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derive verb

  /dɪˈɹaɪv/
  • (transitive) To obtain or receive (something) from something else.
  • (transitive, linguistics) To find the derivation of (a word or phrase).
  • (transitive, chemistry) To create (a compound) from another by means of a reaction.
afleiden
  • (transitive, logic) To deduce (a conclusion) by reasoning.
afleiden, deduceren
  • (intransitive) To originate or stem (from).
ontstaan

derivative noun

  /dɪˈɹɪvətɪv/ , /ɖɪˈraj.veʈɪv/ , /ˈɖɛrɪveʈɪv/
  • Something derived.
afgeleide, derivaat
  • (calculus) 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.
  • (of a function of a single variable f(x)) 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 \frac{df}{dx} in Leibniz's notation, \dot{f}(x) in Newton's notation (the latter used particularly when the independent variable is time).
afleiding
  • (of more general classes of functions) Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.
  • 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.
afgeleide

derivation noun

  /ˌdɛ.ɹɪˈveɪ.ʃ(ə)n/
  • (mathematics, calculus) The process of application of the derivative operator to a function, yielding another function called the derived function of the first.
afleiding
  • (grammar) Forming a new word by changing the base of another word or by adding affixes to it.
afleiding, derivatie
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