Continuous and Differentiable function with discontinuous derivatives
135610
How to give an example of a $f$ differentiable in a deleted neighborhood of $x_0$ such that $\lim_{x\to x_0}f^\prime(x)$ doesn't exist?
77624
Characterization of sets of differentiability
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
146929
smooth functions or continuous
69378
The derivative of $x!$ and its continuity
112189
Discontinuity in function; order of integration matters
43956
Differentiating $f(x)^{g(x)}$
154881
Question on differentiability of a continuous function
2506
twice differentiable functions
108593
First order weak derivatives of $f(x)=|x|^r$
127114
Differentiability implying continuity
150005
Existence of points in a differentiable function
38192
Derivative of inverse function at a point.
20688
Discontinuous functions with closed graphs
120784
Differentiablility over closed intervals
16375
Is the function differentiable at $0$?
55125
Continuous right derivative implies differentiability