{"id":4290,"date":"2022-06-11T06:30:20","date_gmt":"2022-06-11T06:30:20","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4290"},"modified":"2022-06-11T06:30:20","modified_gmt":"2022-06-11T06:30:20","slug":"derivatives-of-elementary-functions","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/11\/derivatives-of-elementary-functions\/","title":{"rendered":"Derivatives of Elementary Functions"},"content":{"rendered":"\n<p>The three basic derivatives of the algebraic, logarithmic\/ exponential and trigonometric functions are derived from the fundamental principle of differentiation and are used as standard\u00a0derivative formulas. They are as follows:<\/p>\n\n\n\n<ul><li>If y = lnee&nbsp;x, then dy\/dx = 1\/x<\/li><li>if y = logaa&nbsp;x, then dy\/dx = 1\/[(log a) x]<\/li><li>If y = a<sup>&nbsp;x&nbsp;<\/sup>, dy\/dx= a<sup>x&nbsp;<\/sup>log a<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The three basic derivatives of the algebraic, logarithmic\/ exponential and trigonometric functions are derived from the fundamental principle of differentiation and are used as standard\u00a0derivative formulas. They are as follows: If y = lnee&nbsp;x, then dy\/dx = 1\/x if y = logaa&nbsp;x, then dy\/dx = 1\/[(log a) x] If y = a&nbsp;x&nbsp;, dy\/dx= ax&nbsp;log a<\/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\/4290"}],"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=4290"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4290\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4290"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4290"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4290"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}