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Today's little editor brings you the idea of Learning Higher Mathematics (12): Review of Derivatives and Differential.
一
01
导数和微分的概念及应用
1、极限存在不可推出该点导数存在，该点导数存在可推出极限存在。
2、可导必连续，连续不一定可导
3、可导=可微
4、倒数存在，即左导数等于右导数
01 The concept and application of derivative and differential
1. The existence of limit cannot be deduced. The existence of derivative at this point can be deduced.
2. Derivative must be continuous, continuous may not be differentiable
3. Derivative=differentiable
4. The reciprocal exists, that is, the left derivative is equal to the right derivative
02
导数和微分的求法
1、正确使用导数及微分公式和法则
2、熟练掌握求导方法和技巧
1)求分段函数的导数
注意讨论界点处左右导数是否存在和相等
(2)隐函数求导法导出对数微分法
(3)极坐标方程求导转化参数方程求导法
(4)复合函数求导法(可利用微分形式不变性)
(5)高阶导数的求法
逐次求导归纳;间接求导法;利用莱布尼茨公式.
02 Derivative and differential calculation
1. Correctly use derivative and differential formulas and rules
2. Proficiently master derivative calculation methods and skills
1) Pay attention to discussing whether the left and right derivatives at the boundary point are equal
2) Derivation of implicit function leads to logarithmic differential method
(3) Derivation of polar coordinate equation and transformation of parametric equation
(4) Derivation of composite function (using the invariance of differential form)
(5) Derivation and induction of higher-order derivatives step by step; Indirect derivation method; Use Leibniz formula
END
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翻译：百度翻译参考：《高等数学 第七版》同济大学数学系编声明：本文由LearningYard新学苑原创，若有侵权请联系删除！
文案&排版：易春秀
审核：闫庆红
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