y 2 X = y = f(x) 3 X = 4 (a) on what intervals is f increasing? (Enter your answer using interval notation.) X On what intervals is f decreasing? (Enter your answer using interval notation.) (b) At what values of x does f have a local maximum? (Enter your answers as a comma-separated list.) At what values of x does f have a local minimum? (Enter your answers as a comma-separated list.)
y 2 X = y = f(x) 3 X = 4 (a) on what intervals is f increasing? (Enter your answer using interval notation.) X On what intervals is f decreasing? (Enter your answer using interval notation.) (b) At what values of x does f have a local maximum? (Enter your answers as a comma-separated list.) At what values of x does f have a local minimum? (Enter your answers as a comma-separated list.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
2.8 Q1

Transcribed Image Text:The graph of the derivative f' of a function f is shown.
y
2
X =
y = f(x)
3
X =
4
10
(a) On what intervals is f increasing? (Enter your answer using interval notation.)
X
6
On what intervals is f decreasing? (Enter your answer using interval notation.)
(b) At what values of x does f have a local maximum? (Enter your answers as a comma-separated list.)
At what values of x does f have a local minimum? (Enter your answers as a comma-separated list.)

Transcribed Image Text:(c) If it is known that f(0) = 0, sketch a possible graph of f.
y
y
1
да
2
3
4
/5
X
у
1
2
2
3
3
-
4
5
X
6
6
X
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