query: Give an example of a pair of real-valued function f and g defined on R for which f is not differentiable at 0, g is not differentiable at f(0)...
positive_passages.docid: 151947
positive_passages.text: Finding a pair of functions with properties
negative_passages.docid: 32127
negative_passages.text: Example where $f\circ g$ is bijective, but neither $f$ nor $g$ is bijective
negative_passages.docid: 143593
negative_passages.text: A sequence of differentiable functions that converge uniformly to a non differentiable function - is my example correct?
negative_passages.docid: 87131
negative_passages.text: Discontinuous at rationals and differentiable at irrationals?
negative_passages.docid: 39090
negative_passages.text: Finding functions such that $f(g(x)) = f(x)g(x)$
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: 28315
negative_passages.text: Monotone functions and non-vanishing of derivative
negative_passages.docid: 41043
negative_passages.text: example of discontinuous function having direction derivative
negative_passages.docid: 136714
negative_passages.text: Proving that $\lim_{x \to 0} \frac{f(x)}{|x|}=1$ implies $f$ is not differentiable at $0$.
negative_passages.docid: 101281
negative_passages.text: Does there exist a smooth function which is nowhere analytic?
negative_passages.docid: 77624
negative_passages.text: Characterization of sets of differentiability
negative_passages.docid: 109027
negative_passages.text: example of a non differentiable manifold
negative_passages.docid: 88463
negative_passages.text: What is an example of Gâteaux differentiable but not Fréchet differentiable at a point in a finite-dimensional space?
negative_passages.docid: 4672
negative_passages.text: Example of two convergent series whose product is not convergent.
negative_passages.docid: 144323
negative_passages.text: Differentiation of a function
negative_passages.docid: 147758
negative_passages.text: Differentiable but not continuously differentiable.