Why is continuity permissible at endpoints but not differentiability?
120784
Differentiablility over closed intervals
66560
Is a differentiable function always continuous?
123981
Is it possible to write any bounded continuous function as a uniform limit of smooth functions
74433
Why does the Mean Value Theorem require a closed interval for continuity and an open interval for differentiability?
24449
How discontinuous can a derivative be?
17452
Is differentiating on both sides of an equation allowed?
127964
Confused about the possibility of different differentiable structures.
90780
Why does implicit differentiation work on non-functions?
49587
Does a differentiable everywhere function have a continuous derivative?
39842
Limit point Compactness does not imply compactness counter-example
71487
Real Analysis: Continuity of a Composition Function
27059
Why left continuity does not hold in general for cumulative distribution functions?
44544
What is the geometrical difference between continuity and uniform continuity?
12107
How is the epsilon-delta definition of continuity equivalent to the following statement?
76351
Equivalence of continuity definitions
117419
Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
150833
Discontinuities of the derivative of a differentiable function on closed interval