# Derivative definition

dĭ-rĭvə-tĭv
Frequency:
The definition of derivative is something that imitates or is based off of something else.

When artwork is heavily influenced by Monet and imitates Monet's style, this is an example of artwork that would be described as derivative.

Derivative means something that is based on another source.

A movie that is based on and inspired by an earlier film is an example of something that is derivative.

noun
Something derived.
noun
Derived.
Of derivation.

A highly derivative prose style.

A financial instrument that derives its value from another more fundamental asset, as a commitment to buy a bond for a certain sum on a certain date.
noun
The limiting value of the ratio of the change in a function to the corresponding change in its independent variable.
noun
The instantaneous rate of change of a function with respect to its variable.
noun
The slope of the tangent line to the graph of a function at a given point.
noun
Using or taken from other sources; not original.
Something derived.
noun
(chem.) A substance derived from, or of such composition and properties that it may be considered as derived from, another substance by chemical change, esp. by the substitution of one or more elements or radicals.
noun
(finance) A contract, as an option or futures contract, whose value depends on the value of the securities, commodities, etc. that form the basis of the contract.
noun
(linguis.) A word formed from another or others by derivation.
noun
(math.) The limiting value of a rate of change of a function with respect to a variable; the instantaneous rate of change, or slope, of a function (Ex.: the derivative of y with respect to x, often written dy/dx, is 3 when y = 3x)
noun
In calculus, the slope of the tangent line to a curve at a particular point on the curve. Since a curve represents a function, its derivative can also be thought of as the rate of change of the corresponding function at the given point. Derivatives are computed using differentiation.
Obtained by derivation; not radical, original, or fundamental.

A derivative conveyance; a derivative word.

Imitative of the work of someone else.
(law, copyright law) Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
(finance) Having a value that depends on an underlying asset of variable value.
Lacking originality.
Something derived.
noun
(linguistics) A word that derives from another one.
noun
(finance) A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
noun
(chemistry) A chemical derived from another.
noun
(calculus) The derived function of a function.

The derivative of is.

noun
(calculus) The value of this function for a given value of its independent variable.

The derivative of at x = 3 is .

noun
(finance): option, warrant, swap, convertible security, convertible, convertible bond, credit default swap, credit line note, financial futures contract, financial future, total return swap.
hyponyms
Resulting from or employing derivation.

A derivative word; a derivative process.

(linguistics) A word formed from another by derivation, such as electricity from electric.
noun
(chemistry) A compound derived or obtained from another and containing essential elements of the parent substance.
noun

Singular:
derivative
Plural:

## Origin of derivative

• From Middle French dérivatif, from Latin derivatus; see derive.