Sketch the graph of a function f that is continuous on [0, 6] and has f(0) = 2, f'(4) = f'(5) = 0, but f'(2) does not exist, an absolute maximum at x = 6, a local maximum x = = 2, an absolute minimum at x = = 5, 4 is a critical number but there is no local maximum or minimum there. EAI® Education y EAI 506619

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Sketch the graph of a function f that is continuous on [0, 6] and has
f(0) = 2,
f'(4) = f'(5) = 0, but f'(2) does not exist,
an absolute maximum at x = 6,
a local maximum x =
= 2,
an absolute minimum at x = 5,
4 is a critical number but there is no local maximum or minimum there.
EA® Education
y
EAI 506619
X
Transcribed Image Text:Sketch the graph of a function f that is continuous on [0, 6] and has f(0) = 2, f'(4) = f'(5) = 0, but f'(2) does not exist, an absolute maximum at x = 6, a local maximum x = = 2, an absolute minimum at x = 5, 4 is a critical number but there is no local maximum or minimum there. EA® Education y EAI 506619 X
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