Suppose f has a continuous derivative whose values are given in the following table. 7 8 9 10 11 12 13 14 15 16 17 5 2 1 -2 -5 X f' (x) (a) Estimate the x-coordinates of critical points of f for 7 ≤ x ≤ 17. Enter your answers in increasing order rounded to one decimal place. X = i x = i -3-1 2 3 1 - 1 i
Suppose f has a continuous derivative whose values are given in the following table. 7 8 9 10 11 12 13 14 15 16 17 5 2 1 -2 -5 X f' (x) (a) Estimate the x-coordinates of critical points of f for 7 ≤ x ≤ 17. Enter your answers in increasing order rounded to one decimal place. X = i x = i -3-1 2 3 1 - 1 i
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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Transcribed Image Text:Suppose f has a continuous derivative whose values are given in the following table.
10 11 12 13 14 15 16 17
-2 -5 -3 -1 2
3
1
- 1
X
ƒ' (x)
X =
X =
789
2
(a) Estimate the x-coordinates of critical points of ƒ for 7 ≤ x ≤ 17.
Enter your answers in increasing order rounded to one decimal place.
X =
5
1
Transcribed Image Text:x =
eTextbook and Media
MO
(b) For each critical point, indicate if it is a local maximum of f, local minimum, or neither.
Enter your answers in increasing order rounded to one decimal place.
X =
X =
i
i
X = i
is
is
is
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Follow-up Question
Given the graph of f'(x) on the interval [0,4] determine where the global minimum and global maximum for f(x) occur.
![Show all work or briefly explain, state your solution clearly, and circle your
solution.
(a) Given the graph below of ƒ'(x) on the interval 0 ≤ x ≤ 4, determine where
the global minimum and global maximum for f(x) occur.
3
2
1
0
f'(x)
2
3
4
(b) Find all global maximum and global minimum values of f(x) = e(4x³-15x²–18x)
on the interval [—1, 1].](https://content.bartleby.com/qna-images/question/3a1479a8-40e8-4c2e-a3d0-7cd411dae3e5/0eac9c53-5c50-4999-9cc6-0931a3536525/xb09k4_processed.jpeg)
Transcribed Image Text:Show all work or briefly explain, state your solution clearly, and circle your
solution.
(a) Given the graph below of ƒ'(x) on the interval 0 ≤ x ≤ 4, determine where
the global minimum and global maximum for f(x) occur.
3
2
1
0
f'(x)
2
3
4
(b) Find all global maximum and global minimum values of f(x) = e(4x³-15x²–18x)
on the interval [—1, 1].
Solution
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