Is differentiability over an interval a sufficient condition for continuity of the derivative?
49587
Does a differentiable everywhere function have a continuous derivative?
28315
Monotone functions and non-vanishing of derivative
113888
Behavior of derivative near the zero of a function.
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
154572
Continuity of a function at an isolated point
59859
Locally Lipschitz implies continuity. Does the converse implication hold?
9614
How does the existence of a limit imply that a function is uniformly continuous
147758
Differentiable but not continuously differentiable.
136011
Must $f$ be continuous?
126212
Proving uniform continuity on an interval
17223
Continuity of an inverse function.
8321
Why differentiability implies continuity, but continuity does not imply differentiability?
131444
Local maximum implies derivative is $0$
40429
Differentiability of this picewise function
15579
Show that $f$ is uniformly continuous if limit exists
111458
Prove that $f$ is differentiable
77624
Characterization of sets of differentiability