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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.
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 ...
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.
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.
The engine is based on Wolfram's earlier product Wolfram Mathematica, a technical computing platform. [4] The coding is written in Wolfram Language , a general multi-paradigm [ further explanation needed ] programming language, and implemented in Mathematica . [ 9 ]