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differentiation formula

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  • Backward differentiation formula — The backward differentiation formula (BDF) is a family of implicit methods for the numerical integration of ordinary differential equations. They are linear multistep methods that, for a given function and time, approximate the derivative that… …   Wikipedia

  • differentiation — [dif΄əren΄shē ā′shən] n. 1. a differentiating or being differentiated 2. Biol. the modification of an organ, tissue, etc. in structure or function during development into a more specialized state 3. Math. the working out of the differential or… …   Universalium

  • Differentiation under the integral sign — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Differentiation rules — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Differentiation of trigonometric functions — Trigonometry History Usage Functions Generalized Inverse functions Further reading …   Wikipedia

  • Cauchy's integral formula — In mathematics, Cauchy s integral formula, named after Augustin Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary… …   Wikipedia

  • Numerical differentiation — is a technique of numerical analysis to produce an estimate of the derivative of a mathematical function or function subroutine using values from the function and perhaps other knowledge about the function. Contents 1 Finite difference formulae 1 …   Wikipedia

  • Techniques for differentiation — This article contains a list of techniques for the differentiation of real functions, categorized by type.imple polynomial functionsGiven a polynomial p(x), that is defined by the formula:: p(x) = sum^m {i=0} k i x^i , one has: frac{d}{dx} p(x) …   Wikipedia

  • Euler's formula — This article is about Euler s formula in complex analysis. For Euler s formula in algebraic topology and polyhedral combinatorics see Euler characteristic.   Part of a series of articles on The mathematical constant e …   Wikipedia

  • Logarithmic differentiation — Logarithmic derivative is a separate article. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation …   Wikipedia

  • Inverse functions and differentiation — In mathematics, the inverse of a function y = f(x) is a function that, in some fashion, undoes the effect of f (see inverse function for a formal and detailed definition). The inverse of f is denoted f^{ 1}. The statements y=f(x) and x=f 1(y) are …   Wikipedia

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