differentiability in functions (Posted on 2021-02-19)
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.
re: Thought for Part b.
