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derivative |
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derivative: see calculus calculus, branch of mathematics that studies continuously changing quantities. The calculus is characterized by the use of infinite processes, involving passage to a limit —the notion of tending toward, or approaching, an ultimate value. ..... Click the link for more information. . derivativeIn mathematics, a fundamental concept of differential calculus representing the instantaneous rate of change of a function. The first derivative of a function is a function whose values can be interpreted as slopes of tangent lines to the graph of the original function at a given point. The derivative of a derivative (known as the second derivative) describes the rate of change of the rate of change, and can be thought of physically as acceleration. The process of finding a derivative is called differentiation. derivative 1. Chem a compound that is formed from, or can be regarded as formed from, a structurally related compound 2. Maths a. the change of a function, f(x), with respect to an infinitesimally small change in the independent variable, x; the limit of [f(a + Δx)--f(a)]/Δx, at x = a, as the increment, Δx, tends to 0. Symbols: df(x)/dx, fʹ(x), Df(x) b. the rate of change of one quantity with respect to another 3. Psychoanal an activity that represents the expression of hidden impulses and desires by channelling them into socially acceptable forms How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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| There are some cases, however, in which, as the quality under consideration has no name, it is impossible that those possessed of it should have a name that is derivative. "The Idiots" is such an obviously derivative piece of work that it is impossible for me to say anything about it here. To follow that way is an initiation, by which they will become able to distinguish, in art, speech, feeling, manners, in men and life generally, what is genuine, animated, and expressive from what is only conventional and derivative, and therefore inexpressive. |
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