Find a counterexample that $f(x)$ is Gateaux differentiable and $\lambda(x)$ is not continous
88463
What is an example of Gâteaux differentiable but not Fréchet differentiable at a point in a finite-dimensional space?
13150
If the derivative of $f$ is never zero, then $f$ is one-to-one
152877
Is a monotone differentiable function continuously differentiable?
62352
Proving a scalar function is differentiable at the origin but that its partial derivatives are not continuous at that point.
39583
ii) Show that $u$ is not a real part of the function which analytic on $\mathbb{C} \backslash \lbrace 0 \rbrace$
33130
$f$ differentiable except in $1$ point
3518
Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
113450
Construction of a function which is not the pointwise limit of a sequence of continuous functions
135694
Proving $\kappa^{\lambda} = |\{X: X \subseteq \kappa, |X|=\lambda\}|$
148737
Is $|xy|$ differentiable in $(0,0)$?
123132
Counterexample for a non-measurable function?
156839
Functions Which are non differentiable on a Given Set.
98634
What is a counterexample for If $x\in\overline{A},$ $x$ is not necessarily a limit of a sequence in $A$?
27775
Proving a function is not a contraction
61486
Show that $f$ is not differentiable at $(0,0)$ - $\frac{x_1^2x_2}{x_1^2+x_2^2}$
127114
Differentiability implying continuity
120784
Differentiablility over closed intervals