• Domain of ƒ is R – 0 • f(x) = 0 if x = 1. • lim,→t f(x) = 0 and lim,→0+ f(x) = lim,→0- f(x) = -o∞ -00 • f'(x) = 0 if x 2 and f'(x) does not exist at x = 0 and f(2) = 9/2. • f'(x) < 0 on (-∞,0) U (2, 0) and f'(x) > 0 on (0,2) f"(x) = 0 if x = 3 and f"(x) does not exist at x = 0 and f(3) = 4. • f"(x) < 0 on (-0, 0) U (0, 3) and f"(x) > 0 on (3, 00) A Complete the sign table: 3 f'(x) f"(x) f (x)
• Domain of ƒ is R – 0 • f(x) = 0 if x = 1. • lim,→t f(x) = 0 and lim,→0+ f(x) = lim,→0- f(x) = -o∞ -00 • f'(x) = 0 if x 2 and f'(x) does not exist at x = 0 and f(2) = 9/2. • f'(x) < 0 on (-∞,0) U (2, 0) and f'(x) > 0 on (0,2) f"(x) = 0 if x = 3 and f"(x) does not exist at x = 0 and f(3) = 4. • f"(x) < 0 on (-0, 0) U (0, 3) and f"(x) > 0 on (3, 00) A Complete the sign table: 3 f'(x) f"(x) f (x)
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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Question
for a given function f(x) how is sign table
Transcribed Image Text:Domain of f is R – 0
• f(x) = 0 if x = 1.
• lim,→t f(x) = 0 and lim,→0+ f(x) = lim,→0- f(x) = -o∞
• f'(x) = 0 if x
• f'(x) < 0 on (-∞,0) U (2, 0) and f'(x) > 0 on (0,2)
2 and f'(x) does not exist at x =
0 and f(2) = 9/2.
f"(x) = 0 if x =
3 and f"(x) does not exist at x =
0 and f(3) = 4.
• f"(x) < 0 on (-0, 0) U (0, 3) and f"(x) > 0 on (3, 00)
A Complete the sign table:
3
f'(x)
f"(x)
f (x)
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