Looking for differentiable function $f:\mathbb R \to \mathbb R$ whose derivative is nowhere continuous
16291
Discontinuous derivative.
122160
$f:\mathbb R \to \mathbb R$ be a continuous such that $f(f(f(x)))=x,\forall x \in \mathbb R$ , is $f(x)=x , \forall x \in \mathbb R$?
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
127921
Does there exist a function such that $\lim_{x \to a} f(x) = L$ for all $a \in \mathbb R$ but $f(x)$ is never $L$?
97619
Which function ($f$) is continuous nowhere but $|f(x)|$ is continuous everywhere?
130019
Function that is continuous only on the transcendental numbers
138864
If $f\colon \mathbb{R} \to \mathbb{R}$ is such that $f(x+y)=f(x)f(y)$ and $f'(0)$ exists, then $f$ is differentiable on $\mathbb R$
33130
$f$ differentiable except in $1$ point
130748
Infinitely differentiable function with given zero set?
12498
Derivable function on an interval $ [a,b]$ with derivative unbounded on $[a,b]$
109732
Nowhere continuous function limit
69876
For every $n \in \mathbb{N}$, find a function $f$ which is differentiable $n$ times at $0$, but not $n+1$ times.
118192
Is there a bijective function $f: \mathbb{R}\to\mathbb{R}$ that is discontinuous?
22641
Nonlinear function continuous but not bounded
150833
Discontinuities of the derivative of a differentiable function on closed interval
145017
Example of a function $f$ which is nowhere continuous but $|f|$ should be continuous at all points
41201
How prove there is no continuous functions $f:[0,1]\to \mathbb R$, such that $f(x)+f(x^2)=x$.