若在[a,b]上连续,在(a,b)可导,则在(a,b)内( )。

作者: tihaiku 人气: - 评论: 0
问题 若在[a,b]上连续,在(a,b)可导,则在(a,b)内( )。
选项
答案 D
解析 由罗尔中值定理可得:若函数f(x)在[a,b]上连续,在(a,b)上可导,且f(a)=(b),则存在ξ∈(a, b),使f’(ξ)=0,而当f(a)时,则不一定。故选D。

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