{"id":4306,"date":"2022-06-11T07:17:07","date_gmt":"2022-06-11T07:17:07","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4306"},"modified":"2022-06-11T07:17:07","modified_gmt":"2022-06-11T07:17:07","slug":"partial-derivatives","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/11\/partial-derivatives\/","title":{"rendered":"Partial Derivatives"},"content":{"rendered":"\n<p>If u=f(x,y) we can find the partial derivative of y keeping x as the constant or we can find the partial derivative of x by keeping y as the constant. Suppose f(x,y) = x<sup>3&nbsp;<\/sup>y<sup>2&nbsp;<\/sup>, the partial derivatives of the function are:<\/p>\n\n\n\n<ul><li>?f\/dx(x<sup>3\u00a0<\/sup>y<sup>2<\/sup>) = 3x<sup>2<\/sup>y and<\/li><\/ul>\n\n\n\n<ul><li>?f\/dy(x<sup>3\u00a0<\/sup>y<sup>2<\/sup>) = x<sup>3\u00a0<\/sup>2y<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>If u=f(x,y) we can find the partial derivative of y keeping x as the constant or we can find the partial derivative of x by keeping y as the constant. Suppose f(x,y) = x3&nbsp;y2&nbsp;, the partial derivatives of the function are: ?f\/dx(x3\u00a0y2) = 3x2y and ?f\/dy(x3\u00a0y2) = x3\u00a02y<\/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\/4306"}],"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=4306"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4306\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4306"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4306"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4306"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}