All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math > Calculus
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    
No Rating

Comments: ( You must be logged in to post comments.)
  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
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (12)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information