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Let F be a primitive of f on interval (a, b). It's true that: a) is an int inflectionary point of F = f(x=0 b) 2 is a local minimum point of F = f(x)=0 c) f(x) is a constant function ⇒ F(x) is constant d) F(x) <0, for all x € (a,b) ⇒ f is decreasing in (a, b)

Let F be a primitive of f on interval (a, b). It's true that: a) is an int inflectionary point of F = f(x=0 b) 2 is a local minimum point of F = f(x)=0 c) f(x) is a constant function ⇒ F(x) is constant d) F(x) <0, for all x € (a,b) ⇒ f is decreasing in (a, b)

Advanced Engineering Mathematics
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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Is it A? If not could you please explain why not
Let F be a primitive off on interval (a,b). It's true that: a) x is an inflectionary point of F = f(x) = b) 220 is a local minimum point of F = f(xd=0 c) f(2) is a constant function → F(x) is constant DF(x) ≤0, for all x &(a,b) ⇒ f is decreasing in (a,b)
Transcribed Image Text:Let F be a primitive off on interval (a,b). It's true that: a) x is an inflectionary point of F = f(x) = b) 220 is a local minimum point of F = f(xd=0 c) f(2) is a constant function → F(x) is constant DF(x) ≤0, for all x &(a,b) ⇒ f is decreasing in (a,b)
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