query: If f is differentiable then f is uniformly continuous?
positive_passages.docid: 12408
positive_passages.text: Prove that a function whose derivative is bounded is uniformly continuous.
negative_passages.docid: 136412
negative_passages.text: Differentiable at $x=a$ implies continuous at $x=a$
negative_passages.docid: 95327
negative_passages.text: Lipschitz and uniform continuity
negative_passages.docid: 150554
negative_passages.text: proof that $f'$ is continuous at $a$
negative_passages.docid: 71738
negative_passages.text: Continuously differentiable function iff $|f(x + h) - f(x + t) - l(h - t)| \leq \epsilon |h-t|$
negative_passages.docid: 144013
negative_passages.text: If $f$ is differentiable at $x = x_0$ then $f$ is continuous at $x = x_0$.
negative_passages.docid: 138397
negative_passages.text: If a sequence of functions $f_n$ converges uniformly to $f$, does this imply $f_n$ is continuous? How to prove?
negative_passages.docid: 85623
negative_passages.text: Proof of continuity implied by differentiability
negative_passages.docid: 76908
negative_passages.text: If $f'$ is differentiable at $a$ then $f'$ is continuous at $(a-\delta,a+\delta)$
negative_passages.docid: 49587
negative_passages.text: Does a differentiable everywhere function have a continuous derivative?
negative_passages.docid: 114691
negative_passages.text: Why can't differentiability be generalized as nicely as continuity?
negative_passages.docid: 93528
negative_passages.text: Continuous versus differentiable
negative_passages.docid: 55125
negative_passages.text: Continuous right derivative implies differentiability
negative_passages.docid: 106060
negative_passages.text: If $f$ is continuous and with a limit at infinity then $f$ is uniformly continuous
negative_passages.docid: 15284
negative_passages.text: $f$ defined on $[1,\infty )$ is uniformly continuous. Then $\exists M>0$ s.t. $\frac{|f(x)|}{x}\le M$ for $x\ge 1$.
negative_passages.docid: 154881
negative_passages.text: Question on differentiability of a continuous function
negative_passages.docid: 127114
negative_passages.text: Differentiability implying continuity