Let f be a real-valued differentiable function on the closed interval [0,1], such that f'(0)=-1 and f'(1)=1. Which of the following statements is necessarily true ? Choose exactly one statement. Select one: a. The function f does not have an absolute maximum at the point 0. b. The function f does not have an absolute minimum at the point 0. c. The function f has an absolute maximum at the point 1. d. The function f has an absolute maximum at the point 0. e. The function f does not have an absolute maximum at the point 1.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Let f be a real-valued differentiable function on the closed interval [0,1], such that f'(0)=-1 and f'(1)=1.
Which of the following statements is necessarily true ? Choose exactly one statement.
Select one:
a. The function f does not have an absolute maximum at the point 0.
b. The functionf does not have an absolute minimum at the point 0.
c. The function f has an absolute maximum at the point 1.
d. The function f has an absolute maximum at the point 0.
e. The function f does not have an absolute maximum at the point 1.
Transcribed Image Text:Let f be a real-valued differentiable function on the closed interval [0,1], such that f'(0)=-1 and f'(1)=1. Which of the following statements is necessarily true ? Choose exactly one statement. Select one: a. The function f does not have an absolute maximum at the point 0. b. The functionf does not have an absolute minimum at the point 0. c. The function f has an absolute maximum at the point 1. d. The function f has an absolute maximum at the point 0. e. The function f does not have an absolute maximum at the point 1.
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