{"id":7589,"date":"2022-09-10T07:26:18","date_gmt":"2022-09-10T07:26:18","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=7589"},"modified":"2022-09-10T07:26:18","modified_gmt":"2022-09-10T07:26:18","slug":"inverse-trigonometric-functions-derivatives","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/09\/10\/inverse-trigonometric-functions-derivatives\/","title":{"rendered":"Inverse Trigonometric Functions Derivatives"},"content":{"rendered":"\n<p>The derivatives of inverse trigonometric functions are first-order derivatives. Let us check here the derivatives of all the six inverse functions.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-regular\"><table><tbody><tr><td><strong>Inverse Trig Function<\/strong><\/td><td><strong>dy\/dx<\/strong><\/td><\/tr><tr><td>y = sin<sup>-1<\/sup>(x)<\/td><td>1\/\u221a(1-x<sup>2<\/sup>)<\/td><\/tr><tr><td>y = cos<sup>-1<\/sup>(x)<\/td><td>-1\/\u221a(1-x<sup>2<\/sup>)<\/td><\/tr><tr><td>y = tan<sup>-1<\/sup>(x)<\/td><td>1\/(1+x<sup>2<\/sup>)<\/td><\/tr><tr><td>y = cot<sup>-1<\/sup>(x)<\/td><td>-1\/(1+x<sup>2<\/sup>)<\/td><\/tr><tr><td>y = sec<sup>-1<\/sup>(x)<\/td><td>1\/[|x|\u221a(x<sup>2<\/sup>-1)]<\/td><\/tr><tr><td>y = csc<sup>-1<\/sup>(x)<\/td><td>-1\/[|x|\u221a(x<sup>2<\/sup>-1)]<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The derivatives of inverse trigonometric functions are first-order derivatives. Let us check here the derivatives of all the six inverse functions. Inverse Trig Function dy\/dx y = sin-1(x) 1\/\u221a(1-x2) y = cos-1(x) -1\/\u221a(1-x2) y = tan-1(x) 1\/(1+x2) y = cot-1(x) -1\/(1+x2) y = sec-1(x) 1\/[|x|\u221a(x2-1)] y = csc-1(x) -1\/[|x|\u221a(x2-1)]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[482],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7589"}],"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=7589"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7589\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=7589"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=7589"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=7589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}