Consider the following function. f(x) = x* - 8x3 + 18x2 + (a) Make a sign diagram for the first derivative. ---Select--- e ---Select--- 8 ---Select--- ---Select--- 8 ---Select--- 8 X = (b) Make a sign diagram for the second derivative. ---Select--- 8 x = ---Select--- 8 ---Select--- ---Select--- e ---Select--- (c) Sketch the graph, showing all relative extreme points and inflection points.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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Consider the following function.
f(x) = x* - 8x3 + 18x² + 4
(a) Make a sign diagram for the first derivative.
---Select--- e
---Select--- e
---Select--- e
---Select--- e
---Select--- E
X =
(b) Make a sign diagram for the second derivative.
---Select--- e
---Select--- e
---Select--- e
---Select--- e
---Select---
X =
X =
(c) Sketch the graph, showing all relative extreme points and inflection points.
Transcribed Image Text:Consider the following function. f(x) = x* - 8x3 + 18x² + 4 (a) Make a sign diagram for the first derivative. ---Select--- e ---Select--- e ---Select--- e ---Select--- e ---Select--- E X = (b) Make a sign diagram for the second derivative. ---Select--- e ---Select--- e ---Select--- e ---Select--- e ---Select--- X = X = (c) Sketch the graph, showing all relative extreme points and inflection points.
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