Given the function g(x) 4x³ + 6x? – 240x, find the first derivative, g'(x). g'(x) Preview Notice that g'(x) = 0 when x 5, that is, g'( – 5) = 0. Now, we want to know whether there is a local minimum or local maximum at x = will use the second derivative test. Find the second derivative, g''(x). – 5, so we g''(x) = Preview Evaluate g''( – 5). g''( – 5) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at x = At x = 5? 5 the graph of g(x) is Select an answer Based on the concavity of g(x) at x = local maximum at x = At x = – 5, does this mean that there is a local minimum or 5? – 5 there is a local Select an answer

Given the function g(x) 4x³ + 6x? – 240x, find the first derivative, g'(x). g'(x) Preview Notice that g'(x) = 0 when x 5, that is, g'( – 5) = 0. Now, we want to know whether there is a local minimum or local maximum at x = will use the second derivative test. Find the second derivative, g''(x). – 5, so we g''(x) = Preview Evaluate g''( – 5). g''( – 5) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at x = At x = 5? 5 the graph of g(x) is Select an answer Based on the concavity of g(x) at x = local maximum at x = At x = – 5, does this mean that there is a local minimum or 5? – 5 there is a local Select an answer

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 8CR

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