(a) Prove that if f (x) > 0 for all x in (a, b), thenf(x) = 0 at most once in (a, b).(b)

Chapter 4, Problem 38

(choose chapter or problem)

(a) Prove that if \(f^{\prime \prime}(x)>0\) for all \(x\) in \((a,b)\), then \(f^{\prime}(x)=0\) at most once in \((a,b)\)

(b) Give a geometric interpretation of the result in (a).

Equation Transcription:

Text transcription:

f prime (x)>0

X

(a,b)

f prime (x)=0

(a,b)

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