# Derivate vs. Derivative: What's the Difference?

## Derivate and Derivative Definitions

#### Derivate

Derivative.

#### Derivative

Resulting from or employing derivation

A derivative word.

A derivative process.

#### Derivate

Derived; derivative.

#### Derivative

Copied or adapted from others

A highly derivative prose style.

#### Derivate

Something derived; a derivative.

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#### Derivative

Something derived.

#### Derivate

(obsolete) To derive.

#### Derivative

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

#### Derivate

Derived; derivative.

#### Derivative

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

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#### Derivate

To derive.

#### Derivative

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

#### Derivative

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

#### Derivative

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

#### 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.

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#### Derivative

Obtained by derivation; not radical, original, or fundamental.

A derivative conveyance

A derivative word

#### Derivative

Imitative of the work of someone else.

#### Derivative

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

#### Derivative

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

#### Derivative

Lacking originality.

#### Derivative

Something derived.

#### Derivative

(linguistics) A word that derives from another one.

#### Derivative

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

#### Derivative

(chemistry) A chemical derived from another.

#### 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.

#### Derivative

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 $f\text{'}(x)$ or $\backslash frac\{df\}\{dx\}$ in Leibniz's notation, $\backslash dot\{f\}(x)$ 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 $f(x)\; =\; x^2$, then $f\text{'}(x)\; =\; 2x$

#### 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 $f(x)=x^3$ at $x=2$ is 12.

#### 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.

#### Derivative

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

#### 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.

#### Derivative

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

#### Derivative

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

#### 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.

#### 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.

#### Derivative

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

#### Derivative

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

#### 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.

#### Derivative

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

#### Derivative

A financial instrument whose value is based on another security

#### Derivative

(linguistics) a word that is derived from another word;

`electricity' is a derivative of `electric'

#### Derivative

Resulting from or employing derivation;

A derivative process

A highly derivative prose style