query: Is there some "types" of "discontinuous derivative"?
positive_passages.docid: 1371
positive_passages.text: Prove that $f'(a)=\lim_{x\rightarrow a}f'(x)$.
negative_passages.docid: 37303
negative_passages.text: Differential of a smooth function
negative_passages.docid: 74793
negative_passages.text: The primitive of a discontinuous function?
negative_passages.docid: 62581
negative_passages.text: What is an example that a function is differentiable but derivative is not Riemann integrable
negative_passages.docid: 27862
negative_passages.text: Symbols of derivatives
negative_passages.docid: 12498
negative_passages.text: Derivable function on an interval $ [a,b]$ with derivative unbounded on $[a,b]$
negative_passages.docid: 78687
negative_passages.text: Integral with a discontinuity point
negative_passages.docid: 31308
negative_passages.text: Does there exist some strictly positive function such that both the derivative and second derivative are strictly negative?
negative_passages.docid: 113888
negative_passages.text: Behavior of derivative near the zero of a function.
negative_passages.docid: 109666
negative_passages.text: Example where partial derivatives commute but are not continuous.
negative_passages.docid: 140445
negative_passages.text: Sequence of continuous functions whose pointwise limit is discontinuous
negative_passages.docid: 156536
negative_passages.text: Defining functions as derivatives
negative_passages.docid: 35264
negative_passages.text: Must a monotone function have a monotone derivative?
negative_passages.docid: 41043
negative_passages.text: example of discontinuous function having direction derivative
negative_passages.docid: 152111
negative_passages.text: Difference between differentiation and derivatives
negative_passages.docid: 89057
negative_passages.text: How does one properly define the derivative of one operator-valued function?
negative_passages.docid: 30590
negative_passages.text: Are "most" continuous functions also differentiable?