Given the function g(x) = 8x° – 36x + 48x, find the first derivative, g'(x). 0 3 (),6 Notice that g'(x) = 0 when = 1, that is, g'(1) = 0. %3D %3D Now, we want to know whether there is a local minimum or local maximum at x = second derivative test. Find the second derivative, g''(x). = 1, so we will use the g'"(x) -24 Evaluate g''(1). g'"(1) Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at a = 1? %3D At x = 1 the graph of g(x) is (Concave Down Based on the concavity of g(x) at a = 1, does this mean that there is a local minimum or local maximum at x = 1? At x = 1 there is a local Maximum Add Work Check Answer

Given the function g(x) = 8x° – 36x + 48x, find the first derivative, g'(x). 0 3 (),6 Notice that g'(x) = 0 when = 1, that is, g'(1) = 0. %3D %3D Now, we want to know whether there is a local minimum or local maximum at x = second derivative test. Find the second derivative, g''(x). = 1, so we will use the g'"(x) -24 Evaluate g''(1). g'"(1) Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at a = 1? %3D At x = 1 the graph of g(x) is (Concave Down Based on the concavity of g(x) at a = 1, does this mean that there is a local minimum or local maximum at x = 1? At x = 1 there is a local Maximum Add Work Check Answer

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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