{"id":8942,"date":"2017-03-09T10:06:37","date_gmt":"2017-03-09T09:06:37","guid":{"rendered":"http:\/\/www.matematicaok.com\/?p=8942"},"modified":"2017-03-09T10:12:42","modified_gmt":"2017-03-09T09:12:42","slug":"esercizio-11-punti-stazionari-e-flessi","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=8942","title":{"rendered":"Esercizio 11 &#8211; Punti stazionari e flessi in funzione polinomiale con parametri"},"content":{"rendered":"<p>Dimostra che la funzione f(x) = ax<sup>4<\/sup> + bx<sup>3<\/sup> + c\u00a0per qualsiasi a, b non nulli ha due punti stazionari e due flessi, uno dei quali coincide con uno dei\u00a0punti stazionari. Trova per quali valori di a, b, c<br \/>\ni punti di flesso sono (0;- 1) e (1; 0).<\/p>\n<p><a href=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es11_Derivabilit\u00e0.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8938\" src=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es11_Derivabilit\u00e0-764x1024.jpg\" alt=\"\" width=\"677\" height=\"907\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es11_Derivabilit\u00e0-764x1024.jpg 764w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es11_Derivabilit\u00e0-224x300.jpg 224w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es11_Derivabilit\u00e0-768x1029.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es11_Derivabilit\u00e0.jpg 1200w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dimostra che la funzione f(x) = ax4 + bx3 + c\u00a0per qualsiasi a, b non nulli ha due punti stazionari e due flessi, uno dei quali coincide con uno dei\u00a0punti stazionari. Trova per quali valori di a, b, c i punti di flesso sono (0;- 1) e (1; 0).<\/p>\n","protected":false},"author":1,"featured_media":8938,"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":true,"_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":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[143,168,127,170,171],"tags":[],"class_list":["post-8942","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-analisi-matematica","category-derivabilita","category-esercizi-svolti","category-flessi","category-massimi"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es11_Derivabilit\u00e0.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-2ke","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8942","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=8942"}],"version-history":[{"count":2,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8942\/revisions"}],"predecessor-version":[{"id":8946,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8942\/revisions\/8946"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/8938"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8942"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8942"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8942"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}