设f(x)在[0,1]上可导,且f(0)＝1,f(1)＝0.证明：至少存在一点η∈（0,1）,使设f(x)在[0,1]上可导,且f(0)＝1,f(1)＝0.证明：至少存在一点η∈（0,1）,使得ηf'(η)＋3f(η)＝0

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