What does derivative mean?

Definitions for derivative
dɪˈrɪv ə tɪvde·riv·a·tive

This dictionary definitions page includes all the possible meanings, example usage and translations of the word derivative.

Princeton's WordNet

  1. derived function, derivative, differential coefficient, differential, first derivativenoun

    the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx

  2. derivativenoun

    a compound obtained from, or regarded as derived from, another compound

  3. derivative instrument, derivativenoun

    a financial instrument whose value is based on another security

  4. derivativeadjective

    (linguistics) a word that is derived from another word

    "`electricity' is a derivative of `electric'"

  5. derivativeadjective

    resulting from or employing derivation

    "a derivative process"; "a highly derivative prose style"

GCIDE

  1. Derivativeadjective

    Hence, unoriginal (said of art or other intellectual products.

Wiktionary

  1. derivativenoun

    Something derived.

  2. derivativenoun

    A word that derives from another one.

  3. derivativenoun

    A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.

  4. derivativenoun

    A chemical derived from another.

  5. derivativenoun

    The derived function of a function.

    The derivative of uE0006894uE001 is uE0006895uE001

  6. derivativenoun

    The value of this function for a given value of its independent variable.

    The derivative of uE0006896uE001 at x = 3 is uE0006897uE001.

  7. derivativeadjective

    Imitative of the work of someone else.

  8. derivativeadjective

    Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.

  9. derivativeadjective

    Having a value that depends on an underlying asset of variable value.

  10. derivativeadjective

    Lacking originality.

  11. Etymology: Middle English, from dérivatif and derivatus; see derive.

Samuel Johnson's Dictionary

  1. Derivativeadjective

    Derived or taken from another.

    Etymology: derivativus, Latin.

    As it is a derivative perfection, so it is a distinct kind of perfection from that which is in God. Matthew Hale, Origin of Mank.

  2. Derivativenoun

    The thing or word derived or taken from another.

    Etymology: from the adjective.

    For honour,
    ’Tis a derivative from me to mine,
    And only that I stand for. William Shakespeare, Winter’s Tale.

    The word honestus originally and strictly signifies no more than creditable, and is but a derivative from honour, which signifies credit or honour. Robert South, Sermons.

Wikipedia

  1. Derivative

    In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For this reason, the derivative is often described as the "instantaneous rate of change", the ratio of the instantaneous change in the dependent variable to that of the independent variable. Derivatives can be generalized to functions of several real variables. In this generalization, the derivative is reinterpreted as a linear transformation whose graph is (after an appropriate translation) the best linear approximation to the graph of the original function. The Jacobian matrix is the matrix that represents this linear transformation with respect to the basis given by the choice of independent and dependent variables. It can be calculated in terms of the partial derivatives with respect to the independent variables. For a real-valued function of several variables, the Jacobian matrix reduces to the gradient vector. The process of finding a derivative is called differentiation. The reverse process is called antidifferentiation. The fundamental theorem of calculus relates antidifferentiation with integration. Differentiation and integration constitute the two fundamental operations in single-variable calculus.

ChatGPT

  1. derivative

    The derivative of a function at a specific point is the rate at which the function is changing at that point. Mathematically, it is expressed as the limit of the difference quotient of the function for a given variable as it approaches zero. It is a fundamental concept in calculus and provides information about the slope of the tangent line to the graph of the function at a particular point.

Webster Dictionary

  1. Derivativeadjective

    obtained by derivation; derived; not radical, original, or fundamental; originating, deduced, or formed from something else; secondary; as, a derivative conveyance; a derivative word

  2. Derivativenoun

    that which is derived; anything obtained or deduced from another

  3. Derivativenoun

    a word formed from another word, by a prefix or suffix, an internal modification, or some other change; a word which takes its origin from a root

  4. Derivativenoun

    a chord, not fundamental, but obtained from another by inversion; or, vice versa, a ground tone or root implied in its harmonics in an actual chord

  5. Derivativenoun

    an agent which is adapted to produce a derivation (in the medical sense)

  6. Derivativenoun

    a derived function; a function obtained from a given function by a certain algebraic process

  7. Derivativenoun

    a substance so related to another substance by modification or partial substitution as to be regarded as derived from it; thus, the amido compounds are derivatives of ammonia, and the hydrocarbons are derivatives of methane, benzene, etc

  8. Etymology: [L. derivativus: cf. F. drivatif.]

Wikidata

  1. Derivative

    In calculus, a branch of mathematics, the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's instantaneous velocity. The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. Informally, the derivative is the ratio of the infinitesimal change of the output over the infinitesimal change of the input producing that change of output. For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point. In higher dimensions, the derivative of a function at a point is a linear transformation called the linearization. A closely related notion is the differential of a function. The process of finding a derivative is called differentiation. The reverse process is called antidifferentiation. The fundamental theorem of calculus states that antidifferentiation is the same as integration. Differentiation and integration constitute the two fundamental operations in single-variable calculus.

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Numerology

  1. Chaldean Numerology

    The numerical value of derivative in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of derivative in Pythagorean Numerology is: 7

Examples of derivative in a Sentence

  1. Toronto Dominion:

    This was primarily driven by reductions in leverage, strategic adjustments in the bank's business and geographic perimeter and lower derivative volumes, together with wider industry developments.

  2. Federal Aviation Administration:

    The FAA enjoys a good working relationship with CAAC and we continue to work together to develop a path to work towards certification of the derivative model of the ARJ-21 and, possibly, the C919.

  3. The New York Times:

    Witlessly derivative, a grab-bag of generic work-life advice.

  4. Zhou Liang:

    Structured products could be quite tricky, you don't know how much you've paid for those expensive derivative transactions. The prospects of high returns, could be quite elusive.

  5. Liu Wencai:

    Over the past year, we've seen huge foreign inflows into China's bond and stock market, and that will also boost demand for financial derivative tools.

Popularity rank by frequency of use

derivative#10000#10442#100000

Translations for derivative

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"derivative." Definitions.net. STANDS4 LLC, 2024. Web. 26 May 2024. <https://www.definitions.net/definition/derivative>.

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