题目详情

下列命题正确的是()

  • A.函数f(x)的导数不存在的点,一定不是f(x)的极值点
  • B.若x0为函数f(x)的驻点,则x0必为f(x)的极值点
  • C.若函数f(x)在点x0处有极值,且f'(x0)存在,则必有f'(x0)=0
  • D.若函数f(x)在点x0处连续,则f'(x0)一定存在

正确答案及解析

正确答案
C
解析

根据函数在点x0处取极值的必要条件的定理,可知选项C是正确的.

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