Suppose that f is given for x in the interval [0, 12] by x = 0 2 4 6 8 10 12 f(x) = 1922 23 22 19 17 13 A. Estimate ƒ' (2) using the values of f in the table. ƒ' (2) ≈ B. For what values of x does f'(x) appear to be positive? 0 (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10).) C. For what values of x does f'(x) appear to be negative? (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10).)
Suppose that f is given for x in the interval [0, 12] by x = 0 2 4 6 8 10 12 f(x) = 1922 23 22 19 17 13 A. Estimate ƒ' (2) using the values of f in the table. ƒ' (2) ≈ B. For what values of x does f'(x) appear to be positive? 0 (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10).) C. For what values of x does f'(x) appear to be negative? (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10).)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can someone please help and explain
![Suppose that f is given for x in the interval [0, 12] by
X = 0 2 4 6 8 10 12
f(x) = 19 22 23 22 19 17 13
A. Estimate f'(2) using the values of f in the table.
ƒ' (2) ~
B. For what values of x does f'(x) appear to be positive?
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or
(1,5),(7,10).)
C. For what values of x does f'(x) appear to be negative?
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or
(1,5),(7,10).)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afd835b-b164-4187-8cbf-01a7fb9b88d5%2F04651972-c4dc-41a3-b3be-e92ebe77ebf9%2Fvpe2wn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that f is given for x in the interval [0, 12] by
X = 0 2 4 6 8 10 12
f(x) = 19 22 23 22 19 17 13
A. Estimate f'(2) using the values of f in the table.
ƒ' (2) ~
B. For what values of x does f'(x) appear to be positive?
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or
(1,5),(7,10).)
C. For what values of x does f'(x) appear to be negative?
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or
(1,5),(7,10).)
Expert Solution
Step 1
The given function values in the table,
| x | 0 | 2 | 4 | 6 | 8 | 10 | 12 |
| f(x) | 19 | 22 | 23 | 22 | 19 | 17 | 13 |
We have to find the value of , the interval where to positive and the interval where to negative.
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