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differentiability in functions (Posted on 2021-02-19) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
re: Thought for Part b.Jer2021-02-20 11:19:35
Thought for Part b.Jer2021-02-19 12:59:44
Part a -- spoilerSteve Herman2021-02-19 09:11:42
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