eax –1 Let F(x) = Sar f(t)dt be a differentiable function for a > 0. If F(x) has a local maximum at x = 0 then which of the following statements is correct? A) f(x) has a local minimum at x = 0. B) f(x) has a local maximum at x = 0. C) x = 0 is the critical point of f(x). D) f'(0) > 0. E) f'(0) < 0 .

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