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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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6.4.6 Theorem Let I be an open interval and let f : I R have a second derivative on I. Then f is a convex function on I if and only if f"(x) 2 0 for all x E I. + D'I 120 fous) 2 (x) Zix * O if > ix)= Lon
Transcribed Image Text:6.4.6 Theorem Let I be an open interval and let f : I R have a second derivative on I. Then f is a convex function on I if and only if f"(x) 2 0 for all x E I. + D'I 120 fous) 2 (x) Zix * O if > ix)= Lon
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