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[" Given "f'(1)=1" and "f(2x)=f(x)AA x>0...

[" Given "f'(1)=1" and "f(2x)=f(x)AA x>0" .If "f'(x)" is "],[" differentiable,then there exists a number "c in(2,4)" such "],[" that "f''(c)" equals "],[[" (1) "(1)/(4)," (2) "(-1)/(2)," (3) "-1(1)/(4)," (4) "-(1)/(8)]]

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