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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
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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2.8  Q1

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: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.)
(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
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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