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。
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。
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。
Short of peering at each loan and derivative, no one really knows what skeletons (if any) are lurking in Barclays’ vaults.
除了盯着巴克莱银行的每笔贷款和衍生品，没有人确切的知道在巴克莱银行的金库里究竟是什么力量（如果有的话）在支撑。
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。
GPLv3 adds more clarity with regard to what constitutes a derivative work.
GPLv3在关于衍生产品具体由什么构成的问题上增加了更多的透明度。
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。
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。
Then walk into your local bank and ask your friendly banker what a derivative is.
然后走进你本地的银行，问问笑脸相迎的银行家什么是衍生品。
For example, if you write a story based upon another book or take a photograph of a painting, even though you created a new work, it could be what is known as a derivative work and infringement.
例如，你写的故事是基于另一本书，或者对着一幅画拍了张照片，尽管你创作了一些新的东西，但是这会被认定为衍生著作，并且是侵权的。
So, what does the second derivative test say?
那么二阶导数判定是怎样的呢？
There's still not nearly enough thermal energy to have a molecules up here. So what, was the derivative of the energy with respect to the temperature?
仍然没有足够的热能使分子上升到这儿，那么相对于温度得到的，能量又如何呢？
And what that says is that the heat capacity and of course we could take the limit of this, but we can just take the derivative of this with respect to temperature more easily.
那意味着热容，当然我们也可以做它的极限，但我们用它，对温度求导更容易些。
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。
We will be doing qualitative questions sin like what is the sine of a partial derivative.
会有一些定性的问题,比如说。
“导数”又是什么？
Can you tell me what a derivative is?
你能告诉我衍生产品是什么吗？
Yes, I divide... m Oh, there's an m here, m And now what I'm going to do, I'm going to take the time derivative of this equation.
对，我除以。，哦，这里有个，应该在这里。，and, the,m, has, to, be, here。，现在我要做的，我将把这个等式，转化成与时间有关。
If you so choose, you may allow others to create derivative works from what you share.
如果你选择分享，你就会允许其他的人从你的分享当中创作衍生作品。
And what we have been doing is certainly anything but derivative.
我们的业务范围很广但并非是那些衍生产品。
What do you think was the main cause of the COE's derivative losses?
你认为央企衍生品亏损的主要原因是什么？
However, what disturbs me the most is that much of today's music, art, fashion and esthetic sense is very derivative.
无论如何，让我最烦恼的是如今的音乐，艺术，时尚和美感有非常多是衍生品。
However, what disturbs me the most is that much of today's music, art, fashion and esthetic sense is very derivative.
无论如何，让我最烦恼的是如今的音乐，艺术，时尚和美感有非常多是衍生品。
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