Can we say anything about the set of all points of discontinuities of $f^{(1)}$,the derivative of a differentiable function on $\mathbb R$.
24449
How discontinuous can a derivative be?
41043
example of discontinuous function having direction derivative
44761
Is $f'(x)-3f(x) = 0$ subspace of differentiable functions $f\colon (0,1)\to \mathbb{R}$
115635
Differentiability of antiderivative and continuity of derivative
120784
Differentiablility over closed intervals
156839
Functions Which are non differentiable on a Given Set.
28898
Is there a function $f: \mathbb R \to \mathbb R$ that has only one point differentiable?
38886
Discontinuous function on Q
11167
A counterexample of a differentiable function on an interval whose derivative is discontinuous
69378
The derivative of $x!$ and its continuity
41557
Most general $A \subseteq \mathbb R$ to define derivative of $f: A \to \mathbb R$?
127114
Differentiability implying continuity
137883
Cardinality of the set of all (real) discontinuous functions
87131
Discontinuous at rationals and differentiable at irrationals?
75932
Differentiability of $g:=f(\sqrt{x^2+y^2})$ for a $C^1$ function with $f'(0)=0$ NBHM $2008$
150626
General formula or a pattern for the $n$th derivatives of $e^{f(x)}$?
17223
Continuity of an inverse function.