query: A counterexample of a differentiable function on an interval whose derivative is discontinuous
positive_passages.docid: 25482
positive_passages.text: If a function is continuous and differentiable everywhere is the derivative continuous?
negative_passages.docid: 154572
negative_passages.text: Continuity of a function at an isolated point
negative_passages.docid: 59279
negative_passages.text: Example of function that is differentiable, but the second derivative is not defined
negative_passages.docid: 123132
negative_passages.text: Counterexample for a non-measurable function?
negative_passages.docid: 55125
negative_passages.text: Continuous right derivative implies differentiability
negative_passages.docid: 72702
negative_passages.text: Estimate on the derivative at fixed point
negative_passages.docid: 114691
negative_passages.text: Why can't differentiability be generalized as nicely as continuity?
negative_passages.docid: 11017
negative_passages.text: Does existence of partial derivatives implies continuity at a point $(x_0,y_0)$?
negative_passages.docid: 158407
negative_passages.text: derivative bounded by a constant multiple of the function
negative_passages.docid: 19828
negative_passages.text: Show that $\frac{x^3}{x^2+y^2}$ is not differentiable at $(0,0)$, even though all directional derivatives exist
negative_passages.docid: 142490
negative_passages.text: Alternative proof for differentiability of inverse function?
negative_passages.docid: 38886
negative_passages.text: Discontinuous function on Q
negative_passages.docid: 157347
negative_passages.text: continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
negative_passages.docid: 109666
negative_passages.text: Example where partial derivatives commute but are not continuous.
negative_passages.docid: 53376
negative_passages.text: A continuous, nowhere differentiable but invertible function?
negative_passages.docid: 86860
negative_passages.text: Continuity of differentiable function $x^2\sin(1/x)$
negative_passages.docid: 140445
negative_passages.text: Sequence of continuous functions whose pointwise limit is discontinuous