3. Sketch a graph of a function that satisfies the following conditions: • f'(x) > 0 when x < -2 and when 2 4 • f(0) = 5 • • ● f'(-2) = 0 and f'(4) = 0 f"(x) < 0 when x < -2 and when 3 < x < 9 f"(x) > 0 when - 2 < x <3 and when x > 9 -8 -6 -+ -구 4 2 + So y 2 -6 8 X 1
3. Sketch a graph of a function that satisfies the following conditions: • f'(x) > 0 when x < -2 and when 2 4 • f(0) = 5 • • ● f'(-2) = 0 and f'(4) = 0 f"(x) < 0 when x < -2 and when 3 < x < 9 f"(x) > 0 when - 2 < x <3 and when x > 9 -8 -6 -+ -구 4 2 + So y 2 -6 8 X 1
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:3. Sketch a graph of a function that satisfies the following conditions:
• f'(x) > 0 when x < -2 and when 2<x<4
f'(x) < 0 when x > 4
• f(0) = 5
•
•
●
f'(-2) = 0 and f'(4) = 0
f"(x) < 0 when x < -2 and when 3 < x < 9
f"(x) > 0 when - 2 < x <3 and when x > 9
-8
-6
-+
-구
4
2
+
So
y
2
-6
8
X
1
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