Is there an example of a differentiable function whose derivative is not continuous?
25482
If a function is continuous and differentiable everywhere is the derivative continuous?
151575
Differentiable bijection $f:\mathbb{R} \to \mathbb{R}$ with nonzero derivative whose inverse is not differentiable
41043
example of discontinuous function having direction derivative
147758
Differentiable but not continuously differentiable.
136714
Proving that $\lim_{x \to 0} \frac{f(x)}{|x|}=1$ implies $f$ is not differentiable at $0$.
87487
Applications of derivatives outside mathematics and physics
6417
Can a function be differentiable at the end points of its (closed interval) domain?
28898
Is there a function $f: \mathbb R \to \mathbb R$ that has only one point differentiable?
7036
Is there a bijective continuous function $f: \Bbb R \to \Bbb R$ whose inverse $f^{-1}$ is not continuous?
120784
Differentiablility over closed intervals
158940
Give an example of a continuous function $f : [0, ∞) \mapsto [0, ∞)$ such that $\int_{0}^{\infty}f(x)dx$ exists but $f$ is unbounded.
11017
Does existence of partial derivatives implies continuity at a point $(x_0,y_0)$?
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
22750
What are examples of functions that are $L^1$ but not $L^2$ and vice versa?
86860
Continuity of differentiable function $x^2\sin(1/x)$
35671
Why can a discontinuous function not be differentiable?
24449
How discontinuous can a derivative be?