ECON 11A Study Guide - Quiz Guide: Derivative Test
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Winter 2017: (7 pts) find the absolute minimum and absolute maximum values of the function g(u) = u3 9u2+15u+7 in the interval [0, 8]. Find critical point(s) g(cid:48)(u) = 3u2 18u + 15 = 3(u2 6u + 5) = 3(u 1)(u 5); g(cid:48)(u) = 0 = u1 = 1 or u2 = 5. Observation: both critical points lie in the interval [0, 8]. Evaluate g(u) at the endpoints of the interval and at the critical points in the interval the largest value will be the maximum and the smallest value will be the minimum u g(u) 8: (6 pts) find the absolute minimum value of the function h(t) = 0. 05t + 17 + (0, ). Justify your claim that the value you found is the absolute minimum. 200 t in the interval h(cid:48)(t) = 0. 05 200t 2; h(cid:48)(t) = 0 = 200t 2 = 0. 05 = t2 =
