{"id":271,"date":"2012-01-06T17:06:48","date_gmt":"2012-01-06T17:06:48","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=271"},"modified":"2014-12-02T08:33:51","modified_gmt":"2014-12-02T08:33:51","slug":"quotient-rule-of-differentiation","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/quotient-rule-of-differentiation\/","title":{"rendered":"Quotient Rule of Differentiation"},"content":{"rendered":"<p>The quotient rule is a method of finding the derivative of a function that is the quotient of two other functions.<\/p>\n<p>If f(x) is the ratio of\u00a0 two functions g(x) and h(x)<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/Quo-Rule-1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-272\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/Quo-Rule-1.png\" alt=\"\" width=\"86\" height=\"48\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>then,<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/Quo-rule-2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-273\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/Quo-rule-2.png\" alt=\"\" width=\"204\" height=\"50\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>In other words, if <em>h<\/em> and <em>g<\/em> are two functions of <em>x<\/em>, then the derivative of the ratio of g and <em>h<\/em> is given as:<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/quo-rule-3.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-274\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/quo-rule-3.png\" alt=\"\" width=\"199\" height=\"72\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/Quo-rule-expl.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-275\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/Quo-rule-expl.png\" alt=\"\" width=\"314\" height=\"344\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The quotient rule is a method of finding the derivative of a function that is the quotient of two other functions. If f(x) is the ratio of\u00a0 two functions g(x) and h(x) &nbsp; &nbsp; then, &nbsp; &nbsp; In other words, if h and g are two functions of x, then the derivative of the ratio [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[4],"tags":[224,1468,1469],"class_list":["post-271","post","type-post","status-publish","format-standard","hentry","category-calculus","tag-calculus-2","tag-quotientrulederivative","tag-quotientruleofdifferentiation"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/271","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=271"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/271\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=271"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=271"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=271"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}