已知m∈R,设函数f(x)=x3-3(m+1)x2+12mx+1.若f(x)在(0,3)上无极值点,求m的值;由题意知f′(x)=3x2-6(m+1)x+12m=3(x-2)(x-2m).由于f(x)在[0,3]上无极值点,故2m=2,所以m=1. 为什么“f(

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