| 关于多元函数可微的充分条件的一点改进 |
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| 引用本文： | 沐雨芳.关于多元函数可微的充分条件的一点改进[J].泰州职业技术学院学报,2006,6(3):59-60,70. |
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| 作者姓名： | 沐雨芳 |
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| 作者单位： | 泰州职业技术学院,江苏,泰州,225300 |
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| 摘 要： | 各偏导数存在且连续是公认的多元函数可微的充分条件。实际上，此条件可减弱为：各偏导数存在且其中n-1个偏导数连续时，函数仍可微。
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| 关 键 词： | 多元函数 可微 充分条件 |
| 文章编号： | 1671-0142（2006）03-0059-02 |
A Sufficiency Improvement Differentials about the Function of Many Variables |
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| MU Yu-fang.A Sufficiency Improvement Differentials about the Function of Many Variables[J].Journal of Taizhou Polytechnical Institute,2006,6(3):59-60,70. |
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| Authors: | MU Yu-fang |
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| Institution: | Taizhou Polytechnical institute, Taizhou Jiangsu 225300, China |
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| Abstract: | Various partial derivatives' existence and continuity is the sufficient condition of many variables differentials.In fact,this condition may be weakened as: when various partial derivatives existence(n-1 partial derivative continuous),the function is still differentiable. |
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| Keywords: | function of many variables diffcrentiable sufficiency |
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