Differentiable functions such that the derivative is nowhere continuous.
16291
Discontinuous derivative.
2129
Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$
87131
Discontinuous at rationals and differentiable at irrationals?
135199
Looking for a function $f$ that is $n$-differentiable, but $f^{(n)}$ is not continuous
128719
Are constants the only continuous functions with "symmetric derivative" zero?
105084
Let f be a function twice differentiable and with derivatives continuous on an interval $[a,b]$ containing $0$. Prove the following statement:
19828
Show that $\frac{x^3}{x^2+y^2}$ is not differentiable at $(0,0)$, even though all directional derivatives exist
11167
A counterexample of a differentiable function on an interval whose derivative is discontinuous
41847
Uniformly continuous function with unbounded variation
154881
Question on differentiability of a continuous function
57014
Existence of a power series converging non-uniformly to a continuous function
62352
Proving a scalar function is differentiable at the origin but that its partial derivatives are not continuous at that point.
13150
If the derivative of $f$ is never zero, then $f$ is one-to-one
49587
Does a differentiable everywhere function have a continuous derivative?
151575
Differentiable bijection $f:\mathbb{R} \to \mathbb{R}$ with nonzero derivative whose inverse is not differentiable
114691
Why can't differentiability be generalized as nicely as continuity?
33130
$f$ differentiable except in $1$ point