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derivative of higher order

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  • Higher-order function — In mathematics and computer science, higher order functions or functionals are functions which do at least one of the following: *take one or more functions as an input *output a function.In mathematics these are also known as operators or… …   Wikipedia

  • Higher order derivative test — In mathematics, the higher order derivative test is used to find maxima, minima, and points of inflexion in an n th degree polynomial s curve.The testLet f be a differentiable function on the interval I and let c be a point on it such that #f (c) …   Wikipedia

  • Higher-order derivative test — In mathematics, the higher order derivative test is used to find maxima, minima, and points of inflexion for sufficiently differentiable functions. The test Let ƒ be a differentiable function on the interval I and let c be a point on it such that …   Wikipedia

  • Derivative (generalizations) — Derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Derivatives in analysis In real, complex, and functional… …   Wikipedia

  • Derivative — This article is an overview of the term as used in calculus. For a less technical overview of the subject, see Differential calculus. For other uses, see Derivative (disambiguation) …   Wikipedia

  • Order of integration (calculus) — For the summary statistic in time series, see Order of integration. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiati …   Wikipedia

  • Order (mathematics) — Contents 1 In algebra 2 In arithmetic 3 In analysis 4 …   Wikipedia

  • order — I. verb (ordered; ordering) Etymology: Middle English, from ordre, noun Date: 13th century transitive verb 1. to put in order ; arrange 2. a. to give an order to ; command …   New Collegiate Dictionary

  • Second derivative test — In calculus, a branch of mathematics, the second derivative test is a criterion often useful for determining whether a given stationary point of a function is a local maximum or a local minimum.The test states: If the function f is twice… …   Wikipedia

  • First derivative test — In calculus, a branch of mathematics, the first derivative test determines whether a given critical point of a function is a maximum, a minimum, or neither.IntroductionSuppose that f is a function and we want to determine if f has a maximum or… …   Wikipedia

  • Derivative (finance) — Financial markets Public market Exchange Securities Bond market Fixed income Corporate bond Government bond Municipal bond …   Wikipedia

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