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A simple but very useful consequence of L'Hopital's rule is that the derivative of a function cannot have a removable discontinuity. That is, suppose that f is continuous at a , and that f ′ ( x ) {\displaystyle f'(x)} exists for all x in some open interval containing a , except perhaps for x = a {\displaystyle x=a} .
Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]
Guillaume François Antoine, Marquis de l'Hôpital [1] (French: [ɡijom fʁɑ̃swa ɑ̃twan maʁki də lopital]; sometimes spelled L'Hospital; 1661 – 2 February 1704) [a] was a French mathematician. His name is firmly associated with l'Hôpital's rule for calculating limits involving indeterminate forms 0/0 and ∞/∞.
Analyse des infiniment petits pour l'intelligence des lignes courbes, 1715 edition. Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes (literal translation: Analysis of the infinitely small to understand curves), 1696, is the first textbook published on the infinitesimal calculus of Leibniz.
In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative.
Months after its $80 million Series B fundraise, Course Hero has acquired Symbolab, an artificial intelligence-powered calculator that helps students answer and understand complex math questions.
Bronstein, Manuel (1997), Symbolic Integration 1 (transcendental functions) (2 ed.), Springer-Verlag, ISBN 3-540-60521-5 Moses, Joel (March 23–25, 1971), "Symbolic integration the stormy decade", Proceedings of the second ACM symposium on Symbolic and algebraic manipulation - SYMSAC '71 , Los Angeles, California, pp. 427– 440, doi : 10.1145 ...
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