全微分法在隐函数求导中的应用研究  

Application study of total differential method in solving derivation of implicit function

作　　者：尹丽[1] 高辉[1] 

机构地区：[1]大连海洋大学理学院,辽宁大连116023

出　　处：《贵阳学院学报（自然科学版）》2016年第2期1-4,共4页Journal of Guiyang University：Natural Sciences

摘　　要：将全微分法应用于隐函数求导中,对单个方程和方程组所确定的一元隐函数的一阶与二阶导数,单个方程和方程组所确定的二元隐函数的一阶与二阶偏导数进行了求解研究。结果表明:此方法使得隐函数求导变得通俗易懂,且不易出错,大大提高了解答此类问题的正确率,使隐函数求导不再成为学习高等数学的一个难点。The total differential method applied in implicit function derivation,for first and second derivative of one variable of implicit function determined by a single equation or the equations,first and second partial derivative of binary variable of implicit function determined by a single equation or the equations was studied to solve. The results show that this method makes the implicit function derivation become easy to understand. And when this method is used,it is not liable to make errors. This method can raise the exactness rate. Using this method makes implicit function derivation is no longer the difficulty of learning advanced mathematics.

关 键 词：全微分法 复合函数 隐函数 求导 偏导数 

分 类 号：O172.1[理学—数学]