{"id":143595,"date":"2018-02-20T23:50:30","date_gmt":"2018-02-20T23:50:30","guid":{"rendered":"https:\/\/writemyessayfree.com\/how-do-you-find-the-derivative-of-yln5x"},"modified":"2017-08-17T11:43:13","modified_gmt":"2017-08-17T11:43:13","slug":"how-do-you-find-the-derivative-of-yln5x","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/how-do-you-find-the-derivative-of-yln5x\/","title":{"rendered":"How do you find the derivative of ##y=ln(5x)##?"},"content":{"rendered":"<p>Here&#8217;s the rule for deriving natural logs, which is a specific case of the <b>chain rule<\/b>:<\/p>\n<p>##d\/dx ln( f(x) ) = (f'(x))\/f(x)## <\/p>\n<p>So if we let ##f(x)## from the example above be ##5x##, you get this:<\/p>\n<p>##d\/dx ln( 5x ) = (5)\/(5x)## <\/p>\n<p>Which simplifies to ##1\/x##.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here&#8217;s the rule for deriving natural logs, which is a specific case of the chain rule: ##d\/dx ln( f(x) ) = (f'(x))\/f(x)## So if we let ##f(x)## from the example above be ##5x##, you get this: ##d\/dx ln( 5x ) <a href=\"https:\/\/www.benedictsol.com\/blogs\/how-do-you-find-the-derivative-of-yln5x\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-143595","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/143595","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=143595"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/143595\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=143595"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=143595"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=143595"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}