作者TaiwanBank (澳仔金控台灣分行)
看板Math
標題[分析] 初微(55)
時間Tue Aug 16 15:38:24 2005
Assume that f is continuous on [a,b] and f has a finite second
derivative f" in the open interval (a,b). Assume that the line
segment joining A = (a,f(a)) and B = (b,f(b)) intersects the
graph of f in a third point P different from A and B. Prove that
f"(c) = 0 for some c in (a,b).
Question: What is the geometric meaning?
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