Derivative vs. Integral

Derivativeadjective

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

Derivativeadjective

Imitative of the work of someone else.

Derivativeadjective

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

Derivativeadjective

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

Derivativeadjective

Lacking originality.

Derivativenoun

Something derived.

Derivativenoun

(linguistics) A word that derives from another one.

Derivativenoun

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

Derivativenoun

(chemistry) A chemical derived from another.

Derivativenoun

(calculus) The derived function of a function (the slope at a certain point on some curve f(x))

Derivativenoun

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

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.

Derivativeadjective

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

Derivativenoun

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

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.

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.

Derivativenoun

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

Derivativenoun

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

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.

Derivativenoun

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

Derivativenoun

a financial instrument whose value is based on another security

Derivativenoun

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

Derivativeadjective

resulting from or employing derivation;

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.

Integraladjective

Constituting a whole together with other parts or factors; not omittable or removable

Integraladjective

(mathematics) Of, pertaining to, or being an integer.

Integraladjective

(mathematics) Relating to integration.

Integraladjective

(obsolete) Whole; undamaged.

Integralnoun

(mathematics) A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

Integralnoun

(mathematics) Antiderivative

Integraladjective

Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.

Integraladjective

Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.

Integraladjective

Of, pertaining to, or being, a whole number or undivided quantity; not fractional.

Integralnoun

A whole; an entire thing; a whole number; an individual.

Integralnoun

An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.

Integralnoun

the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)

Integraladjective

existing as an essential constituent or characteristic;

Integraladjective

constituting the undiminished entirety; lacking nothing essential especially not damaged;

Integraladjective

necessary to make a whole complete; essential or fundamental

Integraladjective

included as part of a whole rather than supplied separately

Integraladjective

having all the parts that are necessary to be complete

Integraladjective

of or denoted by an integer.

Integraladjective

involving only integers, especially as coefficients of a function.

Integralnoun

a function of which a given function is the derivative, i.e. which yields that function when differentiated, and which may express the area under the curve of a graph of the function.

Integralnoun

a function satisfying a given differential equation.

Integral

In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.