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Student Guide:Week 5 is the week of the midterm. We develop further basic derivative topics: more on the chain rule and implicit differentiation. Once all of the basic rules are mastered, we can compute a large number of derivatives without resorting to limit computations. (However, it is important to note that all these rules are established using limits; in other words, limits must be used at some stage of the game.) The ability to compute derivatives using the "rules" is a skill that takes practice. You should do enough of these problems so that derivative computation becomes routine. Be especially careful with your algebra whenever you simplify an expression. |
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