Gâteaux differentiable at $0$, but not Fréchet differentiable
2357
Showing $\frac{x^3y}{x^4+y^2}$ is continuous at all points
144023
Indefinite integral which is not differentiable
127114
Differentiability implying continuity
11167
A counterexample of a differentiable function on an interval whose derivative is discontinuous
18734
Showing that a function is differentiable
43956
Differentiating $f(x)^{g(x)}$
65953
Cardinality of the set of differentiable functions
91123
A convex function is differentiable at all but countably many points
128026
Weak derivatives equals zero
123602
Non integer derivative of $1/p(x)$
115635
Differentiability of antiderivative and continuity of derivative
27888
Why is $|x|$ not differentiable at $x=0$?
120784
Differentiablility over closed intervals
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?
144426
Example of a function $f:\mathbb{R}^2\to\mathbb{R}$ not differentiable at $(0,0)$, but has a directional derivative at $(0,0)$ in all directions
60897
Non-integer order derivative
16375
Is the function differentiable at $0$?