2007Unpublished venueRequires access

Some notes for functional derivative and infinitesimal of higher order

Qingzheng Zhang

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Abstract

The decision methods that the function is derivable in the origin and the simple methods to find a functionl one-sided derivative are given in this paper.Some application examples of the methods are given as well.This paper also gives the operative property for the infinitesimal of higher order and its application in the Taylor's formula with Peano remainder in finding functional limit.

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What this paper is about

The decision methods that the function is derivable in the origin and the simple methods to find a functionl one-sided derivative are given in this paper.Some application examples of the methods are given as well.This paper also gives the operative property for the infinitesimal of higher order and its application in the Taylor's formula with Peano remainder in finding functional limit.

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Available abstract

The decision methods that the function is derivable in the origin and the simple methods to find a functionl one-sided derivative are given in this paper.Some application examples of the methods are given as well.This paper also gives the operative property for the infinitesimal of higher order and its application in the Taylor's formula with Peano remainder in finding functional limit.

Key concepts: Infinitesimal, Remainder, Peano axioms, Simple (philosophy), Mathematics, Functional derivative, Property (philosophy), Infinitesimal transformation

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