Let g(x) be a function with the following properties: g(2) = 7, g′(2) = 4, g″(2) = 5. If ƒ(x) = x² − g(x), then which of the following is always TRUE? ƒ(2) is a local maximum ƒ(2) is an absolute minimum ○ ƒ(2) is an absolute maximum ○ ƒ(2) is a local minimum ○ ƒ(2) is not a local extremum

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let g(x) be a function with the following properties:
g(2) = 7, g′(2) = 4, g″(2) = 5.
If ƒ(x) = x² – g(x), then which of the following is always TRUE?
ƒ(2) is a local maximum
ƒ(2) is an absolute minimum
ƒ(2) is an absolute maximum
f(2) is a local minimum
f(2) is not a local extremum
Transcribed Image Text:Let g(x) be a function with the following properties: g(2) = 7, g′(2) = 4, g″(2) = 5. If ƒ(x) = x² – g(x), then which of the following is always TRUE? ƒ(2) is a local maximum ƒ(2) is an absolute minimum ƒ(2) is an absolute maximum f(2) is a local minimum f(2) is not a local extremum
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