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Show me a place where that's not true where the tangent line will be really bad.
请给我个这个原则不对的例子,也就是说切线没起到相应作用的例子。
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that you know it's not going to happen or you know it's not useful to do.
你知道这事没发生的可能，或者这么做并不会起到什么作用。
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But some of the effects are more subtle and more interesting and you might not expect this.
但有些作用没那么明显,而且更有趣，可能会出乎你们意料。
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It starts even before it goes in our mouth.
食物甚至在还没入口时就已经起作用了
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So it's almost as if functions really are useless because they have no ultimate effect.
所以几乎是函数是没起作用的,因为它们没有最终的效果。
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Yeah. Suppose I choose it right down there I guess 0. Well, the tangent there will not even have an x intercept. So I'm really going to be dead in the water.
好，如果我选猜想数为0，好吧,这个点的切线甚至和x轴都没交点,所以在这儿这一原则,真的不起作用了。
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It doesn't do anything but at least that's one bite out of this problem.
虽然这个没起到任何实质性的作用,但是我们朝着我们要解决的问题迈出了一小步。
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