Given the function g(x) = 8x° - 84x + 288x, find the first derivative, g'(x). g'(x) = Notice that g'(x) = 0 when a = 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) = Evaluate g"(3). g''(3) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at z = 3? [Answer either up or down -- watch your spelling!!] At z = 3 the graph of g(x) is concave Based on the concavity of g(x) at a = 3, does this mean that there is a local minimum or local maximum at a = 3? [Answer either minimum or maximum -- watch your spelling!] At x = 3 there is a local

Given the function g(x) = 8x° - 84x + 288x, find the first derivative, g'(x). g'(x) = Notice that g'(x) = 0 when a = 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) = Evaluate g"(3). g''(3) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at z = 3? [Answer either up or down -- watch your spelling!!] At z = 3 the graph of g(x) is concave Based on the concavity of g(x) at a = 3, does this mean that there is a local minimum or local maximum at a = 3? [Answer either minimum or maximum -- watch your spelling!] At x = 3 there is a local

Name: Given the function g(x)8x384x? + 288x, find the first derivative, g'(
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Description: Given the function g(x)8x384x? + 288x, find the first derivative, g'(x).g'(x) =Notice that g'(æ) = 0 when x3, that is, g'(3) = 0.Now, we want to know whether there is a local minimum or local maximum at a == 3, so we will usethe second derivative te

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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