{"id":4302,"date":"2022-06-11T07:11:35","date_gmt":"2022-06-11T07:11:35","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4302"},"modified":"2022-06-11T07:11:35","modified_gmt":"2022-06-11T07:11:35","slug":"parametric-derivatives","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/11\/parametric-derivatives\/","title":{"rendered":"Parametric Derivatives"},"content":{"rendered":"\n<p>In a function, we may have the dependent variables x and y which are dependent on the third independent variable. If x = f(t) and y = g(t), then derivative is calculated as dy\/dx = f'(x)\/g'(x). Suppose, if x = 4 + t<sup>2&nbsp;<\/sup>and y = 4t<sup>2&nbsp;<\/sup>-5t<sup>4&nbsp;<\/sup>, then let us find the parametric derivative.<\/p>\n\n\n\n<p>dx\/ dt = 2t and dy\/dt = 8t -20t<sup>3<\/sup><\/p>\n\n\n\n<p>dy\/dx = (dy\/dt)\/(dx\/dt)<\/p>\n\n\n\n<p>dy\/dx = (8t -20t<sup>3&nbsp;<\/sup>)\/2t<\/p>\n\n\n\n<p>=2t(4-10t<sup>2&nbsp;<\/sup>)\/2t<\/p>\n\n\n\n<p>dy\/dx = 4-10t<sup>2<\/sup><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a function, we may have the dependent variables x and y which are dependent on the third independent variable. If x = f(t) and y = g(t), then derivative is calculated as dy\/dx = f'(x)\/g'(x). Suppose, if x = 4 + t2&nbsp;and y = 4t2&nbsp;-5t4&nbsp;, then let us find the parametric derivative. dx\/ dt [&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\/4302"}],"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=4302"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4302\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4302"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4302"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4302"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}