Determine if $f$ is differentiable at $(0,0)$, given that it is continuous at $(0, 0)$.
103241
A function that is continuous at the origin but not differentiable there
23617
Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$
15727
show that if $f$ is uniformly differentiable then prove that $f'$ is continuous
150554
proof that $f'$ is continuous at $a$
106013
Given $f(x) = x + |x|$ for what values of $x$ is $f$ differentiable
38417
How to find the non-differentiable point(s) of a given continuous function?
138544
For which values of $x$, will $f (x) . f '(x) < 0$?
113888
Behavior of derivative near the zero of a function.
151573
Show f is continuous on (0, ∞) iff f is continuous at 1 for a defined function.
130322
Show that $f(x) = 0$ if $x = 0$ $f(x) = \text{exp}(-1/x^{2})$ if $x \neq 0$ is infinitely differentiable but not analytic at $x_{0} = 0$ `
127114
Differentiability implying continuity
39057
Check the differentiablity of $\theta :\mathbb R^2 \setminus\{(0,0)\}\to \mathbb R$
74950
Show a function for which $f(x + y) = f(x) + f(y) $ is continuous at zero if and only if it is continuous on $\mathbb R$
124444
If $f$ s discontinuous at $x_0$ but $g$ is continuous there, then $f+g$?
135199
Looking for a function $f$ that is $n$-differentiable, but $f^{(n)}$ is not continuous
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
88640
Is $\sqrt x$ continuous at $0$? Because it is not defined to the left of $0$