Determine the intervals where the graph is increasing, decreasing, has a relative maxiumum , and/or has a relative minimum. f(x) = 11x^3 - 8x^2
Determine the intervals where the graph is increasing, decreasing, has a relative maxiumum , and/or has a relative minimum. f(x) = 11x^3 - 8x^2
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
Determine the intervals where the graph is increasing, decreasing, has a relative maxiumum , and/or has a relative minimum.
f(x) = 11x^3 - 8x^2
Expert Solution
Step 1
A function is increasing in the interval: , if for . A function is decreasing in the interval: , if for .
The double derivative test is done to determine the local maximum or minimum of a function.
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