onsider the following function. f(x) = x4 - 16x³ + 72x² + 8 (a) Make a sign diagram for the first derivative. --Select--- v ---Select-- V X = (b) Make a sign diagram ---Select--- V for the second ---Select--- v X = ---Select--- V derivative. ---Select--- V ---Select--- V X = ---Select--- X = --Select-v -Select-- ✓

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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Question
Consider the following function.
f(x) = x4 - 16x³ + 72x² + 8
(a) Make a sign diagram for the first derivative.
--Select--- v
---Select-- v
X =
---Select---
(b) Make a sign diagram for the second derivative.
---Select--- V
---Select--- V
---Select---
X =
---Select--- ✓
X =
---Select--- v
X =
--Select-v
--Select-- v
Transcribed Image Text:Consider the following function. f(x) = x4 - 16x³ + 72x² + 8 (a) Make a sign diagram for the first derivative. --Select--- v ---Select-- v X = ---Select--- (b) Make a sign diagram for the second derivative. ---Select--- V ---Select--- V ---Select--- X = ---Select--- ✓ X = ---Select--- v X = --Select-v --Select-- v
O
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Transcribed Image Text:O -6 -6 -4 -4 IP -2 400 -2 200 200 -400 у 400 200 -200 2 2 IP 4 4 6 IP 6 X X е -6 -4 -6 -4 IP -2 200 -200- -400 -2 у 400 200 -200 2 2 IP 4 4 6 IP 6 X X
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