Mathematics and Computer Education, October 1st, 2005
The chain rule is one of the hardest ideas to convey to students in Calculus I. It is difficult to motivate, so that most students do not really see where it comes from; it is difficult to express in symbols even after it is developed; and it is awkward to put it into words, so that many students can't remember it and so can't apply it correctly.
In this note, we present a way to develop the chain rule in class that both motivates it and gives the students a much better understanding of what is going on. We presume that the students have seen the notion of the derivative at a point and that t...
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