| 二元函数可微的一个充分条件 |
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| 引用本文： | 邓卫兵.二元函数可微的一个充分条件[J].湖南工业大学学报,2012,26(1):10-12. |
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| 作者姓名： | 邓卫兵 |
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| 作者单位： | 湖南工业大学理学院,湖南株洲,412007 |
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| 摘 要： | 对高等数学和数学分析中二元函数可微的充分条件进行了研究，将条件减弱，得到了新的二元函数可微的充分条件，它揭示了二元函数偏导数存在与可微性之间的关系，并通过实例说明了函数可微的判定方法。
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| 关 键 词： | 偏导数 全微分 连续 可导 可微 |
| 收稿时间： | 2011/9/18 0:00:00 |
A Sufficient Condition for Binary Function Differentiation |
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| Deng Weibing.A Sufficient Condition for Binary Function Differentiation[J].Journal of Hnnnan University of Technology,2012,26(1):10-12. |
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| Authors: | Deng Weibing |
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| Affiliation: | Deng Weibing(School of Science,Hunan University of Technology,Zhuzhou Hunan 412007,China) |
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| Abstract: | The sufficient conditions for binary function differentiation in advanced mathematics and mathematical analysis are studied. With the conditions weakened, obtains the condition of a new binary function differentiation, which reveals the relationship between binary function partial derivatives and differentiability. And illustrates the differentiability of function with examples. |
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| Keywords: | partial derivatives total differentiation continuative derivable differentiable |
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