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Q4/ For the function f(x) = 2x+x²-3x³ +6, answer the following: 1 a. What are the critical points off? b. Find the intervals on which f is increasing and the intervals on which f is decreasing. c. At what points, if any, does f assume local maximum and minimum values? d. Find the points of inflection, if any occur, and determine the concavity of the curve.

Q4/ For the function f(x) = 2x+x²-3x³ +6, answer the following: 1 a. What are the critical points off? b. Find the intervals on which f is increasing and the intervals on which f is decreasing. c. At what points, if any, does f assume local maximum and minimum values? d. Find the points of inflection, if any occur, and determine the concavity of the curve.

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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Q4/ For the function f(x) = 2x + x²-x³ + 6, answer the following: a. What are the critical points off? b. Find the intervals on which f is increasing and the intervals on which f is decreasing. c. At what points, if any, does f assume local maximum and minimum values? d. Find the points of inflection, if any occur, and determine the concavity of the curve.
Transcribed Image Text:Q4/ For the function f(x) = 2x + x²-x³ + 6, answer the following: a. What are the critical points off? b. Find the intervals on which f is increasing and the intervals on which f is decreasing. c. At what points, if any, does f assume local maximum and minimum values? d. Find the points of inflection, if any occur, and determine the concavity of the curve.
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