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Given the function g(x) 4x3 42.x2 + 120x, find the first derivative, g (x). g'(x) = 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 æ 5, so we will use the second derivative test. Find the second derivative, g''(a). = (x), ,6 Evaluate g''(5). g'"(5)

Given the function g(x) 4x3 42.x2 + 120x, find the first derivative, g (x). g'(x) = 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 æ 5, so we will use the second derivative test. Find the second derivative, g''(a). = (x), ,6 Evaluate g''(5). g'"(5)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the function g(x) = 4x3 42x² + 120x, find the first derivative, g' (æ ). g'(x) = Notice that g (x) O when x = 5, that is, g (5) 0. Now, we want to know whether there is a local minimum or local maximum at x = second derivative test. 5, so we will use the Find the second derivative, g'(x). Evaluate g''(5). g''(5)
Transcribed Image Text:Given the function g(x) = 4x3 42x² + 120x, find the first derivative, g' (æ ). g'(x) = Notice that g (x) O when x = 5, that is, g (5) 0. Now, we want to know whether there is a local minimum or local maximum at x = second derivative test. 5, so we will use the Find the second derivative, g'(x). Evaluate g''(5). g''(5)
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