query: Is it possible for a continuous function to have a nowhere-continuous derivative?
positive_passages.docid: 16291
positive_passages.text: Discontinuous derivative.
negative_passages.docid: 157500
negative_passages.text: Are continuous functions monotonic for very small ranges?
negative_passages.docid: 136011
negative_passages.text: Must $f$ be continuous?
negative_passages.docid: 157347
negative_passages.text: continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
negative_passages.docid: 66560
negative_passages.text: Is a differentiable function always continuous?
negative_passages.docid: 11167
negative_passages.text: A counterexample of a differentiable function on an interval whose derivative is discontinuous
negative_passages.docid: 147516
negative_passages.text: Continuous function whose right hand derivative equals 0 is constant?
negative_passages.docid: 15487
negative_passages.text: Continuous function from a connected set?
negative_passages.docid: 32571
negative_passages.text: Is the maximum function of a continuous function continuous?
negative_passages.docid: 83446
negative_passages.text: bijective continuous function on $\mathbb R^n$ not homeomorphism?
negative_passages.docid: 7861
negative_passages.text: Non-analytic smooth function
negative_passages.docid: 123981
negative_passages.text: Is it possible to write any bounded continuous function as a uniform limit of smooth functions
negative_passages.docid: 33488
negative_passages.text: A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
negative_passages.docid: 147758
negative_passages.text: Differentiable but not continuously differentiable.
negative_passages.docid: 113503
negative_passages.text: Show that exists a not decreasing function that $f:(a,b)\rightarrow \mathbb{R}$ that is continuous only in $(a,b)\setminus D$.
negative_passages.docid: 150833
negative_passages.text: Discontinuities of the derivative of a differentiable function on closed interval
negative_passages.docid: 96273
negative_passages.text: Is a continuous function $ f\colon(0,\infty)\to R$, such that $f(x)\leq f(nx)$ increasing?