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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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Second Derivative Test 1. Find the first derivative of the function g(x) : 8x3 + 84x? + 288x. g'(x) = 24x + 168x + 288 2. Find the second derivative of the function. g"(x) = 48x + 168 3. Evaluate g"( – 4). g"( – 4)- -24 4. Is the graph of g(x) concave up or concave down at x = 4? At x = - 4 the graph of g(x) is concave down 5. Does the graph of g(x) have a local minimum or local maximum at x - 4? At x = - 4 there is a local maximum
Transcribed Image Text:Second Derivative Test 1. Find the first derivative of the function g(x) : 8x3 + 84x? + 288x. g'(x) = 24x + 168x + 288 2. Find the second derivative of the function. g"(x) = 48x + 168 3. Evaluate g"( – 4). g"( – 4)- -24 4. Is the graph of g(x) concave up or concave down at x = 4? At x = - 4 the graph of g(x) is concave down 5. Does the graph of g(x) have a local minimum or local maximum at x - 4? At x = - 4 there is a local maximum
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