. . . . . . . "4130888"^^ . . . . . . . . . . . . . "In mathematics, Darboux's theorem is a theorem in real analysis, named after Jean Gaston Darboux. It states that every function that results from the differentiation of another function has the intermediate value property: the image of an interval is also an interval. When \u0192 is continuously differentiable (\u0192 in C1([a,b])), this is a consequence of the intermediate value theorem. But even when \u0192\u2032 is not continuous, Darboux's theorem places a severe restriction on what it can be."@en . . . . . . "1041456151"^^ . . . "In mathematics, Darboux's theorem is a theorem in real analysis, named after Jean Gaston Darboux. It states that every function that results from the differentiation of another function has the intermediate value property: the image of an interval is also an interval. When \u0192 is continuously differentiable (\u0192 in C1([a,b])), this is a consequence of the intermediate value theorem. But even when \u0192\u2032 is not continuous, Darboux's theorem places a severe restriction on what it can be."@en . . . . . . . "Darboux's theorem (analysis)"@en . . "6964"^^ . . .