Question: Let f : R - R be a differentiable function. Suppose that f'(x) > f(r) for all r E R, and f(xo) = 0 for

Let f : R - R be a differentiable function. Suppose that f'(x) > f(r) for all r E R, and f(xo) = 0 for some ro ( R. Prove that f(x) > 0 for all r > ro. As an application of this, show that 2 has exactly one root

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