derivative

名词 n. 形容词 adj.
中文释义
英 /dɪˈɹɪvətɪv/    美 /dɪˈɹɪvətɪv/

英文释义

名词 n.
  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.; 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
  6. 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.
  7. 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.
  8. 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.
形容词 adj.
  1. Obtained by derivation; not radical, original, or fundamental.
    — a derivative conveyance
  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. 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.

词形变化

more derivative comparative most derivative superlative derivatives plural

词汇关系

近义词
derivate derived word contingent claim derived function
反义词
coincidental antonym(s) of
下位词
option warrant swap convertible security convertible convertible bond credit default swap credit line note financial futures contract financial future total return swap
衍生词
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

词源

词源 1
From Middle French dérivatif, from Latin dērīvātus, perfect passive participle of dērīvō (“to derive”). Related to derive; by surface analysis, derive + -ative.
词源 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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