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Derivative

//dɪˈɹɪvətɪv// adj, noun

Definitions

Adjective
  1. 1
    Obtained by derivation; not radical, original, or fundamental.

    "a derivative conveyance"

  2. 2
    Imitative of the work of someone else.

    "No, I really felt it was very derivative. To me it it looked like it was straight out of Diane Arbus, but it had none of the wit."

  3. 3
    Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
  4. 4
    Having a value that depends on an underlying asset of variable value.
Adjective
  1. 1
    resulting from or employing derivation wordnet
Noun
  1. 1
    Something derived.
  2. 2
    the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx wordnet
  3. 3
    A word formed by derivation, such as stylish from style.
  4. 4
    (linguistics) a word that is derived from another word wordnet
  5. 5
    A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
Show 7 more definitions
  1. 6
    a financial instrument whose value is based on another security wordnet
  2. 7
    A chemical derived from another.
  3. 8
    a compound obtained from, or regarded as derived from, another compound wordnet
  4. 9
    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).

    "The derivative of x² is 2x; if f(x)#61;x², then f'(x)#61;2x"

  5. 10
    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.

    "The derivative of f(x)#61;x³ at x#61;2 is 12."

  6. 11
    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.
  7. 12
    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.

Etymology

Etymology 1

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

Etymology 2

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

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