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隐函数三阶混合偏导数的行列式表示
引用本文:余小飞,王荣乾.隐函数三阶混合偏导数的行列式表示[J].宁波职业技术学院学报,2011,15(2).
作者姓名:余小飞  王荣乾
作者单位:河南工业职业技术学院,河南,南阳,473009
摘    要:隐函数作为一类非常重要的函数,其导数有很重要的应用价值。通过对隐函数导数及二阶导数的研究,给出了隐函数的三阶混合偏导数的计算公式,并将其表示成行列式的形式。将微积分与线性代数结合起来,具有很好的理论应用价值。

关 键 词:隐函数  三阶混合偏导数  行列式  

Determinant expression of the implicit function of the third order mixed partial derivative
YU Xiao-fei,WANG Rong-qian.Determinant expression of the implicit function of the third order mixed partial derivative[J].Journal of Ningbo Polytechnic,2011,15(2).
Authors:YU Xiao-fei  WANG Rong-qian
Institution:YU Xiao-fei,WANG Rong-qian(Henan Polytechnic Institute,Nanyang 473009,China)
Abstract:Implicit function as a very important function,whose derivative is very important for application.By researching the derivatives and the second derivatives of the implicit function,the third order mixed patrial derivative formulate of the implicit function is given,and expressed as the form of determinant.Be combined with linear algebra and calculus,it has great theory value.
Keywords:implicit function  the third order mixed patrial derivative  determinant  
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