derivative

Plural: derivatives

Noun

• the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
• a compound obtained from, or regarded as derived from, another compound
• a financial instrument whose value is based on another security
• (linguistics) a word that is derived from another word
  • "`electricity' is a derivative of `electric'"
• Something derived.
• A word that derives from another one.
• A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
• A chemical derived from another.
• 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).
• 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.
• 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.
• 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.

Adjective Satellite

• resulting from or employing derivation
  • "a derivative process"
  • "a highly derivative prose style"

Adj

• Obtained by derivation; not radical, original, or fundamental.
• Imitative of the work of someone else.
• Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
• Having a value that depends on an underlying asset of variable value.

Examples

• a derivative conveyance
• a derivative word
• The derivative of f(x)#61;x³ at x#61;2 is 12.
• The derivative of x² is 2x; if f(x)#61;x², then f'(x)#61;2x

Synonyms

derivative instrument, derived function, differential, differential coefficient, first derivative, contingent claim, derivate, derived word, descendant#Noun, formative, offshoot, reflex, spinoff

Antonyms

ancestor, antonym(s) of, coincidental, etymon, root

Anagrams of derivative