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Let \(f(x)\) be a derivable function, \(f^{\prime}(x)>f(x)\) and \(f(0)=0\). Then
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Dec 11, 2021
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Dec 27, 2021
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Let \(f(x)\) be a derivable function, \(f^{\prime}(x)>f(x)\) and \(f(0)=0\). Then
(A) \(f(x)>0\) for all \(x>0\)
(B) \(f(x)<0\) for all \(x>0\)
(C) no sign of \(f(x)\) can be ascertained
(D) \(f(x)\) is a constant function
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