f'(x) = f"(x) = (x) and (b) Graph f(x), f'(x), and f"(x) with a graphing utility. y 150 -5 100 50 -50 -100 -150 5 X -5 y 150 100 50 -50 -100 -150 X -5 y 150 1000 50 -50 -100 -150 5 X Q

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
y
150
100
50
X
-5
-50
-100
-150
X =
X
(c) Identify x-values where f"(x) = 0. (Enter your answers as a comma-separated list.)
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.)
Transcribed Image Text:y 150 100 50 X -5 -50 -100 -150 X = X (c) Identify x-values where f"(x) = 0. (Enter your answers as a comma-separated list.) 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.)
Consider the following.
f(x) = x3 - 6x2 + 1
=
(a) Find f'(x) and f"(x).
f'(x) :
=
f"(x) :
O
=
(b) Graph f(x), ƒ'(x), and f'(x) with a graphing utility.
-5
الا
y
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- 100
- 150
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Transcribed Image Text:Consider the following. f(x) = x3 - 6x2 + 1 = (a) Find f'(x) and f"(x). f'(x) : = f"(x) : O = (b) Graph f(x), ƒ'(x), and f'(x) with a graphing utility. -5 الا y 150 100 50 -50 - 100 - 150 5 X -5 y 150 100 50 -50 -100 - 150 X -5 y 150 100 50 -50 -100 - 150 5 X
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