当然，函数的二阶项，可以看出，实际上发生了变化的，函数并不是真的不变了。

Then, of course, there will be maybe quadratic terms that will actually turn that, you know, this won't really say that your function is actually constant.

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Ceylon 包含称为一阶函数 的函数式编码样式。

Ceylon includes the functional style of programming called first-order functions.

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通过分析函数的一阶导数与二阶导数图像的特征，提出了一种含有权值的图像边缘锐化的新算法。

By analyzing the characteristics of the function's once and quadratic differential coefficient's image, a new algorithm of images' edge sharpening which contains weights.

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Normally, I will give you a function and tell you to take any number of derivatives.

通常情况下,我会给你一个函数,然后让你求任意阶的导数

耶鲁公开课 - 基础物理课程节选

Of course, you can take a function and take derivatives any number of times.

当然,你可以随意拿一个函数,对它求任意阶的导数

耶鲁公开课 - 基础物理课程节选

Then, to find the meaning of b, we take one derivative of this, dx/dt, that's velocity as a function of time, and if you took the derivative of this guy, you will find as at+b. That's the velocity of the object.

接下来,为了弄清b的含义,我们取它的一阶导数,dx/dt,得到速度作为时间的函数,如果你对它求导的话,你会得到at+b,这就是物体的速度

耶鲁公开课 - 基础物理课程节选