-
Nicholas Lardy, an economist and senior fellow at the Washington-based Peterson Institute, says China's unwillingness to adopt derivative loans and other high-risk financial products helped to shield it from the impact of the world economic downturn.
VOA: standard.2009.11.10
-
If you knew only the third derivative of the function, you can have something quadratic in t without changing the outcome.
如果方程里有三阶导数,你就可以引入一个二次项,但是结果却不会变
-
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。
-
I tell you something about the second derivative of a function and ask you what is the function.
我告诉你一个函数的二阶导数,然后问你这个函数是什么
-
All right, what we gonna do, we want to take a derivative of this thing.
接下来我们要求导了
-
The first derivative of their regard for us is positive. Okay?
他们对我们态度的转变首先是积极的，，对吧？
-
But, of course, we want to go all the way to distance, so we take the second derivative and we have this equation for force here.
当然我们最后想要的是距离,所以我们取二阶微,分就有这个式子。
-
So the slope of the guess is the first derivative.
因此斜率等于此处的一阶导数。
-
It is in fact a very, very difficult and derivative act of the mind to try to forget that I am looking at a sign that says 'exit' and, in fact, just looking at what is there without knowing what it is.
事实上，试图忘记那个写着存在的标志,和只知道它存在而不知道它是什么，是非常难的事情。
-
And the mathematics of that equation involved a double derivative in time of x 0 plus some constant times x equals zero with some constraints on it.
那个数学方程式,包括了x对时间的二阶导数,加上常数乘以x等于,还有一些限制条件。
-
This makes sense; the rate at which the cell population is growing, the derivative dX/dt, is proportional to the number of cells I have.
这个说的通,细胞数目的增长速度,就是导数dX/dt,和细胞数目呈比例关系
-
G We can take the derivative of G with respect to how much material there is.
我们可以取,对物质总量的偏导数。
-
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
-
v is obtained by taking derivative of this expression.
可以通过这个式子求导得到
-
Once you can take one derivative, you can take any number of derivatives and the derivative of the velocity is called the acceleration, and we write it as the second derivative of position.
只要你能求一阶导数,你就能求任意阶的导数,速度的导数被称为"加速度",我们把它写成位移的二阶导数
-
So, using those, now, what happens if we take the second derivative of A, the mixed derivative, partial with respect to T and the partial with respect to V.
如果我取A的二阶导数,混合导数，对T偏微分,再对V偏微分。
-
OK, so for a constant volume process, du we can write du, partial derivative of dT u with respect to T at constant V, dT, dv plus partial derivative of u at constant V, dV.
好，对于一个恒定体积的过程，我们可以写出,等于偏u偏T，V不变，加上偏u偏V，T不变。
-
Take a derivative of S1.
求出S1的导数
-
The first derivative is more important than just the position of their regard for us, getting better and better.
态度的改观,比一开始对我们的看法更为重要，会越来越好。
-
If you took the derivative of this, you will get the velocity at time t, it would be: v=v0+at.
如果你对它求导,你就可以知道 t 时刻的速度,即,v=v0+at
-
We have discovered that this partial derivative that appears in the definition, the abstract definition of the differential for internal energy, is just equal to the constant volume heat capacity.
我们还发现,这个偏微分出现在了，内能的偏微分,定义式中，它也就是热容。
-
Why is the derivative of a vector also a vector?
为什么矢量的导数还是一个矢量呢
-
Even though we started with a single vector, which is the position vector, we're now finding out that its derivative has to be a vector and the derivative of the derivative is also a vector.
即使我们从单个矢量出发,即位移矢量,我们现在也能得出它的导数是矢量,而且导数的导数也是一个矢量
-
If you knew the second derivative of x, the answer looks like that.
如果你知道x的二阶导数,那么答案就是上面那个
-
The derivative of this guy will be 2t times i plus what?
这个式子的导数为 i ? 2t,加上什么呢
-
If you want to know how fast it's moving at a given time, if you want to know the velocity, I just take the derivative of this answer, which is 10-10t.
如果你想知道它在给定时刻的运动有多快,如果你想知道它的速度,我只要对这个式子求导,得到10-10t
-
So now we have this derivative, in terms of physical quantities, things that we can measure.
现在我们得到了这个导数,它可以用实验可测的与。
-
You know that if you took a derivative of this, you will find v of t is v0+at.
如果你对这个式子求一次导,你将会得到v=v0+at
-
If you know the second derivative of y to be a, then the answer looks like this.
如果你知道y的二阶导数是a,那么这就是答案
-
And the point is that the second derivative of A, with respect to V and T in this order is the same as the second derivative of a with respect to T and V in this order.
问题的关键在于A的二阶导数，对V和T以这样一个顺序求导,和对T和V以这样一个顺序,求导是一样的。
应用推荐