链式法则和高阶函数求导


链式法则求导也就是我们熟悉的符合函数求导。设置U 来进行求导。

 

 

比较简单,这里忽略了设置U,知识在心中想象一下罢了。


高阶函数求导。

    就像这样就是二阶导数。继续进行求导 U。。。= -cos  。当阶数比较高的时候用 点 来表示阶数 就有点草单了。这时候我们用 U( 3 ) = U” “ ” l  来表示 因为 他们两个是同一个意思。  这些是求导符号的解析。d/dx 下面的x是对x进行求导。意味着x是自变量。上面缺少 一个字母,加入他是y,那么就是y = 什么什么x ,然后对y进行求导得到 y

  并且上图中的最后一个最常见的公式 d2/dx2 我们经常认为 是对x2进行求导其实不然。这一个表达式和前面的哪一个表达式是一样的(前一个表达式:黑板上该表达式 = ”所对应的哪一个“)

 

 

 

 



             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