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Given the function g(x) = 4x° + 36x + 60x, find the first derivative, g' (x). %3D = (2),6 Notice that g'(x) = 0 when r = – 1, that is, g'(- 1) = 0. %3D Now, we want to know whether there is a local minimum or local maximum at a = - 1, so we will use the second derivative test. Find the second derivative, g''(x). %3D (a), ,6 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 x = - 1? At x = - 1 the graph of g(x) is Select an answer o Based on the concavity of g(x) at x = – 1, does this mean that there is a local minimum or local maximum at x = - 1? At x = -1 there is a local Select an answer

Given the function g(x) = 4x° + 36x + 60x, find the first derivative, g' (x). %3D = (2),6 Notice that g'(x) = 0 when r = – 1, that is, g'(- 1) = 0. %3D Now, we want to know whether there is a local minimum or local maximum at a = - 1, so we will use the second derivative test. Find the second derivative, g''(x). %3D (a), ,6 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 x = - 1? At x = - 1 the graph of g(x) is Select an answer o Based on the concavity of g(x) at x = – 1, does this mean that there is a local minimum or local maximum at x = - 1? At x = -1 there is a local Select an answer

Calculus: Early Transcendentals
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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Given the function g(x) = 4x° + 3672 + 60x, find the first derivative, g'(x). g'(x) = Notice that g'(x) = 0 when x = – 1, that is, g'( – 1) = 0. Now, we want to know whether there is a local minimum or local maximum at x = – 1, so we will use the second derivative test. Find the second derivative, g''(x). g''(x) = 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 x = - 1? At x = - 1 the graph of g(x) is Select an answer Based on the concavity of g(x) at x = – 1, does this mean that there is a local minimum or local maximum at x = - 1? At x = 1 there is a local Select an answer O Question Help: D Video M Message instructor Add Work Submit Question
Transcribed Image Text:Given the function g(x) = 4x° + 3672 + 60x, find the first derivative, g'(x). g'(x) = Notice that g'(x) = 0 when x = – 1, that is, g'( – 1) = 0. Now, we want to know whether there is a local minimum or local maximum at x = – 1, so we will use the second derivative test. Find the second derivative, g''(x). g''(x) = 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 x = - 1? At x = - 1 the graph of g(x) is Select an answer Based on the concavity of g(x) at x = – 1, does this mean that there is a local minimum or local maximum at x = - 1? At x = 1 there is a local Select an answer O Question Help: D Video M Message instructor Add Work Submit Question
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