2-a. Use the given derivative f'(x) = x2(x + 2)(x – 1) to determine the x-coordinates of the local maxima and minima of f, and the intervals of increase and decrease. Sketch a possible graph of f (x). 2-b. Use the graph of f' and f" to write out the critical points and inflection points of f, the intervals on which f is increasing and decreasing, and the intervals of concavity. Then graph f assuming f (0) = 0.| y = "(x) y = f"(x)
2-a. Use the given derivative f'(x) = x2(x + 2)(x – 1) to determine the x-coordinates of the local maxima and minima of f, and the intervals of increase and decrease. Sketch a possible graph of f (x). 2-b. Use the graph of f' and f" to write out the critical points and inflection points of f, the intervals on which f is increasing and decreasing, and the intervals of concavity. Then graph f assuming f (0) = 0.| y = "(x) y = f"(x)
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:2-a. Use the given derivative f'(x) = x2(x + 2)(x – 1) to determine the x-coordinates of the local
maxima and minima of f, and the intervals of increase and decrease. Sketch a possible graph of f (x).
2-b. Use the graph of f' and f" to write out the critical points and inflection points of f, the intervals on
which f is increasing and decreasing, and the intervals of concavity. Then graph f assuming f (0) = 0.|
y = "(x)
y = f"(x)
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