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。
我们叫他f的导数。
The derivative of delays can be arbitrary large.
时滞的导数可以是任意大的。
It is the derivative of revenue pq with respect to quantity.
它是收入Pq相对于数量的导数。
And angular acceleration is the derivative of angular velocity.
角加速度等于，角速度的导数。
It is interesting for him to study the derivative of a vector.
对他来说，研究矢量的导数是很有趣的事。
And now we have to take the derivative of this quantity squared.
现在我们要对这个量的平方求导。
A novel grease additive derivative of thiadiazole was synthesized.
摘要合成了一种新型润滑脂添加剂噻二唑衍生物。
And, we've also learned about acceleration, which is the derivative of velocity.
我们还学过加速度，也就是速度向量的导数。
So, the velocity vector is the derivative of a position vector with respect to time.
速度向量，是位置向量关于时间的导数。
If we take the example of the cycloid, well, what's the derivative of one minus cos?
以摆线为例，1，-，cos的导数是什么？
And, in fact, what the equation will give us is the derivative of u with respect to t.
事实上，这个方程给出的是，u对t的偏导数。
If I match this with equation two then that will tell me what the derivative of g should be.
如果把这个和方程比较,我能得到g的导数。
You can also require that any derivative of your work be shared in the same way as the original.
还可以要求对作品的派生物使用与原版一样的条款。
Before we do that, since what we're after is the derivative, let's take the derivative of both sides.
在我们开始之前，因为我们需要的是导数，取方程两边的导数。
Gold is not a living thing, just a door stop throwing off nada, a derivative of our weakening dollar.
黄金并不是个活物，它只是弱势美元的衍生结果。
So let's take the derivative of this with respect to total pressure. Well, this isn't total pressure.
对这个方程两边对总的压强求导，好，这里不是总压强。
However, in 1919, kerosene production was surpassed by that of gasoline, another derivative of petroleum.
然而，1919年，另一石油衍生产品——汽油产量超过煤油。
Then we can take the derivative of that quantity, when we vary the temperature, holding the volume constant.
即恒定体积，改变温度，这里恒定温度下。
Remember, we take the derivative of the square. We take twice this quantity times the derivative of what we are squaring.
还记得吧，对一个量的平方求导，就得到这个量的2倍，乘以这个量的导数。
I'm sure you remember some of the simpler rules for differentiation and could quickly tell me that the derivative of x2 is 2x.
我确信你们仍然记得一些简单的规则，并且能够迅速地告诉我x2的导数是2x。
Torque divided by moment of inertia is what will cause the angular acceleration, namely the derivative of angular velocity.
扭矩除以转动惯量,就会引起角加速度，也就是角速度的导数。
The chemical potential from the fundamental equation up here is the derivative of a with respect to the number of particles.
化学势，从基本方程上说，就是A对N的偏导，因此对A取N偏导，因此化学势也能，用正则配分函数表示。
What I showed you at the beginning, and then erased, basically justifies how to take the derivative of a reciprocal function.
最开始我讲过了，如何对倒数函数求导。
See, if you took the derivative of this with respect to x you will get 2xy and this guy will go away x because there is no x in it.
如果你对它关于x求导,就会得到2xy，而这项就没有了,因为它里面没有。
And maybe there is even a fifth: merchandising, but you can also say that merchandising is a derivative of exhibiting or collection.
然后，还有一个第五个内容：销售规划，但是你也会说“销售规划“是展览和展品的衍生品。
We know that the limit is the basis for derivative knowledge, for learning an important role in the definition of the derivative of.
我们知道，极限是导数知识的基础，对于学习导数的定义具有重要的作用。
A derivative of this format is the well-known HTML (Hyper Text Markup Language), which is used for browsing static pages on the Internet.
从这一格式派生出在因特网上浏览固定网页使用的、著名的HTML (HyperTextMarkupLanguage)。
So, the definition will take effect. The acceleration is as a vector, and the acceleration vector is just the derivative of a velocity vector.
有必要对加速度给出一个严格的定义，加速度,作为一个矢量,是速度的一阶导数。
So, the definition will take effect. The acceleration is as a vector, and the acceleration vector is just the derivative of a velocity vector.
有必要对加速度给出一个严格的定义，加速度,作为一个矢量,是速度的一阶导数。
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