MATH 1131Q Study Guide - Final Guide: Riemann Sum, University Of Manchester, Maxima And Minima
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MATH 1131Q Full Course Notes
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Read this first: please read each question carefully, the questions on the practice nals are just for your review. You should look at all the other practice exams and midterm 1 and midterm 2 when preparing for the nal exam. The nal exam is a comprehensive exam which will cover topics that are covered during the entire course. Do not make the mistake of assuming only those topics on the nal practice will be on the actual nal exam. Justi cation: (b) d dx (sin3 x) = 3 sin2 x cos x. If f(cid:48)(x) = ln x then (f (x2))(cid:48) = 4x ln x. (c) 2x x2 + 1 dx = ln(x2 + 1) + c. Sample final exam: use calculus to compute the following limits. If the limit does not exist, write dne. 4x x4 x2 4 (a) lim x 2 (b) lim x .