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Problem: 1.(10 points) Let f(.') be continuous on [1, 00) and differentiable on (1, 00). If 11111;.,_,c,o at) = f(1), Show that there is an

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Problem: 1.(10 points) Let f(.') be continuous on [1, 00) and differentiable on (1, 00). If 11111;.,_,c,o at) = f(1), Show that there is an a E (1, 00) such that f'(a) = 0

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