MATH 1505 Study Guide - Midterm Guide: Maxima And Minima, Mean Value Theorem, Asymptote
16 Oct 2018
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Instructions: please write your name, student number and nal answers in ink, this is a closed-book test, duration 50 minutes, non-programmable, non-graphing calculators are permitted. Nected devices or other aids are permitted: there are six questions on seven pages. Your work must justify the answer you give. However, your test grade will be counted out of 50. 60: (4 + 4 pts) consider the function f (x) = x3 3x + 27: (a) find the critical points and determine local (relative) maximum and minimum values of f (x) (if any). Answer: (x) = 3x2 3 = 0 = x2 = 1 = x = 1: f. Hence, x = 1 and x = 1 are critical points. x < 1 = f (x) = 3x2 3 > 0: 1 < x < 1 = f (x) = 3x2 3 < 0: x > 1 = f (x) = 3x2 3 > 0:
