{"id":15154,"date":"2026-09-21T20:53:01","date_gmt":"2026-09-21T18:53:01","guid":{"rendered":"https:\/\/www.jordialemanysabater.cat\/?p=15154"},"modified":"2026-09-21T20:53:01","modified_gmt":"2026-09-21T18:53:01","slug":"exponential-function","status":"publish","type":"post","link":"https:\/\/www.jordialemanysabater.cat\/en\/exponential-function\/","title":{"rendered":"EXPONENTIAL FUNCTION"},"content":{"rendered":"<p>Starting with a tricky function &#8220;y&#8221;, let&#8217;s try to find another aspect of it by using the classical Taylor Serie. The coefficients of each y^n (n=0,1,2,3,4&#8230;) generated by the derivatives from one to en\u00e9ssim times, follow, surprisingly, a rule which can be expressed as calculus series of numbers.<\/p>\n<p><a href=\"https:\/\/www.jordialemanysabater.cat\/wp-content\/uploads\/2026\/09\/yfuncioambexponentsangles.pdf\" target=\"_blank\" rel=\"noopener\">read more<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Starting with a tricky function &#8220;y&#8221;, let&#8217;s try to find another aspect of it by using the classical Taylor Serie. The coefficients of each y^n (n=0,1,2,3,4&#8230;) generated by the derivatives from one to en\u00e9ssim times, follow, surprisingly, a rule which can be expressed as calculus series of numbers. read more &nbsp;<\/p>\n","protected":false},"author":2,"featured_media":11313,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[37,36,31],"tags":[],"class_list":["post-15154","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-classical-and-advanced-mathematics","category-mathematics","category-science-en"],"_links":{"self":[{"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/posts\/15154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/comments?post=15154"}],"version-history":[{"count":2,"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/posts\/15154\/revisions"}],"predecessor-version":[{"id":15160,"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/posts\/15154\/revisions\/15160"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/media\/11313"}],"wp:attachment":[{"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/media?parent=15154"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/categories?post=15154"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jordialemanysabater.cat\/en\/wp-json\/wp\/v2\/tags?post=15154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}