Continuity of derivative function
1371
Prove that $f'(a)=\lim_{x\rightarrow a}f'(x)$.
10747
Given function $g$ continuous in line $[0,\infty)$...
43874
Differentiability implies continuity - A question about the proof
34940
Continuity of $f(x) = x^n$
100187
Show function is continuous at origin
12498
Derivable function on an interval $ [a,b]$ with derivative unbounded on $[a,b]$
113888
Behavior of derivative near the zero of a function.
73469
Continuity of the function $x\mapsto d(x,A)$ on a metric space
28413
Limit of a continuous function
125745
continuity of power series
60700
Continuity of a function to the integers
62352
Proving a scalar function is differentiable at the origin but that its partial derivatives are not continuous at that point.
57180
Techniques to prove a function is uniformly continuous
85623
Proof of continuity implied by differentiability
128911
Continuous extension of a real function
3772
About the continuity of the function $f(x) = \sum\limits_k2^{-k}\mathbf 1_{q_k \leq x}$
158407
derivative bounded by a constant multiple of the function