Given a function f which is smooth
82405
For f continuous on $[0,1]$, show that there exist points $\alpha_k$ such that $\sum \limits_{k=1}^n \frac{1}{f'(\alpha_k)} = n $
77624
Characterization of sets of differentiability
10747
Given function $g$ continuous in line $[0,\infty)$...
111470
Proof of differentiability of $f(x)$
6632
Sequence of differentiable functions
71378
A smooth function $f:S^1\times S^1\to \mathbb R$ must have more than two critical points.
112211
Show an increasing function f from omega_1 to R is eventually constant
155871
Is it possible for a function to be smooth everywhere, analytic nowhere, yet Taylor series at any point converges in a nonzero radius?
94944
Differentiable functions satisfying $f'(f(x))=f(f'(x))$
65346
Characterisation of uniformly continuous function
115636
Show that $f$ is either injective or a constant function.
7861
Non-analytic smooth function
15820
Discontinuous linear functional
38417
How to find the non-differentiable point(s) of a given continuous function?
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
14830
A transformation of F[x]
118096
If $f^2$ and $f^3$ are smooth, does it follow that $f$ is smooth?