Consider the following. و + شہری ۔ شہر = (f(x (a) Find F(x) and f(x). f(x) = F(x) = (b) Graph Rx), F(x), and F"(x) with a graphing utility. دیا لم لال ه -5 150 100 501 . 501 -100 -150 Identify x-values where F"(x) > 0. (Enter your answer using interval notation.) 150 Identify x-values where f(x) < 0. (Enter your answer using interval notation.) 100 501 .50 -100 (c) Identify x-values where f(x)= 0. (Enter your answers as a comma-separated list.) -150 (d) Identify x-values where F'(x) has a maximum point or a minimum point. (Enter your answers as a comma-separated list.) 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.) د. y 1501 100 50 - 501 -100 -150 150 1 100 50 - 301 -100 -150 0
Consider the following. و + شہری ۔ شہر = (f(x (a) Find F(x) and f(x). f(x) = F(x) = (b) Graph Rx), F(x), and F"(x) with a graphing utility. دیا لم لال ه -5 150 100 501 . 501 -100 -150 Identify x-values where F"(x) > 0. (Enter your answer using interval notation.) 150 Identify x-values where f(x) < 0. (Enter your answer using interval notation.) 100 501 .50 -100 (c) Identify x-values where f(x)= 0. (Enter your answers as a comma-separated list.) -150 (d) Identify x-values where F'(x) has a maximum point or a minimum point. (Enter your answers as a comma-separated list.) 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.) د. y 1501 100 50 - 501 -100 -150 150 1 100 50 - 301 -100 -150 0
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
![Consider the following.
f(x) = x³ = 6x² +8
(a) Find f'(x) and f"(x).
f'(x) =
F"(x) =
(b) Graph f(x), f(x), and f"(x) with a graphing utility.
y
150
100
50
XXX.
-5
-50
-100
-150
x =
-5
y
150
100
x =
50
-50
-100
-150
(c) Identify x-values where f"(x) = 0. (Enter your answers as a comma-separated list.)
5
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.)
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.)
-5
y
150
100
50
-50
-100
-150
DO
-5
y
150
1000
50
-50
-100
-150
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5da6b72-6f0b-4b5b-b99e-129f8d660be8%2Fa05729a3-4b47-41f2-8638-470a4d23cf29%2Fo40cy8_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
f(x) = x³ = 6x² +8
(a) Find f'(x) and f"(x).
f'(x) =
F"(x) =
(b) Graph f(x), f(x), and f"(x) with a graphing utility.
y
150
100
50
XXX.
-5
-50
-100
-150
x =
-5
y
150
100
x =
50
-50
-100
-150
(c) Identify x-values where f"(x) = 0. (Enter your answers as a comma-separated list.)
5
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.)
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.)
-5
y
150
100
50
-50
-100
-150
DO
-5
y
150
1000
50
-50
-100
-150
X
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