实用标准数二——基本知识点目录第一章极限..................................................................................4一、定理................................................................................4二、重要极限............................................................................4三、等价无穷小..........................................................................4六、积分和求极限........................................................................4四、佩亚诺余项泰勒展开..................................................................4第二章一元函数微分..........................................................................5一、函数微分............................................................................5二、微分运算法则........................................................................5三、基本微分公式........................................................................5四、变限积分求导........................................................................5五、N阶导数............................................................................5六、参数方程导数........................................................................5七、隐函数求导法则，幂指函数求导法则....................................................5八、反函数的一阶、二阶求导..............................................................5文案大全实用标准九、单调、极值、凹凸、拐点..............................................................5十、渐近线..............................................................................5十一、曲率..............................................................................6十三、泰勒定理..........................................................................6十四、极限与无穷小的关系................................................................6十五、附................................................................................6第三章一元函数积分..........................................................................7一、定理................................................................................7二、基本积分公式........................................................................7三、基本积分方法........................................................................7四、一个重要的反常积分..................................................................7五、定积分的应用........................................................................7第四章多元函数微分..........................................................................8一、如果存在，则在该点连续.......................................8二、求重极限方法........................................................................8三、可微性讨论..........................................................................8四、复合函数微分........................................................................8五、高阶偏导............................................................................8六、隐函数求导..........................................................................8七、二元函数极值的充分条件..............................................................8八、条件极值、拉格朗日乘数法............................................................8九、二重积分...............................................................................
