设f(x)=(x-a)φ(x),其中φ(x)在点x=a处连续,则f✀(a)=()?

2025-06-24 20:02:02
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回答1:

用定义求
f '(a) = lim(x->a) [ f(x) - f(a) ] / ( x - a ) ,f(a) = 0
= lim(x->a) [(x-a) φ(x) ] / ( x - a)
= lim(x->a) φ(x)
= φ(a)