Find a function $f$ over $\mathbb{R}$ that is $n$ times differentiable but $f^{(n)}$ is not continuous
135199
Looking for a function $f$ that is $n$-differentiable, but $f^{(n)}$ is not continuous
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
72115
Why isn't there a continuously differentiable surjection from $I \to I \times I$?
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
64619
Continuity of a function of product spaces
148328
Example of a function $f$ on $X$ to $\mathbb{R}$ which is not $X$-measurable but $|f|$, and $f^2$ are measurable.
154881
Question on differentiability of a continuous function
34940
Continuity of $f(x) = x^n$
26169
Function $f: \mathbb{R} \to \mathbb{R}$ that takes each value in $\mathbb{R}$ three times
43189
Examples of continuous functions $f : \mathbb{R} \to \mathbb{R}$
127538
Show $f(x)=x\ln x$ is not uniformly continuous
139763
A function takes every function value twice - proof it is not continuous
33330
Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
68171
Non-trigonometric Continuous Periodic Functions
62581
What is an example that a function is differentiable but derivative is not Riemann integrable
30590
Are "most" continuous functions also differentiable?
114691
Why can't differentiability be generalized as nicely as continuity?