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Let ?(?) and ?(?) be differentiable …

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Let ?(?) and ?(?) be differentiable for 0 ≤ ? ≤ 1, such that ?(0) = 2, ?(0) = 0, ?(1) = 6. Let there exist a real number ? in [0, 1] such that ? ′(?) = 2? ′(?), then the value of ?(1) must be
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