A continuously differentiable function on a compact set is Lipschitz continuous
132413
$f \in C^1$ defined on a compact set $K$ is Lipschitz?
147247
Continuous function on closed unit ball
128911
Continuous extension of a real function
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
71140
Pointwise limit of the sequence of continuously differentiable functions defined inductively.
88586
show that every continuous real-valued function defined on $S_{\mathbb{\Omega}}$ is eventually constant
61481
Continuously Differentiable Curves in $\mathbb{R}^{d}$ and their Lebesgue Measure
55749
Compactly supported continuous function is uniformly continuous
93528
Continuous versus differentiable
144013
If $f$ is differentiable at $x = x_0$ then $f$ is continuous at $x = x_0$.
65346
Characterisation of uniformly continuous function
100740
proof of that a continuous function has a fixed point
129716
Let $f$ be continuous on $ [a,b]$, differentiable on $ (a,b) $ and $ f(x) \neq 0 \forall x \in (a,b) $ Prove $ \exists c \in (a,b) $ such that
80559
In $C[0,1]$ prove that the subset of Lipschitz functions is dense
150554
proof that $f'$ is continuous at $a$
19566
Continuous images of compact sets are compact
53809
Continuous map of differentiable manifolds is differentiable if differentiable functions pull back to differentiable functions