Suppose the function f(x) has a domain of all real numbers except x = -7. The first derivative of f(x) is shown below. 4(x - 3) (x + 7)³ Find the intervals where f(x) is increasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f'(x) = Find the intervals where f(x) is decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) Find the x-coordinates of all relative extrema on the graph of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Relative Maxima: Relative Minima:
Suppose the function f(x) has a domain of all real numbers except x = -7. The first derivative of f(x) is shown below. 4(x - 3) (x + 7)³ Find the intervals where f(x) is increasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f'(x) = Find the intervals where f(x) is decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) Find the x-coordinates of all relative extrema on the graph of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Relative Maxima: Relative Minima:
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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Transcribed Image Text:Suppose the function f(x) has a domain of all real numbers except x = -7. The first derivative of f(x) is shown below.
4(x − 3)
-
(x + 7)³
Find the intervals where f(x) is increasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
f'(x)
=
Find the intervals where f(x) is decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
Find the x-coordinates of all relative extrema on the graph of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Relative Maxima:
Relative Minima:
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