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differentiability in functions (Posted on 20210219) 

a) Prove that there exists a differentiable function f:(0, ∞)>(0, ∞) such that f(f'(x))=x, for all x>0.
b) Prove that there is no differentiable function f:R>R such that f(f'(x))=x, for all x∈R.
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