Match the first and second derivative information about a function f at a = 3 with the description the graph of ƒ at (3, f(3)) relative to the existence of a local maximum or minimum with one of the following phrases: "Local maximum," "Local minimum," "Neither," or "Unable to determine from the given information." f'(3) = 0 and f"(3) > 0 [Choose ] f(3) 0 and f"(3) <0 [Choose ] f(3) 1 and f"(3) > 0 [Choose ] f(3) 0 and f"(3)=0 [Choose ]

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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Match the first and second derivative information about a function f at x = 3 with the
description the graph of ƒ at (3, f(3)) relative to the existence of a local maximum or
minimum with one of the following phrases: "Local maximum," "Local minimum," "Neither," or
"Unable to determine from the given information."
f'(3) = 0 and f"(3) > 0
[Choose ]
f'(3) = 0 and f"(3) <0
[Choose ]
f'(3) = 1 and f"(3) > 0
[Choose ]
f'(3) = 0 and f"(3) = 0
[Choose ]
>
>
Transcribed Image Text:Match the first and second derivative information about a function f at x = 3 with the description the graph of ƒ at (3, f(3)) relative to the existence of a local maximum or minimum with one of the following phrases: "Local maximum," "Local minimum," "Neither," or "Unable to determine from the given information." f'(3) = 0 and f"(3) > 0 [Choose ] f'(3) = 0 and f"(3) <0 [Choose ] f'(3) = 1 and f"(3) > 0 [Choose ] f'(3) = 0 and f"(3) = 0 [Choose ] > >
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