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- Leibniz_integral_rule abstract "In calculus, Leibniz's rule for differentiation under the integral sign, named after Gottfried Leibniz, tells us that if we have an integral of the form then for x in (x0, x1) the derivative of this integral is thus expressible provided that f and its partial derivative fx are both continuous over a region in the form [x0, x1] × [y0, y1].Thus under certain conditions, one may interchange the integral and partial differential operators. This important result is particularly useful in the differentiation of integral transforms. An example of such is the moment generating function in probability theory, a variation of the Laplace transform, which can be differentiated to generate the moments of a random variable. Whether Leibniz's integral rule applies is essentially a question about the interchange of limits.".
- Leibniz_integral_rule thumbnail Vector_field_on_a_surface.PNG?width=300.
- Leibniz_integral_rule wikiPageExternalLink LeibnizRule.pdf.
- Leibniz_integral_rule wikiPageID "2558855".
- Leibniz_integral_rule wikiPageRevisionID "604810532".
- Leibniz_integral_rule hasPhotoCollection Leibniz_integral_rule.
- Leibniz_integral_rule subject Category:Articles_containing_proofs.
- Leibniz_integral_rule subject Category:Gottfried_Leibniz.
- Leibniz_integral_rule subject Category:Integral_calculus.
- Leibniz_integral_rule subject Category:Multivariable_calculus.
- Leibniz_integral_rule comment "In calculus, Leibniz's rule for differentiation under the integral sign, named after Gottfried Leibniz, tells us that if we have an integral of the form then for x in (x0, x1) the derivative of this integral is thus expressible provided that f and its partial derivative fx are both continuous over a region in the form [x0, x1] × [y0, y1].Thus under certain conditions, one may interchange the integral and partial differential operators.".
- Leibniz_integral_rule label "Fórmula de Leibniz".
- Leibniz_integral_rule label "Leibniz integral rule".
- Leibniz_integral_rule label "Twierdzenie Leibniza (o różniczkowaniu pod znakiem całki)".
- Leibniz_integral_rule label "Формула Лейбница".
- Leibniz_integral_rule sameAs Twierdzenie_Leibniza_(o_różniczkowaniu_pod_znakiem_całki).
- Leibniz_integral_rule sameAs Fórmula_de_Leibniz.
- Leibniz_integral_rule sameAs m.07mzf7.
- Leibniz_integral_rule sameAs Q2996637.
- Leibniz_integral_rule sameAs Q2996637.
- Leibniz_integral_rule wasDerivedFrom Leibniz_integral_rule?oldid=604810532.
- Leibniz_integral_rule depiction Vector_field_on_a_surface.PNG.
- Leibniz_integral_rule isPrimaryTopicOf Leibniz_integral_rule.