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5. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b) Find the local maximum and minimum points. c) Find the intervals on which the graph is concave up/down d) Find the inflection point(s).

5. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b) Find the local maximum and minimum points. c) Find the intervals on which the graph is concave up/down d) Find the inflection point(s).

Advanced Engineering Mathematics
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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6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b) Find the local maximum and minimum points. c) Find the intervals on which the graph is concave up/down d) Find the inflection point(s).
Transcribed Image Text:6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b) Find the local maximum and minimum points. c) Find the intervals on which the graph is concave up/down d) Find the inflection point(s).
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