Let's sneak in one more derivative here, which is to take the derivative of the derivative.

我们再求一次导数，也就是对导数求导。

youdao

And all we did, further, is take that second derivative.

总而言之，我们所做的就是求二阶导数。

youdao

Let's take the derivative outside with pressure and see what happens.

把对压强的导数拿出来，看看有什么发生。

youdao

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

And all this is, is saying that when you take a mixed second derivative, it doesn't matter in which order you take the two derivatives.

麦克斯韦关系的本质是,当你考虑混合的二阶导数时，求导的顺序不影响最后的结果,现在，我们利用这些关系。

麻省理工公开课 - 热力学与动力学课程节选

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

They are patronized by traders in London's financial district, who can take and adjust complex positions on a bet, just as they can on a financial derivative.

FORBES: Magazine Article

Reckless traders take on way too much risk and the position in a stock, bond or ginned-up derivative du jour collapses.

FORBES: The JPMorgan London Whale: Now it's Criminal?

Since the CME raised the margin downpayment required of gold derivative traders by one-quarter early in August ( widely reported, but hey, pundits take holidays too) leverage across-the-board in New York gold futures stands at 25-to-1.

FORBES: Nouriel Roubini Wrongly Compares Gold To Y2K Tech Bubble