3 Graph of f' 82. The graph of f', the derivative of f, is shown above. The line tangent to the graph of f' at x = 0 is vertical, and f' is not differentiable at x = 2. Which of the following statements is true? (A) ' does not exist at x = 2. (B) f is decreasing on the interval (2, 4). (C) The graph of f has a point of inflection at .x = 2. (D) The graph of f has a point of inflection at x = 0. (E) f has a local maximum at x = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Graph of f'
82. The graph of f', the derivative of f, is shown above. The line tangent to the graph of f' at x = 0 is vertical,
and f' is not differentiable at x = 2. Which of the following statements is true?
(A) ' does not exist at x = 2.
(B) f is decreasing on the interval (2, 4).
(C) The graph of f has a point of inflection at .x = 2.
(D) The graph of f has a point of inflection at x = 0.
(E) f has a local maximum at x = 0.
Transcribed Image Text:3 Graph of f' 82. The graph of f', the derivative of f, is shown above. The line tangent to the graph of f' at x = 0 is vertical, and f' is not differentiable at x = 2. Which of the following statements is true? (A) ' does not exist at x = 2. (B) f is decreasing on the interval (2, 4). (C) The graph of f has a point of inflection at .x = 2. (D) The graph of f has a point of inflection at x = 0. (E) f has a local maximum at x = 0.
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