{"id":4326,"date":"2022-06-11T07:51:56","date_gmt":"2022-06-11T07:51:56","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4326"},"modified":"2022-06-11T07:51:56","modified_gmt":"2022-06-11T07:51:56","slug":"increasing-and-decreasing-functions","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/11\/increasing-and-decreasing-functions\/","title":{"rendered":"Increasing and Decreasing Functions"},"content":{"rendered":"\n<p>By using derivatives, we can find out if a function is an increasing or decreasing function. The increasing function is a function that seems to reach the top of the x-y plane whereas the decreasing function seems like reaching the downside corner of the x-y plane. Let us say we have a function f(x) which is differentiable within the limits (a, b). Then we check any two points on the curve of the function.<\/p>\n\n\n\n<ul><li>If at any two points&nbsp;x1x1&nbsp;and&nbsp;x2x2&nbsp;such that&nbsp;x1x1&nbsp;&lt;&nbsp;x2x2, there exists a relation&nbsp;f(x1) f(x1)&nbsp;\u2264&nbsp;f(x2)f(x2), then the given function is increasing function in the given interval, and if&nbsp;f(x1)f(x1)&nbsp;&lt;&nbsp;f(x2)f(x2), then the given function is strictly increasing function in the given interval.<\/li><li>And, if at any two points&nbsp;x1x1&nbsp;and&nbsp;x2x2&nbsp;such that&nbsp;x1x1&nbsp;&lt;&nbsp;x2x2, there exists a relation&nbsp;f(x1)f(x1)&nbsp;\u2265&nbsp;f(x2) f(x2), then the given function is decreasing function in the given interval and if&nbsp;f(x1) f(x1)&nbsp;&gt;&nbsp;f(x2) f(x2), then the given function is strictly decreasing function in the given interval<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>By using derivatives, we can find out if a function is an increasing or decreasing function. The increasing function is a function that seems to reach the top of the x-y plane whereas the decreasing function seems like reaching the downside corner of the x-y plane. Let us say we have a function f(x) which [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[825],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4326"}],"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=4326"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4326\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4326"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4326"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4326"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}