偏导数在微积分解题中的应用

The Application of Partial Derivative in Calculus

本文主要介绍偏导数定义;偏导数与微分之间的关系;偏导数在平面几何、空间几何、极值、极限问题以及在计算各类积分中的应用,最后介绍了偏导数在计算高阶偏导数与高阶全微分中的应用.

This article mainly introduces the application of the partial derivative in the calculus problem. Firstly we introduce the definition of partial derivative and the basic knowledge. Then we understand the relationship between partial derivative,differential and integral calculus. The partial derivative in the calculus problem solving from the deep role respectively in different aspects,specific applications in geometric extreme problem,and extended to various field. Contact actual problem illustrates the importance to the realistic problems of the partial derivative. Finally we introduced the simple high order partial derivatives and solving method.