• Domain of f is R – 0 • f(x) = 0 if x = 1. • lim,→±∞ f(x) = 0 and lim,→0+ f(x) = lim,→0- f(x) = -o∞ %3D • 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. %3D %3D • f"(x) < 0 on (-∞,0) U (0, 3) and f"(x) > 0 on (3, ∞0)
• Domain of f is R – 0 • f(x) = 0 if x = 1. • lim,→±∞ f(x) = 0 and lim,→0+ f(x) = lim,→0- f(x) = -o∞ %3D • 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. %3D %3D • f"(x) < 0 on (-∞,0) U (0, 3) and f"(x) > 0 on (3, ∞0)
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
Graph the function. (Plot the local extrama, inflection point(s), asymptotes, x and y intercepts,
if exist)
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 = 2 and f'(x) does not exist at x = 0 and f(2) = 9/2.
• f'(x) < 0 on (-0,0) 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 (-x,0) U (0, 3) and f"(x) > 0 on (3, 00)
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