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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.

- 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...

- second derivative, or the second order derivative, of a function f is the derivative of the derivative of f. Roughly speaking, the second derivative measures...

- In mathematics, the total derivative of a function f at a point is the best linear approximation near this point of the function with respect to its arguments...

- In copyright law, a derivative work is an expressive creation that includes major copyrightable elements of an original, previously created first work...

- In finance, a derivative is a contract that derives its value from the performance of an underlying entity. This underlying entity can be an ****et, index...

- In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held...

- the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing...

- A time derivative is a derivative of a function with respect to time, usually interpreted as the rate of change of the value of the function. The variable...

- material derivative, including: advective derivative convective derivative derivative following the motion hydrodynamic derivative Lagrangian derivative particle...

- In mathematics, the directional derivative of a multivariate differentiable (scalar) function along a given vector v at a given point x intuitively represents...

- second derivative, or the second order derivative, of a function f is the derivative of the derivative of f. Roughly speaking, the second derivative measures...

- In mathematics, the total derivative of a function f at a point is the best linear approximation near this point of the function with respect to its arguments...

- In copyright law, a derivative work is an expressive creation that includes major copyrightable elements of an original, previously created first work...

- In finance, a derivative is a contract that derives its value from the performance of an underlying entity. This underlying entity can be an ****et, index...

- In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held...

- the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing...

- A time derivative is a derivative of a function with respect to time, usually interpreted as the rate of change of the value of the function. The variable...

- material derivative, including: advective derivative convective derivative derivative following the motion hydrodynamic derivative Lagrangian derivative particle...

- In mathematics, the directional derivative of a multivariate differentiable (scalar) function along a given vector v at a given point x intuitively represents...

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