chain rule

chain rule
the theorem that defines the method for taking the derivative of a composite function.
[1860-65]

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Universalium. 2010.

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• Chain rule — Chain Chain (ch[=a]n), n. [F. cha[^i]ne, fr. L. catena. Cf. {Catenate}.] 1. A series of links or rings, usually of metal, connected, or fitted into one another, used for various purposes, as of support, of restraint, of ornament, of the exertion… …   The Collaborative International Dictionary of English

• Chain rule — For other uses, see Chain rule (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation …   Wikipedia

• chain rule — noun : a mathematical rule concerning the differentiation of a function of a function (as f[u(x)]) by which under suitable conditions of continuity and differentiability one function is differentiated with respect to the second considered as an… …   Useful english dictionary

• Chain rule (disambiguation) — Chain rule may refer to: Chain rule in calculus: Cyclic chain rule, or triple product rule: Chain rule (probability) …   Wikipedia

• Chain rule (probability) — In probability theory, the chain rule permits the calculation of any member of the joint distribution of a set of random variables using only conditional probabilities. Consider an indexed set of sets . To find the value of this member of the… …   Wikipedia

• Chain rule for Kolmogorov complexity — The chain rule for Kolmogorov complexity is an analogue of the chain rule for information entropy, which states: H(X,Y) = H(X) + H(Y | X) That is, the combined randomness of two sequences X and Y is the sum of the randomness of X plus whatever… …   Wikipedia

• chain rule — noun Date: circa 1937 a mathematical rule concerning the differentiation of a function of a function (as f [u(x)]) by which under suitable conditions of continuity and differentiability one function is differentiated with respect to the second… …   New Collegiate Dictionary

• Chain — (ch[=a]n), n. [F. cha[^i]ne, fr. L. catena. Cf. {Catenate}.] 1. A series of links or rings, usually of metal, connected, or fitted into one another, used for various purposes, as of support, of restraint, of ornament, of the exertion and… …   The Collaborative International Dictionary of English

• Chain belt — Chain Chain (ch[=a]n), n. [F. cha[^i]ne, fr. L. catena. Cf. {Catenate}.] 1. A series of links or rings, usually of metal, connected, or fitted into one another, used for various purposes, as of support, of restraint, of ornament, of the exertion… …   The Collaborative International Dictionary of English

• Chain boat — Chain Chain (ch[=a]n), n. [F. cha[^i]ne, fr. L. catena. Cf. {Catenate}.] 1. A series of links or rings, usually of metal, connected, or fitted into one another, used for various purposes, as of support, of restraint, of ornament, of the exertion… …   The Collaborative International Dictionary of English