{"id":5068,"date":"2015-11-20T12:22:18","date_gmt":"2015-11-20T11:22:18","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=5068"},"modified":"2015-11-20T12:22:18","modified_gmt":"2015-11-20T11:22:18","slug":"teorema-di-cauchy","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=5068","title":{"rendered":"Teorema di Cauchy"},"content":{"rendered":"<p>Siano date y=f(x) e y=g(x) due\u00a0<strong>funzioni continue<\/strong>\u00a0in un intervallo chiuso e limitato\u00a0<strong>[a,b]\u00a0<\/strong>e <strong>derivabili<\/strong>\u00a0nei punti interni di tale\u00a0intervallo <strong>(a,b)<\/strong>; inoltre <strong>g'(x)\u22600<\/strong> in\u00a0 (a,b),\u00a0 allora esiste almeno un punto c\u00a0di (a,b)\u00a0tale che<\/p>\n<p style=\"text-align: center;\"><img decoding=\"async\" src=\"https:\/\/upload.wikimedia.org\/math\/a\/1\/1\/a11f39fcba859b032a456111e12e79cb.png\" alt=\"\\frac{f^{\\prime}(c)}{g^{\\prime}(c)}=\\frac{f(b)-f(a)}{g(b)-g(a)}\" \/><\/p>\n<p style=\"text-align: left;\">\n","protected":false},"excerpt":{"rendered":"<p>Siano date y=f(x) e y=g(x) due\u00a0funzioni continue\u00a0in un intervallo chiuso e limitato\u00a0[a,b]\u00a0e derivabili\u00a0nei punti interni di tale\u00a0intervallo (a,b); inoltre g'(x)\u22600 in\u00a0 (a,b),\u00a0 allora esiste almeno un punto c\u00a0di (a,b)\u00a0tale che<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[206],"tags":[],"class_list":["post-5068","post","type-post","status-publish","format-standard","hentry","category-teorema-di-cauchy"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1jK","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5068","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5068"}],"version-history":[{"count":1,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5068\/revisions"}],"predecessor-version":[{"id":5069,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5068\/revisions\/5069"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5068"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5068"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5068"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}