derivative
Language: English
Part of speech: noun
Pronunciation: ipa: /dɪˈɹɪvətɪv/
note: with laxing from derive
ipa: /ˈɖɛrɪveʈɪv/
note: without laxing
ipa: /ɖɪˈraj.veʈɪv/
Forms: form: derivatives
Etymology: From Middle French dérivatif, from Latin dērīvātus, perfect passive participle of dērīvō (“to derive”). Related to derive; by surface analysis, derive + -ative.
Senses: glosses: Something derived.
topics: human-sciences
linguistics
sciences
antonyms: root
glosses: A word formed by derivation, such as stylish from style.
topics: business
finance
glosses: A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
topics: chemistry
natural-sciences
physical-sciences
glosses: A chemical derived from another.
examples: text: The derivative of x² is 2x; if f(x)#61;x², then f'(x)#61;2x
topics: calculus
mathematics
sciences
glosses: 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).
raw_tags: of a function of a single variable f(x)
examples: text: The derivative of f(x)#61;x³ at x#61;2 is 12.
topics: calculus
mathematics
sciences
glosses: 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.
topics: calculus
mathematics
sciences
glosses: 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.
raw_tags: of more general classes of functions
topics: calculus
mathematics
sciences
glosses: 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.
qualifier: generally
Synonyms: sense: something derived
word: derivate
sense: something derived
word: offshoot
sense: something derived
word: spinoff
topics: linguistics
human-sciences
sciences
word: derivate
topics: linguistics
human-sciences
sciences
word: derived word
topics: finance
business
word: contingent claim
sense: in analysis: function
word: derived function
Hyponyms: topics: finance
business
word: option
topics: finance
business
word: warrant
topics: finance
business
word: swap
topics: finance
business
word: convertible security
topics: finance
business
word: convertible
topics: finance
business
word: convertible bond
topics: finance
business
word: credit default swap
topics: finance
business
word: credit line note
topics: finance
business
word: financial futures contract
topics: finance
business
word: financial future
topics: finance
business
word: total return swap
Derived terms: aeroderivative
arithmetic derivative
Boolean derivative
Brzozowski derivative
coderivative
derivative 22 syndrome
derivatography
directional derivative
event derivative
exterior derivative
first derivative
fluoroderivative
Gâteaux derivative
haemoderivative
hemoderivative
hydroderivative
hydroxyderivative
iododerivative
isoderivative
Jackson derivative
leucoderivative
logarithmic derivative
monoderivative
multiderivative
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