关于这个方法很直观的一点想法是，如果导数非常大，函数也就变化的非常快，因此我们想一小步一小步的来。

One way to think about this intuitively if the derivative is very large the function is changing quickly, and therefore we want to take small steps.

youdao

不是每个函数都有导数。

And, not every function has a derivative.

youdao

我们说一个函数是可微的，如果这些偏导数存在。

And, we say that a function is differentiable if these things exist.

youdao

All right. If the derivative is small, it's not changing, maybe want to take a larger step, but let's not worry about that all right?

好，如果导数很小的话，函数就基本没什么变化,可能我们就想把步子迈大一点儿了,但是别为这个担心？

麻省理工公开课 - 计算机科学及编程导论课程节选

What's a function, what's a derivative, what's a second derivative, how to take derivatives of elementary functions, how to do elementary integrals.

什么是函数,什么是导数,什么是二阶导数,如何对初等函数求导,如何进行初等积分

耶鲁公开课 - 基础物理课程节选

One way to think about this intuitively if the derivative is very large the function is changing quickly, and therefore we want to take small steps.

关于这个方法很直观的一点想法是,如果导数非常大,函数也就变化的非常快，因此我们想一小步一小步的来。

麻省理工公开课 - 计算机科学及编程导论课程节选