幂指函数求导探析  

The Derivation of Power Exponential Function

作　　者：杨雄[1] 袁新全 YANG Xiong;YUAN Xinquan(Loudi Vocational and Technical College,Loudi Hunan 417000,China)

机构地区：[1]娄底职业技术学院,湖南娄底417000

出　　处：《保山学院学报》2023年第2期38-43,共6页JOURNAL OF BAOSHAN UNIVERSITY

基　　金：2022年湖南省社会科学成果评审委员会课题“新时代高职公共基础课合力育人研究”(项目编号:XSP22YBC054)。

摘　　要：幂指函数求导是常用对数求导法,除了对数求导法外,探索了偏导数求导、应用指数函数和幂函数求导等多种幂指函数求导方法,进而进一步推导出一元幂指函数和多元幂指函数的求导公式,为幂指函数求导提供参考。The derivation of power index function is a commonly used logarithmic derivation method.In addition to the logarithmic derivation method,this paper explores a variety of derivation methods of pow⁃er index function,such as partial derivative derivation,application of exponential function and power function derivation,and further deduces the derivation formulas of univariate power index function and multivariate power index function,so as to provide reference for the derivation of power index function.

关 键 词：幂指函数 求导 偏导数 微分中值定理 

分 类 号：O1[理学—数学]