differentiation with respect to

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• 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

• Differentiation of integrals — In mathematics, the problem of differentiation of integrals is that of determining under what circumstances the mean value integral of a suitable function on a small neighbourhood of a point approximates the value of the function at that point.… …   Wikipedia

• Differentiation of measures — In mathematics, differentiation of measures may refer to: the problem of differentiation of integrals, also known as the differentiation problem for measures; the Radon–Nikodym derivative of one measure with respect to another. This… …   Wikipedia

• Automatic differentiation — In mathematics and computer algebra, automatic differentiation, or AD, sometimes alternatively called algorithmic differentiation, is a method to numerically evaluate the derivative of a function specified by a computer program. Two classical… …   Wikipedia

• Notation for differentiation — In differential calculus, there is no single uniform notation for differentiation. Instead, several different notations for the derivative of a function or variable have been proposed by different mathematicians. The usefulness of each notation… …   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

• Fermi-Walker differentiation — geometry stubIn the theory of Lorentzian manifolds, Fermi Walker differentiation is a generalization of covariant differentiation.Application to general relativityIn general relativity, Fermi Walker derivatives of the spacelike unit vector fields …   Wikipedia

• implicit differentiation — Math. a method of finding the derivative of an implicit function by taking the derivative of each term with respect to the independent variable while keeping the derivative of the dependent variable with respect to the independent variable in… …   Universalium