{"id":4304,"date":"2022-06-11T07:16:13","date_gmt":"2022-06-11T07:16:13","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4304"},"modified":"2022-06-11T07:16:13","modified_gmt":"2022-06-11T07:16:13","slug":"higher-order-derivatives","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/11\/higher-order-derivatives\/","title":{"rendered":"Higher-order Derivatives"},"content":{"rendered":"\n<p>We can find the successive derivatives of a function and obtain the higher-order derivatives. If y is a function, then its first derivtive is dy\/dx. The second derivative is\u00a0<\/p>\n\n\n\n<ul><li>d \/ dx .  dy \/ dx<\/li><\/ul>\n\n\n\n<p> The third derivative is\u00a0 <\/p>\n\n\n\n<ul><li>d \/ dx . d<sup>2<\/sup>y \/ dx<sup>2<\/sup> <\/li><\/ul>\n\n\n\n<p>and so on. Suppose y = 4x<sup>3\u00a0<\/sup>, we get the successive derivatives as follows.<\/p>\n\n\n\n<ul><li> y&#8217; = 12x<sup>2<\/sup>\u00a0, y&#8221; = 24 x and y&#8221;&#8217; = 24, y&#8221;&#8221;= 0.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>We can find the successive derivatives of a function and obtain the higher-order derivatives. If y is a function, then its first derivtive is dy\/dx. The second derivative is\u00a0 d \/ dx . dy \/ dx The third derivative is\u00a0 d \/ dx . d2y \/ dx2 and so on. Suppose y = 4&#215;3\u00a0, we [&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\/4304"}],"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=4304"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4304\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4304"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4304"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}