6. The graph of the second derivative of a function f(x) is shown at right. Which of the following is/are true? I. The graph of f(x) has a point of inflection at x = -1. II. The graph of f(x) is concave down on the interval (-1,3). III. The graph f'(x) is decreasing at x = 2. A. I only C. I and II only B. II only P(+) D. I, II, and III
6. The graph of the second derivative of a function f(x) is shown at right. Which of the following is/are true? I. The graph of f(x) has a point of inflection at x = -1. II. The graph of f(x) is concave down on the interval (-1,3). III. The graph f'(x) is decreasing at x = 2. A. I only C. I and II only B. II only P(+) D. I, II, and III
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:6. The graph of the second derivative of a function f(x) is
shown at right. Which of the following is/are true?
I. The graph of f(x) has a point of
inflection at x = -1.
II. The graph of f(x) is concave down
on the interval (-1,3).
III. The graph f'(x) is decreasing at x = 2.
A. I only
C. I and II only
B. II only
P()
D. I, II, and III
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