'Happiness' is a derivative of 'happy'.
happiness是happy的派生词。
我会计算时间导数。
And then we take the derivative.
然后求导。
“导数”又是什么?
And, not every function has a derivative.
不是每个函数都有导数。
Can you tell me what a derivative is?
你能告诉我衍生产品是什么吗?
The language is a derivative of plain Rexx.
此语言派生自普通的Rexx。
So, what does the second derivative test say?
那么二阶导数判定是怎样的呢?
Just taking the derivative in the usual way.
以通常的方式求导。
And then, what's the derivative in that direction?
那么,那个方向的导数是什么呢?
The second derivative, they say, is turning positive.
他们说二阶导数转为正值了。
OK, so that's the definition of a partial derivative.
好的,那就是偏导数的定义。
And that is an approximation for partial derivative.
这就是偏导的近似值。
So, it's the second derivative of a position vector.
它是位置向量的二阶导。
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。
That's the first derivative of the position versus time.
它就是位置,对时间的一阶导数。
Now, if we compare these two, we will get the derivative of h.
比较这两个,我们会得到h的导数。
But, we can still ask, is there a derivative in every direction?
但我们仍想问,是否在每个方向上都有一个导数呢?
Well, it's actually the directional derivative in that direction.
它其实是那个方向的方向导数。
Well, it is given by the derivative of this with respect to u.
它由对u的偏导给出。
Any derivative work, then, gets the benefit of the patent license.
任何衍生产品都因此得益于此专利许可证。
So, product rule is OK for taking the derivative of a dot product.
那么乘积法则对点乘求导没问题。
Well, we have seen that it is given by the partial derivative f sub x.
我们已经发现,它由f对x的偏导数给出。
So, at that point, the partial derivative is zero with respect to x.
因此这点上x的偏导为零。
The minus sign here disappears when you take the derivative on the bottom.
当对下面做微分的时候,这里的负号就消失了。
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。
I just need to take log of it, take its derivative with respect to temperature.
我只需要取它的对数,对温度微分。
Somehow, when you have a partial derivative, you must resist the urge of simplifying things.
当遇到偏导数时,一定记住,不能约分。
Derivative works are far more complicated.
派生作品更加复杂。
Derivative works are far more complicated.
派生作品更加复杂。
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