单选题 难度 3

若在 [0,1][0,1] 上 f′′(x)>0f''(x)>0,则 f′(0)f'(0)、f′(1)f'(1)、f(1)−f(0)f(1)-f(0) 的大小顺序为( )

  1. 选项 A f′(1)>f′(0)>f(1)−f(0)f'(1)>f'(0)>f(1)-f(0)
  2. 选项 B f′(1)>f(1)−f(0)>f′(0)f'(1)>f(1)-f(0)>f'(0)
  3. 选项 C f(1)−f(0)>f′(1)>f′(0)f(1)-f(0)>f'(1)>f'(0)
  4. 选项 D f′(1)>f(0)−f(1)>f′(0)f'(1)>f(0)-f(1)>f'(0)

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