derivative

CET-4 FREQ #22063 ★☆☆☆☆

a. 引出的, 派生的 n. 引出之物, 派生物, 衍生字

发音

US /dɪˈɹɪvətɪv/
UK /dɪˈɹɪvətɪv/
/ˈɖɛrɪveʈɪv/
/ɖɪˈraj.veʈɪv/

词形变化

derivatives 复数 derivatives more derivative 比较级 most derivative 最高级

释义与例句

n.
  1. 1.

    Something derived.

    衍生物

  2. 2.

    A word formed by derivation, such as stylish from style.

    语言学
  3. 3.

    A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.

    衍生品

    衍生产品

    衍生工具

    商务 金融
  4. 4.

    A chemical derived from another.

    派生词

    衍生物

    化学
  5. 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).

    数学

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

  6. 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.

    导数

    数学

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

  7. 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.

    数学
  8. 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.

    数学
adj.
  1. 1.

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

    派生的

    衍生的

    a derivative conveyance

    a derivative word

  2. 2.

    Imitative of the work of someone else.

  3. 3.

    Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.

    法律
  4. 4.

    Having a value that depends on an underlying asset of variable value.

    商务 金融

词汇关系

相关短语

词源

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

来源:wiktionary