Can the derivative of a function be such that it is not continuous?
16291
Discontinuous derivative.
109666
Example where partial derivatives commute but are not continuous.
29180
If $f(x/n)\to0$ when $n\to\infty$, for every $x$ and $f$ is continuous, then $f(x)\to0$ when $x\to0$, or not?
24306
Is there a continuous function $f(x)$ such that the inverse function is $1/f(x)$?
13150
If the derivative of $f$ is never zero, then $f$ is one-to-one
127538
Show $f(x)=x\ln x$ is not uniformly continuous
62352
Proving a scalar function is differentiable at the origin but that its partial derivatives are not continuous at that point.
50725
Inverse of function is continuous or not?
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
87819
What is the difference between continuous derivative and derivative?
35264
Must a monotone function have a monotone derivative?
25482
If a function is continuous and differentiable everywhere is the derivative continuous?
22641
Nonlinear function continuous but not bounded
6417
Can a function be differentiable at the end points of its (closed interval) domain?
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
120784
Differentiablility over closed intervals
118628
Is the function $f(x)=|x|^{1/2}$ Lipschitz continuous?