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2007•Journal of Guiyang UniversityRequires access

The Role of Differential in Calculus

Luo Xian-xin

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Abstract

Differential is an important concept of calculus and it is the pivot which makes differential change to integral.Its concept and operation are widely used in calculus curriculum.If the use can be understood from multiply perspectives,its importance and aims of calculus will be clear,and the teaching of relevant content will be more effective.The article explores its relations derivative,indefinite integral and definite integral,realizing the role of differential in calculus curriculum.

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What this paper is about

Differential is an important concept of calculus and it is the pivot which makes differential change to integral.Its concept and operation are widely used in calculus curriculum.If the use can be understood from multiply perspectives,its importance and aims of calculus will be clear,and the teaching of relevant content will be more effective.The article explores its relations derivative,indefinite integral and definite integral,realizing the role of differential in calculus curriculum.

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Available abstract

Differential is an important concept of calculus and it is the pivot which makes differential change to integral.Its concept and operation are widely used in calculus curriculum.If the use can be understood from multiply perspectives,its importance and aims of calculus will be clear,and the teaching of relevant content will be more effective.The article explores its relations derivative,indefinite integral and definite integral,realizing the role of differential in calculus curriculum.

Key concepts: Calculus (dental), Differential calculus, Differential (mechanical device), Time-scale calculus, Mathematics, Multivariable calculus, Fundamental theorem of calculus, Quantum differential calculus

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