ECON 11A Study Guide - Midterm Guide: Maxima And Minima, Talking Lifestyle 954
Document Summary
Optimization econ 11a: find the critical points and critical values of the following functions, f (x) = 3x2 4x + 2. Critical point: f(cid:48)(x) = 0 = 6x 4 = 0 = x1 = Critical value f (x1) = f (2/3) = 2/3: g(t) = 2t3 9t2 24t + 7. Critical points: g(cid:48)(t) = 0 = 6t2 18t 24 = 0 = 6(t 4)(t + 1) = 0 = . Critical values: g(t1) = g(4) = 105 and g(t2) = g( 1) = 20: y = 5xe 0. 125x2. Critical point(s): (cid:26) t1 = 4 t2 = 1 y(cid:48) = 0 = 5e 0. 125x2 1. 25x2e 0. 125x2 = 0 = e 0. 125x2(5 1. 25x2) = 0. Recall that eu > 0 for all u, and therefore y(cid:48) = 0 = 5 1. 25x2 = 0 = x2 = 4 = (cid:26) x1 = 2 x2 = 2.
