How to find a function where $f$ is differentiable and $f'$ is unbounded
12498
Derivable function on an interval $ [a,b]$ with derivative unbounded on $[a,b]$
35264
Must a monotone function have a monotone derivative?
112923
Let $f:\mathbb{R}\longrightarrow \mathbb{R}$ a differentiable function such that $f'(x)=0$ for all $x\in\mathbb{Q}$
107727
$m\{x\in [0,1]:f'(x)=0\}>0$
115878
Continuous unbounded but integrable functions
62581
What is an example that a function is differentiable but derivative is not Riemann integrable
115635
Differentiability of antiderivative and continuity of derivative
105068
Proving that the function is differentiable and $f'(0)=0$
71738
Continuously differentiable function iff $|f(x + h) - f(x + t) - l(h - t)| \leq \epsilon |h-t|$
102549
Check the differentiability of the given function.
2506
twice differentiable functions
6632
Sequence of differentiable functions
158407
derivative bounded by a constant multiple of the function
111470
Proof of differentiability of $f(x)$
16034
Function whose inverse is also its derivative?
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 $\mathbb R$
6417
Can a function be differentiable at the end points of its (closed interval) domain?