Must the derivative be continuous if the function is differentiable?
25482
If a function is continuous and differentiable everywhere is the derivative continuous?
37850
Does the everywhere differentiability of $f$ imply it is absolutely continuous on a compact interval?
150833
Discontinuities of the derivative of a differentiable function on closed interval
4636
How to show that $f$ is differentiable at $x=0.$
150968
Differentiable function has measurable derivative?
128719
Are constants the only continuous functions with "symmetric derivative" zero?
11017
Does existence of partial derivatives implies continuity at a point $(x_0,y_0)$?
86327
If the absolute value of a function is continuous, is the function continuous?
93528
Continuous versus differentiable
113343
$f$ is constant if derivative equals zero
111458
Prove that $f$ is differentiable
97735
Continuous functions are differentiable on a measurable set?
32571
Is the maximum function of a continuous function continuous?
154881
Question on differentiability of a continuous function
115635
Differentiability of antiderivative and continuity of derivative
83983
Why don't we prove that functions used in physics are continuous and differentiable?
71738
Continuously differentiable function iff $|f(x + h) - f(x + t) - l(h - t)| \leq \epsilon |h-t|$