{"id":1233,"date":"2019-03-08T18:22:44","date_gmt":"2019-03-08T11:22:44","guid":{"rendered":"http:\/\/student-activity.binus.ac.id\/himmat\/?p=1233"},"modified":"2019-03-08T18:22:44","modified_gmt":"2019-03-08T11:22:44","slug":"what-is-calculus","status":"publish","type":"post","link":"https:\/\/student-activity.binus.ac.id\/himmat\/2019\/03\/what-is-calculus\/","title":{"rendered":"What is Calculus?"},"content":{"rendered":"<p>Calculus is study of limit! Proof?<\/p>\n<p>On page 55 at E-Book<br \/>\nBut many of us even don\u2019t know what is limit. Well, limit is a tool to approximate value, let say you have ? = 5 and you say 5 ? = 5 5 = 1 this is true for ? = 5. But, when you use limit we tend to say lim ?\u21925 5 ? = lim ?\u21925 5 5 = 1 means limit as x approaches to 5 of 5 ? approaches 1.<\/p>\n<p>So even thou it\u2019s looks obvious, limits are used to approximate values. Maybe this is kind a boring but when you approach something like 0 things getting interesting~<\/p>\n<p>Let say you have lim ?\u2192 0 ?\/? , ? \u2208 \u211d. The value of that limit where x approaches 0 is infinity.<br \/>\nMaybe at a glance it doesn\u2019t make sense but when we think about the approaches meaning it make sense.<\/p>\n<p>x = 0.1, ?\/? = 10?<br \/>\nx = 0.01, ?\/? = 100?<br \/>\nx = 0.001, ?\/? = 100?<br \/>\nx = 0.000\u20260001, ?\/? = 1000\u2026000? = \u221e,<br \/>\nthis is logic, when x tends to be zero~ the limit of ?\/? = \u221e.<\/p>\n<p>Now I hope you understand how limit works because that\u2019s not the main point we want to explain in here.<br \/>\nDo you know who is the father of calculus? Clue: Newton<br \/>\nHe invented calculus when he is 25 years old, just amazing how back then they discovery such beauty in this life<br \/>\nHe define the fundamental of calculus which is rate of change<br \/>\n??\/?? = ?\u2032(?) = lim ?\u21920 ?(? + ?) \u2212 ?(?) ?<\/p>\n<p>First, ??\/?? means rate of change to t (time). Usually t denotes time in math.<br \/>\nSo the logic is, rate of change by a little (1) time subtracted by it\u2019s previous value and (2) divided with time that elapsed is the rate of change by time.<br \/>\n(1) ?(? + ?) \u2212 ?(?)<br \/>\n(2) lim ?\u21920 ?(?+?)\u2212?(?) ?<\/p>\n<p>So that the famous rate of change, it may look ugly because we all know the formula, but as a mathmagician you should know this knowledge to tell your friend right?<br \/>\nHere I list some useful formula if you learn calculus ?<br \/>\nHave a good day. [2101673042]<\/p>\n<p><a href=\"http:\/\/student-activity.binus.ac.id\/himmat\/wp-content\/uploads\/sites\/14\/2019\/03\/What-is-Calculus.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1234\" src=\"http:\/\/student-activity.binus.ac.id\/himmat\/wp-content\/uploads\/sites\/14\/2019\/03\/What-is-Calculus.png\" alt=\"\" width=\"727\" height=\"853\" srcset=\"https:\/\/student-activity.binus.ac.id\/himmat\/wp-content\/uploads\/sites\/14\/2019\/03\/What-is-Calculus.png 727w, https:\/\/student-activity.binus.ac.id\/himmat\/wp-content\/uploads\/sites\/14\/2019\/03\/What-is-Calculus-640x751.png 640w\" sizes=\"auto, (max-width: 727px) 100vw, 727px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculus is study of limit! Proof? On page 55 at E-Book But many of us even don\u2019t know what is limit. Well, limit is a tool to approximate value, let say you have ? = 5 and you say 5 ? = 5 5 = 1 this is true for ? = 5. But, when [&hellip;]<\/p>\n","protected":false},"author":15,"featured_media":1235,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1233","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articles"],"_links":{"self":[{"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/posts\/1233","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/users\/15"}],"replies":[{"embeddable":true,"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/comments?post=1233"}],"version-history":[{"count":1,"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/posts\/1233\/revisions"}],"predecessor-version":[{"id":1236,"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/posts\/1233\/revisions\/1236"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/media\/1235"}],"wp:attachment":[{"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/media?parent=1233"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/categories?post=1233"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/student-activity.binus.ac.id\/himmat\/wp-json\/wp\/v2\/tags?post=1233"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}