query: Find a differentiable $f$ such that $f'$ is not continuous.
positive_passages.docid: 24449
positive_passages.text: How discontinuous can a derivative be?
negative_passages.docid: 145017
negative_passages.text: Example of a function $f$ which is nowhere continuous but $|f|$ should be continuous at all points
negative_passages.docid: 149095
negative_passages.text: $f(\mathbb{R}\setminus \mathbb{Q}) \subseteq \mathbb{Q}$ and $f(\mathbb{Q}) \subseteq \mathbb{R}\setminus \mathbb{Q}$ imply that $f$ is not continuous
negative_passages.docid: 111458
negative_passages.text: Prove that $f$ is differentiable
negative_passages.docid: 4679
negative_passages.text: Nonpiecewise Function Defined at a Point but Not Continuous There
negative_passages.docid: 147758
negative_passages.text: Differentiable but not continuously differentiable.
negative_passages.docid: 117338
negative_passages.text: Counterexample to second derivative test when f''(x) is not continuously differentiable
negative_passages.docid: 93528
negative_passages.text: Continuous versus differentiable
negative_passages.docid: 105084
negative_passages.text: Let f be a function twice differentiable and with derivatives continuous on an interval $[a,b]$ containing $0$. Prove the following statement:
negative_passages.docid: 18734
negative_passages.text: Showing that a function is differentiable
negative_passages.docid: 50111
negative_passages.text: non-continuous function satisfies $f(x+y)=f(x)+f(y)$
negative_passages.docid: 152877
negative_passages.text: Is a monotone differentiable function continuously differentiable?
negative_passages.docid: 38417
negative_passages.text: How to find the non-differentiable point(s) of a given continuous function?
negative_passages.docid: 62817
negative_passages.text: Functions which are Continuous, but not Bicontinuous
negative_passages.docid: 59279
negative_passages.text: Example of function that is differentiable, but the second derivative is not defined
negative_passages.docid: 157347
negative_passages.text: continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
negative_passages.docid: 8321
negative_passages.text: Why differentiability implies continuity, but continuity does not imply differentiability?