Consider the following function. f(x) = x4 16x³ + 72x² + 8 (a) Make a sign diagram for the first derivative. ---Select--- X ---Select--- X X = X (b) Make a sign diagram for the second derivative. ---Select--- ✓ X ---Select--- X X X = ---Select--- X ---Select--- X X = X = ---Select--- X ---Select--- ✓ (c) Sketch the graph, showing all relative extreme points and inflection points. X X ---Select--- ✓ X ---Select--- ✓ X
Consider the following function. f(x) = x4 16x³ + 72x² + 8 (a) Make a sign diagram for the first derivative. ---Select--- X ---Select--- X X = X (b) Make a sign diagram for the second derivative. ---Select--- ✓ X ---Select--- X X X = ---Select--- X ---Select--- X X = X = ---Select--- X ---Select--- ✓ (c) Sketch the graph, showing all relative extreme points and inflection points. X X ---Select--- ✓ X ---Select--- ✓ X
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
Section3.5: Graphical Differentiation
Problem 2E
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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--- X
---Select--- X
X =
(b) Make a sign diagram for the second derivative.
---Select--- X
---Select--- ✓X
X =
-Select--- ✓X
---Select--x
x =
X =
(c) Sketch the graph, showing all relative extreme points and inflection points.
--Select--- X
--Select--x
X
X
--Select--- ✓ X
---Select--- X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59a50665-5669-44a2-bc3e-57fa6d3e0803%2F0b51566c-907c-4f5f-94a6-6743f40d05e3%2Fx0pw4q_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following function.
f(x) = x4 16x³ + 72x² +8
(a) Make a sign diagram for the first derivative.
---Select--- X
---Select--- X
X =
(b) Make a sign diagram for the second derivative.
---Select--- X
---Select--- ✓X
X =
-Select--- ✓X
---Select--x
x =
X =
(c) Sketch the graph, showing all relative extreme points and inflection points.
--Select--- X
--Select--x
X
X
--Select--- ✓ X
---Select--- X
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