Equivalent conditions for continuous differentiability
124861
The extension of smooth function
99179
Continuous function with compact domain has continuous inverse
8321
Why differentiability implies continuity, but continuity does not imply differentiability?
58664
Proving a function is continuous for a fixed variable
53809
Continuous map of differentiable manifolds is differentiable if differentiable functions pull back to differentiable functions
85157
Does a smooth "transition function" with bounded derivatives exist?
24900
Homogeneity and Differentiability at $0$ implies linearity?
76351
Equivalence of continuity definitions
68048
Prove that if $f$ is differentiable on $[a,b]$ and $f'$ is monotonic on $[a,b]$ , $f'$ is continuous on $[a,b]$
142490
Alternative proof for differentiability of inverse function?
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
12408
Prove that a function whose derivative is bounded is uniformly continuous.
55268
Differentiable and Continuous functions on [0,1] with 'weird' conditions.
97382
Continuous differentiability implies Lipschitz continuity
140445
Sequence of continuous functions whose pointwise limit is discontinuous
30590
Are "most" continuous functions also differentiable?
129324
Let $f:[0;1]\to\mathbb R$ be continiously differentiable