链式法则

Let's differerntiate both sides of with respect to x using the Chain Rule.

应用链式法则，方程两边对x求导。

Based on the chain rule techniques, AD seeks first or higher order derivatives of functions represented by a group of dependent program procedures and extended files, the so-called original model, through a number of code-to-code transformings under a series of differential rules.

基于链式求导法则的自动微分方法通过改写原程序模式代码，依赖机器自动构造不同的微分模式，来分析求解函数的一阶或高阶导数，即在一系列预定微分规则下对不同程序对象做从代码到代码的自动微分转换。

For example, basic tools from calculus such as Fermat theorem, Rolle theorem and the intermediate value theorem may not necessarily hold and fundamental concepts such as chain and product rules and certain smoothness properties all need to be modified.

例如，微积分中的基本工具诸如Fermat定理、Rolle定理以及介值定理不再成立，一些基本的概念诸如链式法则、乘积公式以及某些光滑性都需要做适当的修正。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新