{"id":4276,"date":"2022-06-10T20:06:07","date_gmt":"2022-06-10T20:06:07","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4276"},"modified":"2022-06-10T20:06:07","modified_gmt":"2022-06-10T20:06:07","slug":"derivatives","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/10\/derivatives\/","title":{"rendered":"Derivatives"},"content":{"rendered":"\n<p>A derivative is the rate of change of a quantity y with respect to another quantity x. A derivative is also termed the differential coefficient of y with respect to x. Differentiation is the process of finding the derivative of a function.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>What Are Derivatives?<\/code><\/pre>\n\n\n\n<p>If f(x) is a function\u00a0differentiable\u00a0in an interval [a,b], at every point of the interval the derivative of the\u00a0function\u00a0exists finitely and it is unique. There exists a new function g: [a,b] \u2192 R, such that, x \u2208 [a,b], g(x) = f'(x). This f'(x) is the first derivative of the function f(x), that is denoted by\u00a0df(x)dxdf(x)dx\u00a0or Df(x) or f'(x).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A derivative is the rate of change of a quantity y with respect to another quantity x. A derivative is also termed the differential coefficient of y with respect to x. Differentiation is the process of finding the derivative of a function. If f(x) is a function\u00a0differentiable\u00a0in an interval [a,b], at every point of the [&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\/4276"}],"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=4276"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4276\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4276"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4276"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4276"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}