Collect maximum information you can and sketch the graph of 1 y = x -3x3
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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Transcribed Image Text:8. Collect maximum information you can and sketch the graph of
1
y = x -3x3
Expert Solution
Step 1: Information
(i) The function is continuous
(ii) Derivative of the function exist
(iii) is the local maxima and is the local minima
(iv) The graph intersect the axis at and
(v) Derivative of the function is which is not continuous at
(vi) Form to the function is monotonically decreasing and from the function is monotonically increasing .
(vii) Form to the function is monotonically increasing and from the function is monotonically decreasing
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