Question: Consider the integral equation f(x) = 1+2 / f(t) dt. (1) where f(x) is an unknown function to be solved for. Equations of this type

Consider the integral equation f(x) = 1+2 / f(t) dt. (1) where f(x) is an unknown function to be solved for. Equations of this type have applications to demographics. (a) Explain why any continuous function f that solves (1) must be differentiable

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