Finding an example of a function $f(x)$ that is differentiable on $(a,b)$ but $f'(x)$ is not continuous on $(a,b)$.
16291
Discontinuous derivative.
3518
Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
121848
If $f(x)=\begin {cases} x^a\sin (1/x) & x\not =0 \\ 0 & x =0 \end {cases}$ is continuous but not differentiable at $x=0$ find $a$
110258
Continuous but not uniformly continuous example
120784
Differentiablility over closed intervals
106843
Give an example where $\int_{\bar A} f$ exists but $\int_A f$ does not for a continuos $f$ on a bounded open subset $A$ of $\mathbb{R}^n $
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
124997
finding examples for a non negative and continuous function for which the infinite integral is finite but the limit at infinity doesn't exist
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
72115
Why isn't there a continuously differentiable surjection from $I \to I \times I$?
62581
What is an example that a function is differentiable but derivative is not Riemann integrable
117338
Counterexample to second derivative test when f''(x) is not continuously differentiable
15727
show that if $f$ is uniformly differentiable then prove that $f'$ is continuous
100436
Examples of nowhere continuous functions
18734
Showing that a function is differentiable
11167
A counterexample of a differentiable function on an interval whose derivative is discontinuous
150005
Existence of points in a differentiable function