derivative
nounEtymology From Middle French dérivatif, from Latin dērīvātus, perfect passive participle of dērīvō (“to derive”). Related to derive; by surface analysis, derive + -ative.
8 senses
- 1Something derived.
- 2A word formed by derivation, such as stylish from style.
- 3A financial instrument whose value depends on the…
- 4A chemical derived from another.
- 5The derived function of f(x): the function giving the…
- 6The value of such a derived function for a given value…
- 7Any of several related generalizations of the…
- 8The linear operator that maps functions to their derived…
Something derived.
Human sciences, Linguistics, Sciences A word formed by derivation, such as stylish from style.
Chemistry, Natural sciences, Physical sciences A chemical derived from another.
› One of the two fundamental objects of study…
Calculus, Mathematics, Sciences 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).
Of a function of a single variable f(x)
- The derivative of x² is 2x; if f(x)#61;x², then f'(x)#61;2x
Calculus, Mathematics, Sciences 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.
Calculus, Mathematics, Sciences Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.
Of more general classes of functions
Calculus, Mathematics, Sciences The linear operator that maps functions to their derived functions, usually written D; the simplest differential operator.
- Synonyms
- derivate, offshoot, spinoff, derived word, contingent claim, derived function
- Antonyms
- coincidental, antonym(s) of
- Derived terms
41 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- Hyponyms
- option, warrant, swap, convertible security, convertible, convertible bond, credit default swap, credit line note, financial futures contract, financial future, total return swap