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Derivative

Derivative De*riv"a*tive, n. 1. That which is derived; anything obtained or deduced from another. 2. (Gram.) 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. 3. (Mus.) 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. 4. (Med.) An agent which is adapted to produce a derivation (in the medical sense). 5. (Math.) A derived function; a function obtained from a given function by a certain algebraic process. Note: Except in the mode of derivation the derivative is the same as the differential coefficient. See Differential coefficient, under Differential. 6. (Chem.) 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 De*riv"a*tive, n. 1. That which is derived; anything obtained or deduced from another. 2. (Gram.) 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. 3. (Mus.) 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. 4. (Med.) An agent which is adapted to produce a derivation (in the medical sense). 5. (Math.) A derived function; a function obtained from a given function by a certain algebraic process. Note: Except in the mode of derivation the derivative is the same as the differential coefficient. See Differential coefficient, under Differential. 6. (Chem.) 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.

- value. Derivative may also refer to: Brzozowski derivative in the theory of formal languages Covariant derivative, a way of specifying a derivative along...

- financial crisis, there has been increased pressure to move derivatives to trade on exchanges. Derivatives are one of the three main categories of financial instruments...

- Partial derivatives are used in vector calculus and differential geometry. As with ordinary derivatives, multiple notations exist: the partial derivative of...

- held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential...

- directive provides a systematic way of finding these derivatives. The definitions of directional derivatives for various situations are given below. It is ****umed...

- difference quotient. The symmetric derivative at a given point equals the arithmetic mean of the left and right derivatives at that point, if the latter two...

- The derivatives market is the financial market for derivatives - financial instruments like ****ures contracts or options - which are derived from other...

- Since the advent of the cyberpunk genre, a number of cyberpunk derivatives have become recognized in their own right as distinct subgenres in speculative...

- generally give a better approximation of the derivative and examples of such filters are Gaussian derivatives and Gabor filters. Sometimes high frequency...

- _{c}}\tau \right)^{ab}} In general, covariant derivatives do not commute. By example, the covariant derivatives of vector field λ a ; b c ≠ λ a ; c b {\displaystyle...

- financial crisis, there has been increased pressure to move derivatives to trade on exchanges. Derivatives are one of the three main categories of financial instruments...

- Partial derivatives are used in vector calculus and differential geometry. As with ordinary derivatives, multiple notations exist: the partial derivative of...

- held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential...

- directive provides a systematic way of finding these derivatives. The definitions of directional derivatives for various situations are given below. It is ****umed...

- difference quotient. The symmetric derivative at a given point equals the arithmetic mean of the left and right derivatives at that point, if the latter two...

- The derivatives market is the financial market for derivatives - financial instruments like ****ures contracts or options - which are derived from other...

- Since the advent of the cyberpunk genre, a number of cyberpunk derivatives have become recognized in their own right as distinct subgenres in speculative...

- generally give a better approximation of the derivative and examples of such filters are Gaussian derivatives and Gabor filters. Sometimes high frequency...

- _{c}}\tau \right)^{ab}} In general, covariant derivatives do not commute. By example, the covariant derivatives of vector field λ a ; b c ≠ λ a ; c b {\displaystyle...

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