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Consider the following function. f(x) = x* - 16x3 + 72x2 + 2 (a) Make a sign diagram for the first derivative. v ---Select--- ---Select--- e ---Select--- ---Select--- ---Select--- f (x) > 0 X = X = f '(x) < 0 f '(x) = 0 (b) Ma am for the second derivative. undefined ---Seiect--- e ---Select--- e ---Select--- ---Select--- ---Select--- O X = X = (c) Sketch the graph, showing all relative extreme points and inflection points.

Consider the following function. f(x) = x* - 16x3 + 72x2 + 2 (a) Make a sign diagram for the first derivative. v ---Select--- ---Select--- e ---Select--- ---Select--- ---Select--- f (x) > 0 X = X = f '(x) < 0 f '(x) = 0 (b) Ma am for the second derivative. undefined ---Seiect--- e ---Select--- e ---Select--- ---Select--- ---Select--- O X = X = (c) Sketch the graph, showing all relative extreme points and inflection points.

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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Consider the following function. f(x) = x4 - 16x3 + 72x2 + 2 (a) Make a sign diagram for the first derivative. v ---Select--- 3 f "(x) >0 f "(x) < 0 f (x) = 0 ---Select--- O ---Select--- O ---Select--- ---Select--- e x = x = (b) Ma am for the second derivative. undefined ---Seiect--- e ---Select--- e ---Select--- O ---Select--- e ---Select--- 8 X = X = (c) Sketch the graph, showing all relative extreme points and inflection points.
Transcribed Image Text:Consider the following function. f(x) = x4 - 16x3 + 72x2 + 2 (a) Make a sign diagram for the first derivative. v ---Select--- 3 f "(x) >0 f "(x) < 0 f (x) = 0 ---Select--- O ---Select--- O ---Select--- ---Select--- e x = x = (b) Ma am for the second derivative. undefined ---Seiect--- e ---Select--- e ---Select--- O ---Select--- e ---Select--- 8 X = X = (c) Sketch the graph, showing all relative extreme points and inflection points.
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