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4.2 - MATH1081 Monday,February14 Chapter4Section2 QUOTIENTS...

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MATH 1081 Monday, February 14 Chapter 4 – Section 2 DERIVATIVES OF PRODUCTS AND QUOTIENTS Homework #5 (due 2/21): Section 4.2 #8, 22, 32, 46, 52 Section 4.3 #34, 38, 56, 62 Clicker Check-in: Choose any letter to check in now.
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Last time, we saw the “Sum and Difference” rule of differentiation. Because it is so easy to apply, we hardly notice when we do. d dx x 3 + x 2 x 9 = d dx x 3 + d dx x 2 d dx x [ ] d dx 9 [ ] = 3 x 2 + 2 x 1 0 However, there really is a rule there and it’s quite special that it works so nicely when we are adding/subtracting terms. As we will see today, when we are multiplying and dividing terms, the rules are more complicated.
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Before we get into those new rules, let’s do some problems that just require the four rules we saw last time. Also, try to keep in mind what we are measuring with the derivative: the rate of change or the slope. When we find f ' x ( ) whether it be by the limit definition or by the rules of
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