For those of you who feel the need for more chalenging problems or have problems sleeping at night: send me an e-mail and I guarantee that I'll send you a couple of exercises that'll make you sleep like a baby (you may have nightmares though!). I guess you'll have those exercises next week. Well guys, this should cover the first week of class, hopefully we'll do some examples of implicit differentiation and related rates. Try also exercise 82.Įxercise 8 Epistemology: The notion of "Area" came much before in history than the notion of "Tangent" or "Slope" (about two thousand years, the greeks knew the former, whereas Newton and Leibniz invented the later), why do we study derivatives before integrals?. Solve exercises 50 and 52 in page 133, section 3.3Įxercise 5 Solve exercise 66 and 70 in page 141, section 3.4Įxercise 6 Maxima and Minima: Solve exercises 12, 14 and 36 in section 3.6 of E&P, pages 160-162Įxercise 7 Solve problems 74 and 76 of section 3.7 pages 173 and 174. Try with exercise 66 on the next page.Įxercise 3 Differentiation: Solve exercises 38 and 40 of E&P section 3.1 pp 113. 85.Įxercise 2 Continuity: Solve exercises 38, 40, 48 and 50 of E&P section 2.4 pp. To avoid confusion, we ignore most of the subscripts here. Example 59 ended with the recognition that each of the given functions was actually a composition of functions. Solve problems 4, 10, 18, 26 and 28 of E&P section 2.3 pp. Use the Chain Rule to find the derivatives of the following functions, as given in Example 59. I'm really sorry Alejandro! This is a long homework, but also an easy one.Įxercise 1 limits: Solve exercises 6, 10, 24 and 32 of section 2.2 in E&P, pp. \) to find the rate at which the area is expanding.Homework 1 Homework 1, C&D Due monday July 11