Q4/ For the function f(x) = x¹-4x³ + 10. 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.
Q4/ For the function f(x) = x¹-4x³ + 10. 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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Transcribed Image Text:Q4/ For the function f(x) = x - 4x³ + 10.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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