Let g(x) be a function such that g(x) > 0 for all x, and g'(x) = 2g(x) for all x. A function f(x) has derivative f'(x) = (x - 2) g(x) for all x. Which one of the following statements is FALSE? Of(x) is concave up on (-∞, 2). O ƒ"(x) = (2x − 3)g(x). f(x) has an inflection point at x = 3/ The absolute minimum of f(x) on (-∞, ∞) occurs at x = = 2. O f(x) is decreasing on (—∞, 2) .
Let g(x) be a function such that g(x) > 0 for all x, and g'(x) = 2g(x) for all x. A function f(x) has derivative f'(x) = (x - 2) g(x) for all x. Which one of the following statements is FALSE? Of(x) is concave up on (-∞, 2). O ƒ"(x) = (2x − 3)g(x). f(x) has an inflection point at x = 3/ The absolute minimum of f(x) on (-∞, ∞) occurs at x = = 2. O f(x) is decreasing on (—∞, 2) .
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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