1. Find the optimum x* of f(x) = 5 log(x) - 0.25x over the domain x > 0(a) Is x* a local or global optimum?(b) Is x* a minimum or maximum?(c) Draw the function graphically, indicating x*.

f(x)=5log(x)−0.25xThe derivativef′(x)=5x−0.25for the extremaf′(x)=05x−0.25=0x=50.25=20Now the second…

Answered: 1. Find the optimum x* of f(x) =…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 7T

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1. Find the optimum x* of f(x) = 5log(x) - 0.25x over the domain x > 0 (a) Is x* a local or global optimum? (b) Is x* a minimum or maximum? (c) Draw the function graphically, indicating x*.