{"id":5063,"date":"2015-11-20T12:01:22","date_gmt":"2015-11-20T11:01:22","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=5063"},"modified":"2015-11-20T12:14:53","modified_gmt":"2015-11-20T11:14:53","slug":"teorema-di-lagrange-o-del-valore-medio","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=5063","title":{"rendered":"Teorema di Lagrange o del valore medio"},"content":{"rendered":"<p style=\"text-align: left;\">Sia\u00a0y=f(x) una <strong>funzione continua<\/strong>\u00a0in un intervallo chiuso e limitato\u00a0<strong>[a,b]\u00a0<\/strong>e <strong>derivabile<\/strong> nei punti interni di tale\u00a0intervallo <strong>(a,b)<\/strong>; \u00a0se <strong>\u00a0f(a) = f(b)<\/strong>, allora esiste almeno un punto<\/p>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline tex\" src=\"https:\/\/upload.wikimedia.org\/math\/f\/e\/1\/fe16c47a0d41ca36315851e67f721148.png\" alt=\"c\\in (a,b) : f'(c)=\\frac{f(b)-f(a)}{b-a}.\" \/><\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/SignGeoLagrange.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5066\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/SignGeoLagrange-1024x368.png\" alt=\"Teorema di Lagrange o del valore medio\" width=\"677\" height=\"243\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/SignGeoLagrange-1024x368.png 1024w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/SignGeoLagrange-300x108.png 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/SignGeoLagrange.png 1202w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n<p><strong>Osservazione<\/strong><br \/>\nSi noti che, come si \u00e8 affermato,\u00a0esiste almeno un punto in cui la tangente alla\u00a0curva \u00e8 parallela alla corda AB, ma ci\u00f2 non\u00a0esclude che ve ne sia pi\u00f9 di uno, come avviene,\u00a0in\u00a0figura.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sia\u00a0y=f(x) una funzione continua\u00a0in un intervallo chiuso e limitato\u00a0[a,b]\u00a0e derivabile nei punti interni di tale\u00a0intervallo (a,b); \u00a0se \u00a0f(a) = f(b), allora esiste almeno un punto Osservazione Si noti che, come si \u00e8 affermato,\u00a0esiste almeno un punto in cui la tangente alla\u00a0curva \u00e8 parallela alla corda AB, ma ci\u00f2 non\u00a0esclude che ve ne sia pi\u00f9 di uno, come avviene,\u00a0in\u00a0figura.<\/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":[205],"tags":[],"class_list":["post-5063","post","type-post","status-publish","format-standard","hentry","category-teorema-di-lagrange"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1jF","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5063","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=5063"}],"version-history":[{"count":3,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5063\/revisions"}],"predecessor-version":[{"id":5067,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5063\/revisions\/5067"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5063"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5063"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5063"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}