Suppose h(x) = x² - 4x³. Which one of the following is true? Select one alternative: ○ The first derivative is decreasing for all x in the interval (0, 2) ○ The first derivative is decreasing for all x in the interval (0, 3) O The first derivative is decreasing for all x in the interval (3, ∞) ○ The first derivative is increasing for all x in the interval (0, ∞)

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
Chapter1: Functions
Section1.2: Functions Given By Tables
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Suppose h(x) = x² – 4ï³. Which one of the following is true?
Select one alternative:
○ The first derivative is decreasing for all ä in the interval (0, 2)
○ The first derivative is decreasing for all x in the interval (0, 3)
○ The first derivative is decreasing for all x in the interval (3, ∞)
○ The first derivative is increasing for all x in the interval (0, ∞)
Transcribed Image Text:Suppose h(x) = x² – 4ï³. Which one of the following is true? Select one alternative: ○ The first derivative is decreasing for all ä in the interval (0, 2) ○ The first derivative is decreasing for all x in the interval (0, 3) ○ The first derivative is decreasing for all x in the interval (3, ∞) ○ The first derivative is increasing for all x in the interval (0, ∞)
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