So you are supposed to know, for example, if x is t^, you're supposed to know dx/dt is nt^.

接下来你就会知道,例如,如果x=t^,那么dx/dt=nt^

耶鲁公开课 - 基础物理课程节选

So, if you're doing physics, x2 work is the integral of force, dx, x1 to x2.

如果你正在干活，功就是力的积分，从x1，到。

麻省理工公开课 - 热力学与动力学课程节选

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

耶鲁公开课 - 生物医学工程探索课程节选

So v of t, v is the limit, and we use the symbol dx/dt for velocity.

点的速度等于一个极限,我们用符号dx/dt表示速度

耶鲁公开课 - 基础物理课程节选

You all know that when you do dy/dx, you're not supposed to cancel that d.

你们都知道 当你算dy/dx时,你不能把d约掉

耶鲁公开课 - 基础物理课程节选

On the right-hand side, I'm going to write as a dx/dt.

在等号右边,我要写成dx/dt

耶鲁公开课 - 基础物理课程节选

If X is the number of cells, then the rate of change of X, dX/dt, the rate of change of the cell population, how fast division is taking is proportional to the number of cells I have.

如果X是细胞数目,那么X的改变率就是dX/dt,就是细胞数目的改变率,分裂的速度有多快,和细胞数量呈比例关系

耶鲁公开课 - 生物医学工程探索课程节选

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