7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x) is increasing or decreasing. (b) Find relative maximum and relative minimum values of f(x). (c) Determine intervals of concave upward and concave downward. (d) Find inflection point(s) of f(x) as an ordered pair (x, f(x)).
7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x) is increasing or decreasing. (b) Find relative maximum and relative minimum values of f(x). (c) Determine intervals of concave upward and concave downward. (d) Find inflection point(s) of f(x) as an ordered pair (x, f(x)).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞)
(a) Determine on which intervals f(x) is increasing or decreasing.
(b) Find relative maximum and relative minimum values of f(x).
(c) Determine intervals of concave upward and concave downward.
(d) Find inflection point(s) of f(x) as an ordered pair (x, f(x)).
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