Question: 1.(a) (15 marks) Letf(x) be a function defined on an open interval containing [a, b] andf(x) havesecond derivative at everyx[a, b]. Iff(a) =f(b) = 0,

1.(a) (15 marks) Letf(x) be a function defined on an open interval containing [a, b] andf(x) havesecond derivative at everyx[a, b]. Iff(a) =f(b) = 0, then prove that there existsc(a, b)such that4|f"(c)| |f(b)f(a)|(ba)2

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