The graph of the derivative f' of a function fis shown. y y = f(x) (a) On what intervals is f increasing? (Enter your answer using interval notation.) ,5 On what intervals is f decreasing? (Enter your answer using interval notation.) [0) (b) At what values of x does f have a local maximum? (Enter your answers as a comma-separated list.) x = 00 At what values of x does f have a local minimum? (Enter your answers as a comma-separated list.) 5 2 (c) If it is known that f(0) = 0, sketch a possible graph of f. 3. 2.
The graph of the derivative f' of a function fis shown. y y = f(x) (a) On what intervals is f increasing? (Enter your answer using interval notation.) ,5 On what intervals is f decreasing? (Enter your answer using interval notation.) [0) (b) At what values of x does f have a local maximum? (Enter your answers as a comma-separated list.) x = 00 At what values of x does f have a local minimum? (Enter your answers as a comma-separated list.) 5 2 (c) If it is known that f(0) = 0, sketch a possible graph of f. 3. 2.
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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 alt="(c) If it is known that f(0) = 0, sketch a possible graph of f.
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Transcribed Image Text:(c) If it is known that f(0) = 0, sketch a possible graph of f.
y
y
5
2
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y
1
2
4
1
2
3
4
2.

Transcribed Image Text:The graph of the derivative f' of a function f is shown.
y
y = f(x)
1
(a) On what intervals is f increasing? (Enter your answer using interval notation.)
,5
On what intervals is f decreasing? (Enter your answer using interval notation.)
[0)
5
(b) At what values of x does f have a local maximum? (Enter your answers as a comma-separated list.)
X =
At what values of x does f have a local minimum? (Enter your answers as a comma-separated list.)
5
X =
(c) If it is known that f(0) = 0, sketch a possible graph of f.
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