高等数学全微分与偏导数（好学高数四）

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Share interests, spread happiness, increase knowledge, and leave a good future! Dear you, this is LearningYard New Academy. Today, the editor brings you a studious high number (4): derivatives and differentiation.

一、高阶导数

01高阶导数求导公式

02幂指函数（底数与指数均为函数）

求导方法：将底数（指数）看为常数后求导,再对被看成常数的函数求导，二者相乘。之后再加上指数（底数）看为常数后求导,再对被看成常数的函数求导，二者相乘。

Derivation method: take the base (exponent) as a constant and then derive the function that is regarded as a constant, and multiply the two. Then add the exponent (base) as a constant and then derive, and then derive the function that is regarded as constant, and multiply the two.

例如：

二、隐函数求导

01隐函数的导数

适用对象：无法将y单独分离到一侧

使用方法：等号两侧同时求导

Applicable object: It is not possible to separate y to one side alone Use method: Derive on both sides of the equal sign at the same time

02 参数方程所确定的导数

一阶导数：

二阶导数：

（当分子分母有一堆相乘时取对数）

(Take the logarithm when the numerator denominator has a bunch of multiplications)

三、微分的基本运算

01微分法则

微分表达式：dy=f'(x)△x

（基本还是掌握函数的求导）

Differential expression: dy=f'(x)△x (basic or mastering the derivation of functions)

END

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翻译：谷歌翻译参考：《高等数学》第七版上册 同济大学数学系、百度声明：本文由LearningYard新学苑原创，若有侵权请联系删除！

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