query: Showing that an indefinite integral of a function with a jump discontinuity is not differentiable at the jump discontinuity
positive_passages.docid: 18825
positive_passages.text: Integrable but not differentiable function
negative_passages.docid: 28888
negative_passages.text: The functional $I[w] = \int_U \frac{1}{2} |Dw|^2 - fw \, dx$ is weakly lower semicontinuous
negative_passages.docid: 109301
negative_passages.text: Lebesgue Integral of Non-Measurable Function
negative_passages.docid: 157347
negative_passages.text: continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
negative_passages.docid: 133231
negative_passages.text: Discontinuity of Thomae Function on $\mathbb{Q}$
negative_passages.docid: 116044
negative_passages.text: Can one prove $\int f > 0$ for $f > 0$ without Lebesgue integration?
negative_passages.docid: 55268
negative_passages.text: Differentiable and Continuous functions on [0,1] with 'weird' conditions.
negative_passages.docid: 13674
negative_passages.text: Divergence of an improper integral
negative_passages.docid: 108284
negative_passages.text: Integration and existence of an antiderivative
negative_passages.docid: 24449
negative_passages.text: How discontinuous can a derivative be?
negative_passages.docid: 4679
negative_passages.text: Nonpiecewise Function Defined at a Point but Not Continuous There
negative_passages.docid: 142870
negative_passages.text: Prove the function is not differentiable at (0,0)
negative_passages.docid: 34565
negative_passages.text: How do I differentiate this integral?
negative_passages.docid: 123806
negative_passages.text: How do I show that the integral of $e^{inx}$ over a set of measure $1$ is nonzero for some nonzero $n$?
negative_passages.docid: 85623
negative_passages.text: Proof of continuity implied by differentiability
negative_passages.docid: 62352
negative_passages.text: Proving a scalar function is differentiable at the origin but that its partial derivatives are not continuous at that point.
negative_passages.docid: 43874
negative_passages.text: Differentiability implies continuity - A question about the proof