Is derivative always continuous?
87819
What is the difference between continuous derivative and derivative?
95429
If $f$ is continuous with $ \int_0^{\infty}f(t)\,dt<\infty$ then which are correct?
26955
Continuous at exactly two points and differentiable at exactly one of them
139720
Are all continuous one one functions differentiable?
48867
why all constant functions are continuous.$?$
87743
Is a function whose derivative vanishes at rationals constant?
30590
Are "most" continuous functions also differentiable?
127114
Differentiability implying continuity
25592
If a derivative of a continuous function has a limit, must it agree with that limit?
129551
Does $\lim_{h\rightarrow 0}\ [f(x+h)-f(x-h)]=0$ imply that $f$ is continuous?
8321
Why differentiability implies continuity, but continuity does not imply differentiability?
15690
Is a function defined at a single point continuous?
53841
Function always continuous in a Sobolev Space?
157347
continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
72847
Does $f(x)$ is continuous and $f = 0$ a.e. imply $f=0$ everywhere?
117338
Counterexample to second derivative test when f''(x) is not continuously differentiable
32571
Is the maximum function of a continuous function continuous?