{"id":144,"date":"2010-03-20T03:55:20","date_gmt":"2010-03-20T03:55:20","guid":{"rendered":"http:\/\/blogs.ess-edu.pt\/sm2010\/?p=144"},"modified":"2023-10-08T23:17:17","modified_gmt":"2023-10-08T23:17:17","slug":"i-will-derive","status":"publish","type":"post","link":"https:\/\/blogs.ess-edu.pt\/sm2010\/2010\/03\/20\/i-will-derive\/","title":{"rendered":"I Will Derive"},"content":{"rendered":"\n<style>.embed-container { position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }<\/style><div class=\"embed-container\"><iframe src=\"https:\/\/www.youtube.com\/embed\/P9dpTTpjymE\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div>\n\n\n<p><!--more--><\/p>\n<p style=\"text-align: center;\"><strong>I Will Derive<\/strong><\/p>\n<p style=\"text-align: center;\">At first I was afraid, what could the answer be?<\/p>\n<p style=\"text-align: center;\">It said given this position find velocity.<\/p>\n<p style=\"text-align: center;\">So I tried to work it out, but I knew that I was wrong.<\/p>\n<p style=\"text-align: center;\">I struggled; I cried, &#8220;A problem shouldn&#8217;t take this long!&#8221;<\/p>\n<p style=\"text-align: center;\">I tried to think, control my nerve.<\/p>\n<p style=\"text-align: center;\">It&#8217;s evident that speed&#8217;s tangential to that time-position curve.<\/p>\n<p style=\"text-align: center;\">This problem would be mine if I just knew that tangent line.<\/p>\n<p style=\"text-align: center;\">But what to do? Show me a sign!<\/p>\n<p style=\"text-align: center;\">So I thought back to Calculus.<\/p>\n<p style=\"text-align: center;\">Way back to Newton and to Leibniz,<\/p>\n<p style=\"text-align: center;\">And to problems just like this.<\/p>\n<p style=\"text-align: center;\">And just like that when I had given up all hope,<\/p>\n<p style=\"text-align: center;\">I said nope, there&#8217;s just one way to find that slope.<\/p>\n<p style=\"text-align: center;\">And so now I, I will derive.<\/p>\n<p style=\"text-align: center;\">Find the derivative of x position with respect to time.<\/p>\n<p style=\"text-align: center;\">It&#8217;s as easy as can be, just have to take dx\/dt.<\/p>\n<p style=\"text-align: center;\">I will derive, I will derive. Hey, hey!<\/p>\n<p style=\"text-align: center;\">And then I went ahead to the second part.<\/p>\n<p style=\"text-align: center;\">But as I looked at it I wasn&#8217;t sure quite how to start.<\/p>\n<p style=\"text-align: center;\">It was asking for the time at which velocity<\/p>\n<p style=\"text-align: center;\">Was at a maximum, and I was thinking &#8220;Woe is me.&#8221;<\/p>\n<p style=\"text-align: center;\">But then I thought, this much I know.<\/p>\n<p style=\"text-align: center;\">I&#8217;ve gotta find acceleration, set it equal to zero.<\/p>\n<p style=\"text-align: center;\">Now if I only knew what the function was for a.<\/p>\n<p style=\"text-align: center;\">I guess I&#8217;m gonna have to solve for it someway.<\/p>\n<p style=\"text-align: center;\">So I thought back to Calculus.<\/p>\n<p style=\"text-align: center;\">Way back to Newton and to Leibniz,<\/p>\n<p style=\"text-align: center;\">And to problems just like this.<\/p>\n<p style=\"text-align: center;\">And just like that when I had given up all hope,<\/p>\n<p style=\"text-align: center;\">I said nope, there&#8217;s just one way to find that slope.<\/p>\n<p style=\"text-align: center;\">And so now I, I will derive.<\/p>\n<p style=\"text-align: center;\">Find the derivative of velocity with respect to time.<\/p>\n<p style=\"text-align: center;\">It&#8217;s as easy as can be, just have to take dv\/dt.<\/p>\n<p style=\"text-align: center;\">I will derive, I will derive.<\/p>\n<p style=\"text-align: center;\">So I thought back to Calculus.<\/p>\n<p style=\"text-align: center;\">Way back to Newton and to Leibniz,<\/p>\n<p style=\"text-align: center;\">And to problems just like this.<\/p>\n<p style=\"text-align: center;\">And just like that when I had given up all hope,<\/p>\n<p style=\"text-align: center;\">I said nope, there&#8217;s just one way to find that slope.<\/p>\n<p style=\"text-align: center;\">And so now I, I will derive.<\/p>\n<p style=\"text-align: center;\">Find the derivative of x position with respect to time.<\/p>\n<p style=\"text-align: center;\">It&#8217;s as easy as can be, just have to take dx\/dt.<\/p>\n<p style=\"text-align: center;\">I will derive, I will derive, I will derive!<\/p>\n<p style=\"text-align: center;\"><strong>\u00a0<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>Vers\u00e3o legendada<\/strong>:<\/p>\n\n\n<style>.embed-container { position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }<\/style><div class=\"embed-container\"><iframe src=\"https:\/\/www.youtube.com\/embed\/dEzOuneLJ64\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p style=\"text-align: center;\"><strong>I Will Survive<\/strong>:<\/p>\n\n\n\n<style>.embed-container { position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }<\/style><div class=\"embed-container\"><iframe src=\"https:\/\/www.youtube.com\/embed\/6dYWe1c3OyU\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[40,172],"tags":[4208,134,4204,4203],"class_list":{"0":"post-144","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-divulgacao","7":"category-video","8":"tag-gloria-gaynor","9":"tag-matematica","10":"tag-musica","11":"tag-video","12":"czr-hentry"},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/paunYK-2k","jetpack-related-posts":[{"id":30,"url":"https:\/\/blogs.ess-edu.pt\/sm2010\/2010\/02\/28\/24\/","url_meta":{"origin":144,"position":0},"title":"My Triangle","author":"Ant\u00f3nio Amaral","date":"28 de Fevereiro de 2010","format":false,"excerpt":"Enjoy this preview of James Blunt singing a parody of his hit song \"You're Beautiful\" titled \"My Triangle\" airing on August 31st, 2007 as part of the new season of Sesame Street! James Blunt - You're Beautiful (Live)","rel":"","context":"In &quot;Divulga\u00e7\u00e3o&quot;","block_context":{"text":"Divulga\u00e7\u00e3o","link":"https:\/\/blogs.ess-edu.pt\/sm2010\/category\/divulgacao\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":146,"url":"https:\/\/blogs.ess-edu.pt\/sm2010\/2010\/03\/20\/mean-median-and-mode-song\/","url_meta":{"origin":144,"position":1},"title":"Mean Median and Mode Song","author":"Ant\u00f3nio Amaral","date":"20 de Mar\u00e7o de 2010","format":false,"excerpt":"","rel":"","context":"In &quot;V\u00eddeo&quot;","block_context":{"text":"V\u00eddeo","link":"https:\/\/blogs.ess-edu.pt\/sm2010\/category\/video\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":256,"url":"https:\/\/blogs.ess-edu.pt\/sm2010\/2011\/03\/10\/what-pi-sounds-like\/","url_meta":{"origin":144,"position":2},"title":"What Pi Sounds Like","author":"admin","date":"10 de Mar\u00e7o de 2011","format":false,"excerpt":"O M\u00fasico Michael John Blake mostra-nos \u201cWhat Pi Sounds Like\u201d efetuando a transposi\u00e7\u00e3o do n\u00famero (com 31 casas decimais) para notas musicais.","rel":"","context":"In &quot;Divulga\u00e7\u00e3o&quot;","block_context":{"text":"Divulga\u00e7\u00e3o","link":"https:\/\/blogs.ess-edu.pt\/sm2010\/category\/divulgacao\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":47,"url":"https:\/\/blogs.ess-edu.pt\/sm2010\/2010\/03\/05\/the-fantastic-world-of-m-c-escher\/","url_meta":{"origin":144,"position":3},"title":"The Fantastic World of M. C. Escher","author":"Ant\u00f3nio Amaral","date":"5 de Mar\u00e7o de 2010","format":false,"excerpt":"This documentary explores the art and life of M. C. Escher. The Dutch graphic artist Maurits Corneille Escher was born in June 17, 1898. His bizarre renderings of distorted perspectives, visual puns, and optical illusions made him a unique figure in the art world and a pop icon in the\u2026","rel":"","context":"In &quot;Divulga\u00e7\u00e3o&quot;","block_context":{"text":"Divulga\u00e7\u00e3o","link":"https:\/\/blogs.ess-edu.pt\/sm2010\/category\/divulgacao\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":49,"url":"https:\/\/blogs.ess-edu.pt\/sm2010\/2010\/03\/05\/m-c-escher-images-of-mathematics\/","url_meta":{"origin":144,"position":4},"title":"M. C. Escher, Images of Mathematics&#8230;","author":"Ant\u00f3nio Amaral","date":"5 de Mar\u00e7o de 2010","format":false,"excerpt":"Escher's work covered a variety of subjects throughout his life. His early love of portraits, Roman and Italian landscapes and of nature, eventually gave way to regular division of the plane... Over 150 colorful and recognizable works testify to Escher's ingenuity and vision. He managed to capture the notion of\u2026","rel":"","context":"In &quot;Divulga\u00e7\u00e3o&quot;","block_context":{"text":"Divulga\u00e7\u00e3o","link":"https:\/\/blogs.ess-edu.pt\/sm2010\/category\/divulgacao\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":118,"url":"https:\/\/blogs.ess-edu.pt\/sm2010\/2010\/03\/09\/donald-no-pais-da-matematica\/","url_meta":{"origin":144,"position":5},"title":"Donald no Pa\u00eds da Matem\u00e1gica","author":"Ant\u00f3nio Amaral","date":"9 de Mar\u00e7o de 2010","format":false,"excerpt":"Donald no Pa\u00eds da Matem\u00e1gica (\"Donald in Mathmagic Land\") \u00e9 uma curta-metragem de 27 minutos em que a estrela \u00e9 o Pato Donald. O filme foi lan\u00e7ado nos EUA em 26 de junho de 1959 e foi dirigido por Hamilton Luske. O filme foi disponibilizado para v\u00e1rias escolas, e tornou-se\u2026","rel":"","context":"In &quot;Divulga\u00e7\u00e3o&quot;","block_context":{"text":"Divulga\u00e7\u00e3o","link":"https:\/\/blogs.ess-edu.pt\/sm2010\/category\/divulgacao\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/blogs.ess-edu.pt\/sm2010\/wp-json\/wp\/v2\/posts\/144","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ess-edu.pt\/sm2010\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ess-edu.pt\/sm2010\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ess-edu.pt\/sm2010\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ess-edu.pt\/sm2010\/wp-json\/wp\/v2\/comments?post=144"}],"version-history":[{"count":0,"href":"https:\/\/blogs.ess-edu.pt\/sm2010\/wp-json\/wp\/v2\/posts\/144\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.ess-edu.pt\/sm2010\/wp-json\/wp\/v2\/media?parent=144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ess-edu.pt\/sm2010\/wp-json\/wp\/v2\/categories?post=144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ess-edu.pt\/sm2010\/wp-json\/wp\/v2\/tags?post=144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}