Home > Just Math > Calculus
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.
Comments: (
You must be logged in to post comments.)


Please log in:
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
Chatterbox:
