Q2 1 Point Assume that f : [0, 1] → R is differentiable, that ƒ'(0) = 1 and ƒ'(1) = 2. Which, if any, of the following statements necessarily follow? Choose all that apply. f attains a minimum at 0 f does not attain a minimum at 1 f: [0, 1] → R is continuous ƒ' : [0, 1] → R is continuous None of these necessarily follow.

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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Q2
1 Point
Assume that f : [0, 1] → R is differentiable, that ƒ'(0) = 1 and
ƒ'(1) = 2. Which, if any, of the following statements necessarily
follow? Choose all that apply.
f attains a minimum at 0
f does not attain a minimum at 1
f: [0, 1] → R is continuous
ƒ' : [0, 1] → R is continuous
None of these necessarily follow.
Transcribed Image Text:Q2 1 Point Assume that f : [0, 1] → R is differentiable, that ƒ'(0) = 1 and ƒ'(1) = 2. Which, if any, of the following statements necessarily follow? Choose all that apply. f attains a minimum at 0 f does not attain a minimum at 1 f: [0, 1] → R is continuous ƒ' : [0, 1] → R is continuous None of these necessarily follow.
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