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) .

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...

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