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Student Guide:Week 5 is the week of Midterm #1. It should be in the long quiz section on Tuesday. After the midterm, we continue to develop basic rules for differentiation, including derivatives of exponential and trig functions 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 (of the sort in the textbook homework) that derivative computation becomes routine. Be especially careful with your algebra whenever you simplify an expression.
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