# Derivative vs. Warrant — What's the Difference?

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## Definitions

#### 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.

#### Warrant➦

A document issued by a legal or government official authorizing the police or another body to make an arrest, search premises, or carry out some other action relating to the administration of justice
An extradition warrant
Magistrates issued a warrant for his arrest

#### Derivative➦

Resulting from or employing derivation
A derivative word.
A derivative process.

#### Warrant➦

Justification or authority for an action, belief, or feeling
There is no warrant for this assumption

#### Derivative➦

Copied or adapted from others
A highly derivative prose style.

#### Warrant➦

An official certificate of appointment issued to an officer of lower rank than a commissioned officer.
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#### Derivative➦

Something derived.

#### Warrant➦

Justify or necessitate (a course of action)
The employees feel that industrial action is warranted

#### Derivative➦

(Linguistics) A word formed from another by derivation, such as electricity from electric.

#### Warrant➦

Officially affirm or guarantee
The vendor warrants the accuracy of the report

#### Derivative➦

The limiting value of the ratio of the change in a function to the corresponding change in its independent variable.

#### Warrant➦

(Law) A judicial writ authorizing the search or seizure of property, arrest of a person, or the execution of a legal judgment.
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#### Derivative➦

The instantaneous rate of change of a function with respect to its variable.

#### Warrant➦

A voucher authorizing payment or receipt of money.

#### Derivative➦

The slope of the tangent line to the graph of a function at a given point. Also called differential coefficient, fluxion.

#### Warrant➦

An option to buy stock at a specified price from an issuing company.

#### Derivative➦

(Chemistry) A compound derived or obtained from another and containing essential elements of the parent substance.

#### Warrant➦

Justification for an action or a belief; grounds
"The difficulty of predicting the future is no warrant to ignore it" (Brian Hayes).

#### Derivative➦

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.

#### Warrant➦

Something that provides assurance or confirmation; a guarantee or proof
"The kind of uncertainties and ambiguities ... which may damage [his] essays ... are often a warrant of authenticity in [his] fiction" (John Edward Hardy).

#### Derivative➦

Obtained by derivation; not radical, original, or fundamental.
A derivative conveyance
A derivative word

#### Warrant➦

Authorization or certification; sanction, as given by a superior.

#### Derivative➦

Imitative of the work of someone else.

#### Warrant➦

A warrant officer.

#### Derivative➦

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

#### Warrant➦

A certificate of appointment given to a warrant officer.

#### Derivative➦

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

#### Warrant➦

To provide adequate grounds for; justify or require
What could he have done that would warrant such a punishment?.

#### Derivative➦

Lacking originality.

#### Warrant➦

To guarantee (a product).

#### Derivative➦

Something derived.

#### Warrant➦

To guarantee (a purchaser) indemnification against damage or loss.

#### Derivative➦

(linguistics) A word that derives from another one.

#### Warrant➦

(Law) To guarantee clear title to (real property).

#### Derivative➦

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

#### Warrant➦

Authorization or certification; a sanction, as given by a superior.

#### Derivative➦

(chemistry) A chemical derived from another.

#### Warrant➦

(countable) Something that provides assurance or confirmation; a guarantee or proof.
A warrant of authenticity; a warrant for success

#### Derivative➦

(calculus) 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.

#### Warrant➦

(countable) An order that serves as authorization; especially a voucher authorizing payment or receipt of money.

#### Derivative➦

The derived function of $f\left(x\right)$: 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 $f\text{'}\left(x\right)$ or $\frac\left\{df\right\}\left\{dx\right\}$ in Leibniz's notation, $\dot\left\{f\right\}\left(x\right)$ in Newton's notation (the latter used particularly when the independent variable is time). Category:en:Functions
The derivative of $x^2$ is $2x$; if $f\left(x\right) = x^2$, then $f\text{'}\left(x\right) = 2x$

#### Warrant➦

An option, usually issued together with another security and with a term at issue greater than a year, to buy other securities of the issuer.

#### Derivative➦

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 $f\left(x\right)=x^3$ at $x=2$ is 12.

#### Warrant➦

A judicial writ authorizing an officer to make a search, seizure, or arrest, or to execute a judgment.
An arrest warrant issued by the court

#### Derivative➦

(Of more general classes of functions) Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.

#### Warrant➦

(countable) A certificate of appointment given to a warrant officer.

#### Derivative➦

(generally) The linear operator that maps functions to their derived functions, usually written $D$; the simplest differential operator.

#### Warrant➦

A document certifying that a motor vehicle meets certain standards of mechanical soundness and safety; a warrant of fitness.

#### Derivative➦

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

#### Warrant➦

A defender, a protector.

#### Derivative➦

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

#### Warrant➦

Underclay in a coal mine.
Warren earth

#### Derivative➦

That which is derived; anything obtained or deduced from another.

#### Warrant➦

To protect, keep safe (from danger).

#### Derivative➦

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.

#### Warrant➦

To give (someone) an assurance or guarantee (of something); also, with a double object: to guarantee (someone something).

#### Derivative➦

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.

#### Warrant➦

(transitive) To guarantee (something) to be (of a specified quality, value, etc.).

#### Derivative➦

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

#### Warrant➦

(transitive) To guarantee as being true; (colloquially) to believe strongly.
That tree is going to fall, I’ll warrant.

#### Derivative➦

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

#### Warrant➦

(transitive) To authorize; to give (someone) sanction or warrant (to do something).
I am warranted to search these premises fully.

#### Derivative➦

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.

#### Warrant➦

(transitive) To justify; to give grounds for.
Circumstances arose that warranted the use of lethal force.

#### Derivative➦

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

#### Warrant➦

That which warrants or authorizes; a commission giving authority, or justifying the doing of anything; an act, instrument, or obligation, by which one person authorizes another to do something which he has not otherwise a right to do; an act or instrument investing one with a right or authority, and thus securing him from loss or damage; commission; authority.

#### Derivative➦

A financial instrument whose value is based on another security

#### Warrant➦

A writing which authorizes a person to receive money or other thing.

#### Derivative➦

(linguistics) a word that is derived from another word;
electricity' is a derivative of electric'

#### Warrant➦

That which vouches or insures for anything; guaranty; security.
I give thee warrant of thy place.
His worth is warrant for his welcome hither.

#### Derivative➦

Resulting from or employing derivation;
A derivative process
A highly derivative prose style

#### Warrant➦

A precept issued by a magistrate authorizing an officer to make an arrest, a seizure, or a search, or do other acts incident to the administration of justice.

#### Warrant➦

That which attests or proves; a voucher.

#### Warrant➦

An official certificate of appointment issued to an officer of lower rank than a commissioned officer. See Warrant officer, below.

#### Warrant➦

Right; legality; allowance.

#### Warrant➦

To make secure; to give assurance against harm; to guarantee safety to; to give authority or power to do, or forbear to do, anything by which the person authorized is secured, or saved harmless, from any loss or damage by his action.
That show I first my body to warrant.
I'll warrant him from drowning.
In a placeLess warranted than this, or less secure,I can not be.

#### Warrant➦

To support by authority or proof; to justify; to maintain; to sanction; as, reason warrants it.
True fortitude is seen in great exploits,That justice warrants, and that wisdom guides.
How little while it is since he went forth out of his study, - chewing a Hebrew text of Scripture in his mouth, I warrant.

#### Warrant➦

To give a warrant or warranty to; to assure as if by giving a warrant to.
[My neck is] as smooth as silk, I warrant ye.

#### Warrant➦

To secure to, as a grantee, an estate granted; to assure.

#### Warrant➦

A writ from a court commanding police to perform specified acts

#### Warrant➦

A type of security issued by a corporation (usually together with a bond or preferred stock) that gives the holder the right to purchase a certain amount of common stock at a stated price;
As a sweetener they offered warrants along with the fixed-income securities

#### Warrant➦

Formal and explicit approval;
A Democrat usually gets the union's endorsement

#### Warrant➦

A written assurance that some product or service will be provided or will meet certain specifications

#### Warrant➦

Show to be reasonable or provide adequate ground for;
The emergency does not warrant all of us buying guns
The end justifies the means

#### Warrant➦

Stand behind and guarantee the quality, accuracy, or condition of;
The dealer warrants all the cars he sells
I warrant this information