Given the function g(x) = 8x + 96x + 360x, find the first derivative, g'(x). %3D = (x),6 %3D Notice that g'(x) = 0 when r = 3, that is, g'(- 3) = 0. Now, we want to know whether there is a local minimum or local maximum at z = - 3, so we will use the second derivative test. Find the second derivative, g''(x). g''(x) = %3D Evaluate g''( – 3). 9'"(– 3) = %3D Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at x = - 3? At x = - 3 the graph of g(x) is ( Select an answer o Based on the concavity of g(x) at x = – 3, does this mean that there is a local minimum or local maximum at z = -3? At z = -3 there is a local Select an answer o Question Help: D Video O Message instructor Add Work Submit Question

Given the function g(x) = 8x + 96x + 360x, find the first derivative, g'(x). %3D = (x),6 %3D Notice that g'(x) = 0 when r = 3, that is, g'(- 3) = 0. Now, we want to know whether there is a local minimum or local maximum at z = - 3, so we will use the second derivative test. Find the second derivative, g''(x). g''(x) = %3D Evaluate g''( – 3). 9'"(– 3) = %3D Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at x = - 3? At x = - 3 the graph of g(x) is ( Select an answer o Based on the concavity of g(x) at x = – 3, does this mean that there is a local minimum or local maximum at z = -3? At z = -3 there is a local Select an answer o Question Help: D Video O Message instructor Add Work Submit Question

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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