When is a continuous function differentiable?
8321
Why differentiability implies continuity, but continuity does not imply differentiability?
115635
Differentiability of antiderivative and continuity of derivative
55268
Differentiable and Continuous functions on [0,1] with 'weird' conditions.
145173
$f: \mathbb{R}^2-\{0\} \rightarrow \mathbb{R}$ is continuously differentiable and $f(\alpha x) = \alpha^2f(x)$, then $x \cdot \nabla f(x) = 2 f(x)$
82280
Problem about continuous functions and the intermediate value theorem
71260
Check differentiability of multivariable functions
120784
Differentiablility over closed intervals
150968
Differentiable function has measurable derivative?
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
28315
Monotone functions and non-vanishing of derivative
15727
show that if $f$ is uniformly differentiable then prove that $f'$ is continuous
93528
Continuous versus differentiable
126842
Fixed point in a continuous function
4636
How to show that $f$ is differentiable at $x=0.$
53809
Continuous map of differentiable manifolds is differentiable if differentiable functions pull back to differentiable functions
114691
Why can't differentiability be generalized as nicely as continuity?
127114
Differentiability implying continuity