{"id":4300,"date":"2022-06-11T07:10:25","date_gmt":"2022-06-11T07:10:25","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4300"},"modified":"2022-06-11T07:10:25","modified_gmt":"2022-06-11T07:10:25","slug":"derivatives-of-implicit-functions","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/11\/derivatives-of-implicit-functions\/","title":{"rendered":"Derivatives of Implicit Functions"},"content":{"rendered":"\n<p>In equations where y as a function of x cannot be explicitly defined by the variables x and y, we use implicit differentiation. If f(x,y) =0 , then differentiate with respect to x and group the terms containing dy\/dx at one side and then solve for dy\/dx.<\/p>\n\n\n\n<p>For example, 2x + y = 12<\/p>\n\n\n\n<p>d\/dx(2x + y)= 0<\/p>\n\n\n\n<p>2 + dy\/dx = 0<\/p>\n\n\n\n<p>dy\/dx = -2<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In equations where y as a function of x cannot be explicitly defined by the variables x and y, we use implicit differentiation. If f(x,y) =0 , then differentiate with respect to x and group the terms containing dy\/dx at one side and then solve for dy\/dx. For example, 2x + y = 12 d\/dx(2x [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[799],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4300"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=4300"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4300\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4300"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4300"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}