query: Prove derivative is continuous - is this $\delta/\epsilon$ proof correct?
positive_passages.docid: 1371
positive_passages.text: Prove that $f'(a)=\lim_{x\rightarrow a}f'(x)$.
negative_passages.docid: 157347
negative_passages.text: continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
negative_passages.docid: 145368
negative_passages.text: How to show $f:Y\to X^{+}$ is continuous?
negative_passages.docid: 14578
negative_passages.text: Proving that an additive function $f$ is continuous if it is continuous at a single point
negative_passages.docid: 4062
negative_passages.text: prove that $f(x)=\log(1+x^2)$ is Uniform continuous with $\epsilon ,\delta$ ...
negative_passages.docid: 53627
negative_passages.text: Proving continuity of $f$
negative_passages.docid: 136011
negative_passages.text: Must $f$ be continuous?
negative_passages.docid: 115077
negative_passages.text: Prove continuity for cubic root using epsilon-delta
negative_passages.docid: 4735
negative_passages.text: Proof for alternative definition of the derivative
negative_passages.docid: 49408
negative_passages.text: Proof of the derivative of ln(x)
negative_passages.docid: 87239
negative_passages.text: Prove functions defined by sup and inf are continuous
negative_passages.docid: 72044
negative_passages.text: prove $x \mapsto x^2$ is continuous
negative_passages.docid: 110112
negative_passages.text: Proving a function is Lipschitz continuous
negative_passages.docid: 87819
negative_passages.text: What is the difference between continuous derivative and derivative?
negative_passages.docid: 60321
negative_passages.text: Use the definition of derivative to prove $\lim_{x\to 0}\ln(x+1)/x =1$
negative_passages.docid: 125682
negative_passages.text: Proof verification: the product of two continuous functions is continuous
negative_passages.docid: 62048
negative_passages.text: Proving a Lipschitz function is continuous