithmic derivative monoderivative nitroderivative oxyderivative partial derivative photoderivative polyderivative q-derivative quasi-derivative Schwarzian derivative second derivative shareholders' derivative action subderivative superderivative symmetric derivative third derivative time derivative total derivative weak derivative

Translations

Asturian: derivada Bulgarian: произво́дна Catalan: derivada French: dérivée Galician: derivada Italian: derivata Portuguese: derivada Spanish: derivada Vietnamese: đạo hàm
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