MATH113 Study Guide - Final Guide: Maxima And Minima
Document Summary
Name: (20 points) (a) find the domain of f (x) = Answer:(2, 5] (cid:113) 5 x x 2 . (b) find an equation of the tangent line to the curve y = Answer: y = x + 1 (c) evaluate. 2x tan(3x) x4 + 3 at the point ( 1, 2) . (d) let f be a continuous function on [a, b]. Which of the following statements is false: (a) (b) (c) (d) f always has an absolute maximum on [a, b]. f always has an absolute minimum on [a, b]. If f(cid:48)(c) = 0 for some c in (a, b), then f has a local extremum at c. If f has a local extremum x = c in (a, b), then c is a critical number. Answer: c (e) find the horizontal asymptotes of the function f (x) = 1 2x .
