The continuity of the derivative of a differentiable function
24449
How discontinuous can a derivative be?
126461
Show that $g:I\to\mathbb{R}$ is continuous and $f:(x-x_0)g(x)$ is differentiable
71487
Real Analysis: Continuity of a Composition Function
152877
Is a monotone differentiable function continuously differentiable?
8321
Why differentiability implies continuity, but continuity does not imply differentiability?
71738
Continuously differentiable function iff $|f(x + h) - f(x + t) - l(h - t)| \leq \epsilon |h-t|$
143174
property of continuous function
145173
$f: \mathbb{R}^2-\{0\} \rightarrow \mathbb{R}$ is continuously differentiable and $f(\alpha x) = \alpha^2f(x)$, then $x \cdot \nabla f(x) = 2 f(x)$
11017
Does existence of partial derivatives implies continuity at a point $(x_0,y_0)$?
103241
A function that is continuous at the origin but not differentiable there
60521
Continuity of a convex function
34940
Continuity of $f(x) = x^n$
125910
Continuity of Integration for a measurable function
16375
Is the function differentiable at $0$?
154881
Question on differentiability of a continuous function
117338
Counterexample to second derivative test when f''(x) is not continuously differentiable
46642
Continuity of $\sin(x)/x$