Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) Identify x-values where f"(x) < 0. (Enter your answer using interval notation.) (d) Identify x-values where f'(x) has a maximum point or a minimum point. (Enter your answers as a comma-separated lis X = Identify x-values where f'(x) is increasing. (Enter your answer using interval notation.) Identify x-values where f'(x) is decreasing. (Enter your answer using interval notation.)

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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Consider the following.
f(x) = x³ - 6x² + 1
(a) Find f'(x) and f"(x).
3x² - 12x
f'(x)
f"(x)
=
=
6x - 12
(b) Graph f(x), f'(x), and f'(x) with a graphing utility.
-5
y
150
100
50
X
-5
y
150
100
50
Transcribed Image Text:Consider the following. f(x) = x³ - 6x² + 1 (a) Find f'(x) and f"(x). 3x² - 12x f'(x) f"(x) = = 6x - 12 (b) Graph f(x), f'(x), and f'(x) with a graphing utility. -5 y 150 100 50 X -5 y 150 100 50
Identify x-values where f"(x) > 0. (Enter your answer using interval notation.)
Identify x-values where f"(x) < 0. (Enter your answer using interval notation.)
(d) Identify x-values where f'(x) has a maximum point or a minimum point. (Enter your answers as a comma-separated list.)
X =
Identify x-values where f'(x) is increasing. (Enter your answer using interval notation.)
Identify x-values where f'(x) is decreasing. (Enter your answer using interval notation.)
Transcribed Image Text:Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) Identify x-values where f"(x) < 0. (Enter your answer using interval notation.) (d) Identify x-values where f'(x) has a maximum point or a minimum point. (Enter your answers as a comma-separated list.) X = Identify x-values where f'(x) is increasing. (Enter your answer using interval notation.) Identify x-values where f'(x) is decreasing. (Enter your answer using interval notation.)
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