Show work Given the function g(x) = 6x - 27x 72x, find the first derivative, g'(x).g'(2) =Notice that g'(x) = 0 when x =4, that is, g'(4) = 0.%3DNow, we want to know whether there is a local minimum or local maximum at x = 4, so we will use thesecond derivative test.Find the second derivative, g''(x).= (x),,6Evaluate g''(4).g''(4) =Based on the sign of this number, does this mean the graph of g ) is concave up or concave down at x = 4?At x = 4 the graph of g(x) is Select an answerBased on the concavity of g(x) at x = 4, does this mean that there is a local minimum or local maximum atI = 4?At x = 4 there is a local Select an answerAdd WorkCheck Answer

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Given the function g(a) = 6x- 27x 72x, find the first derivative, g'(x). %3D g'(x) = %3| Notice that g'(x) = 0 when x = 4, that is, g'(4) = 0. Now, we want to know whether there is a local minimum or local maximum at x = 4, so we will use the second derivative test. Find the second derivative, g''(x). = (x),,6 Evaluate g''(4). g' (4) = %3D Based on the sign of this number, does this mean the graph of g) is concave up or concave down at r = 4? At x = 4 the graph of g(x) is Select an answer Based on the concavity of g(x) at x = 4, does this mean that there is a local minimum or local maximum at I = 4? At x = 4 there is a local Select an answer Add Work Check Answer

Given the function g(a) = 6x- 27x 72x, find the first derivative, g'(x). %3D g'(x) = %3| Notice that g'(x) = 0 when x = 4, that is, g'(4) = 0. Now, we want to know whether there is a local minimum or local maximum at x = 4, so we will use the second derivative test. Find the second derivative, g''(x). = (x),,6 Evaluate g''(4). g' (4) = %3D Based on the sign of this number, does this mean the graph of g) is concave up or concave down at r = 4? At x = 4 the graph of g(x) is Select an answer Based on the concavity of g(x) at x = 4, does this mean that there is a local minimum or local maximum at I = 4? At x = 4 there is a local Select an answer 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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