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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 shows the sensitivity of change of a function's output with respect to the input. Derivatives are a fundamental tool of...

- 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...

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

- 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...

- second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative can be...

- 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 calculus, a derivative test uses the derivatives of a function to locate the critical points of a function and determine whether each point is a local...

- 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 directional derivative is a concept in multivariable calculus that measures the rate at which a function changes in a particular direction at a given...

- logarithmic derivative of a function f is defined by the formula f ′ f {\displaystyle {\frac {f'}{f}}} where f ′ {\displaystyle f'} is the derivative of f....

- 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...

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

- 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...

- second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative can be...

- 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 calculus, a derivative test uses the derivatives of a function to locate the critical points of a function and determine whether each point is a local...

- 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 directional derivative is a concept in multivariable calculus that measures the rate at which a function changes in a particular direction at a given...

- logarithmic derivative of a function f is defined by the formula f ′ f {\displaystyle {\frac {f'}{f}}} where f ′ {\displaystyle f'} is the derivative of f....

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