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1·I take the time derivative.

我会计算时间导数。

2·The second time derivative is the constant acceleration.

它的二阶导数就是这个恒加速度。

3·Some first order time derivative terms are contained in the equations.

方程中含有强迫场的一阶时间导数项。

4·I'm going to take the time derivative just as I did in the case of the spring.

我将要提取时间，就像我在，弹力那个例子里那样。

5·There is a power law relation between the modificatory factor and the time derivative of the period.

从统计上得到修正因子与周期变率的幂律关系。

6·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。

7·We've done this before-- this is the conservation of energy, and in order to find the period of the simple harmonic oscillation, we take the time derivative.

以前算过-,这是能量守恒，为了算出,简谐振荡的周期，我们求时间导数。

8·And so I can substitute that in there, and so I get that the power is the derivative of this versus time.

所以我可以代入这里，得到那个功率，是相对时间的衍生物。

9·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。

10·And so we're going to take the derivative versus time of this equation.

我们要求这个，方程的时间导数。