{"id":1333,"date":"2019-09-22T11:16:14","date_gmt":"2019-09-22T11:16:14","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=1333"},"modified":"2019-09-28T11:58:55","modified_gmt":"2019-09-28T11:58:55","slug":"maximo-y-minimo","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2019\/09\/22\/maximo-y-minimo\/","title":{"rendered":"M\u00e1ximo y m\u00ednimo"},"content":{"rendered":"<pre>Problema 1 de an\u00e1lisis de primer nivel de los premios Jorge Juan de la Universidad de Alicante (2019)\r\nSe dirige a una edad de 18-20 a\u00f1os<\/pre>\n<p>Sea f una funci\u00f3n continua del intervalo [-2019, 2019] en el conjunto de los n\u00fameros reales.<\/p>\n<p>Demuestra que el conjunto X = {x \u2208 [-2019, 2019] : f(x) = f(-x)} tiene m\u00ednimo y m\u00e1ximo, y que se verifica m\u00e1x(X) + m\u00edn(X) = 0.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/09\/112.maximoyminimo-1.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-1336\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/09\/112.maximoyminimo-1.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2019\/09\/112.maximoyminimo-1-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2019\/09\/28\/solucion-a-maximo-y-minimo\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 1 de an\u00e1lisis de primer nivel de los premios Jorge Juan de la Universidad de Alicante (2019) Se dirige a una edad de 18-20 a\u00f1os Sea f una funci\u00f3n continua del intervalo [-2019, 2019] en el conjunto de los n\u00fameros reales. Demuestra que el conjunto X = {x \u2208 [-2019, 2019] : f(x) = [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[122977,1738,2849,182],"tags":[],"class_list":["post-1333","post","type-post","status-publish","format-standard","hentry","category-jorge-juan","category-olimpiadas","category-problemas","category-universidad"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1333","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=1333"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1333\/revisions"}],"predecessor-version":[{"id":1340,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1333\/revisions\/1340"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=1333"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=1333"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=1333"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}