3x2 - 1 3 (x² – 1) 6 (x2 -2) Given f (x) = f'(x) = - x3 and f"(x) = %3D x4 (a) Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any. (b) Determine the intervals wheref is concave up, concave down, and find the inflection point(s), if any.

3x2 - 1 3 (x² – 1) 6 (x2 -2) Given f (x) = f'(x) = - x3 and f"(x) = %3D x4 (a) Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any. (b) Determine the intervals wheref is concave up, concave down, and find the inflection point(s), if any.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.4: Solving Nonlinear Equations

Problem 27E: Water Flea F. E Smith has reported on population growth of the water flea. In one experiment, he...

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Question

3x2 - 1
3 (x² – 1)
6 (x2 -2)
Given f (x) =
f'(x) = -
x3
and f"(x) =
%3D
x4
(a) Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if
any.
(b) Determine the intervals wheref is concave up, concave down, and find the inflection point(s), if any.

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