1·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？
2·And then, what's the derivative in that direction?
那么，那个方向的导数是什么呢？
3·One way to think about this intuitively if the derivative is very large the function is changing quickly, and therefore we want to take small steps.
关于这个方法很直观的一点想法是，如果导数非常大，函数也就变化的非常快，因此我们想一小步一小步的来。
4·So, you might think acceleration is just the derivative of speed.
你们可能认为，加速度只是速度的导数。
5·And, not every function has a derivative.
不是每个函数都有导数。
1·Please attribute to the distributor of your copy or derivative.
请将你的副本和衍生物归属于分发者。
2·He's just insisting that we cannot understand writing to be derivative.
他只是想说明我们不能将书写理解成为衍生物。
3·By 1897 a synthetic derivative (acetyl salicylic acid) of the plant's active ingredient (salicin) was created. This allowed aspirin to become the most widely used medicine in the world.
1897年，这种植物中的有效成分的人工合成衍生物诞生了，于是阿司匹林变成了世界上应用最广泛的药品。
4·A decade ago most ethylene in North America was made using naphtha, an oil derivative: it is this process that has propylene as its by-product.
十年前，北美的大多数乙烯是石油脑(一种石油衍生物)所制：其生产过程所产生的副产物正是丙烯。
5·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。
1·In the U.S., 15 Wall Street Banks have pledged to do more than 90% of their eligible credit and interest-rate derivative trades through central clearinghouses by year end.
在美国，有15家华尔街银行已保证说，到年底时，会将其90%以上符合规定的信贷和利率衍生品交易通过中央结算所进行。
2·A homebuyer in Miami, say, could offset the risk of price decline in the local area with a housing derivative.
比如说，通过房价衍生品，迈阿密的房屋购买者可以对冲该地区房价的下跌风险。
3·Total return swaps — a type of derivative that lost favor during the crisis — are among the instruments regaining popularity, bankers and investors say.
银行家和投资者说，总收益掉期是重获青睐的工具之一，这类衍生品在危机期间受到了冷落。
4·While they appreciated the work I did managing the overall derivative risk for the flagship fund, my compensation was based on my smaller trading account.
虽然他们欣赏我在管理旗舰基金整体衍生品风险方面所付出的劳动，但我的奖金基于那个规模较小的交易账户的业绩。
5·In that trade, investors bought credit insurance on Greece from big Banks, which serve as market makers in cash and derivative trades.
在这种交易中，投资者从大银行手中购买针对希腊的信用保险产品，银行在现金和衍生品交易中起到做市商的作用。
1·Derivative (2007) Financial instrument or analytical tool that engendered the meltdown.
金融衍生产品(2007)：导致金融危机爆发的金融工具或分析手段。