{"id":33894,"date":"2020-04-10T10:44:21","date_gmt":"2020-04-10T14:44:21","guid":{"rendered":"https:\/\/www.myedme.com\/login\/?p=33894"},"modified":"2020-04-10T10:48:35","modified_gmt":"2020-04-10T14:48:35","slug":"chain-rule","status":"publish","type":"post","link":"https:\/\/myedme.com\/login\/chain-rule\/","title":{"rendered":"Chain Rule"},"content":{"rendered":"\n<p>There are two big parts to mastering the Chain Rule:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Identify the chain rule is necessary.<\/li><li>Use the chain rule by taking the derivative of the outside function, then the inside function.<\/li><\/ol>\n\n\n\n<p>We use the chain rule to take the derivative of a function with two components.<\/p>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=f%27%28g%28x%29%29+%3D+f%27%28g%28x%29%29+%2A+g%27%28x%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"f&#039;(g(x)) = f&#039;(g(x)) * g&#039;(x)\" class=\"latex\" \/>\n\n\n\n<p>Common functions requiring Chain Rule:<\/p>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=sin%5E2+x&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"sin^2 x\" class=\"latex\" \/>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B1%7D%7Bcos+x%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{1}{cos x}\" class=\"latex\" \/>\n\n\n\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B1%7D%7Be%5Ex%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;frac{1}{e^x}\" class=\"latex\" \/>\n\n\n\n<p>How to master:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Watch two of the three videos below that explain the Chain Rule with examples.<\/li><li>Complete the worksheet of quick practice to get down the steps.<\/li><li>Use quick practice to state whether Chain Rule is necessary. <\/li><\/ol>\n\n\n\n<p><strong>Maintenance:<\/strong> Be sure you can quickly identify whether Chain Rule applies to functions.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">NancyPi Describes Chain Rule<\/h2>\n\n\n\n<figure class=\"wp-block-embed-youtube is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"epyt-video-wrapper\"><div  id=\"_ytid_35734\"  width=\"980\" height=\"551\"  data-origwidth=\"980\" data-origheight=\"551\" data-facadesrc=\"https:\/\/www.youtube.com\/embed\/H-ybCx8gt-8?enablejsapi=1&#038;autoplay=0&#038;cc_load_policy=0&#038;cc_lang_pref=&#038;iv_load_policy=1&#038;loop=0&#038;rel=1&#038;fs=1&#038;playsinline=0&#038;autohide=2&#038;theme=dark&#038;color=red&#038;controls=1&#038;disablekb=0&#038;\" class=\"__youtube_prefs__ epyt-facade epyt-is-override  no-lazyload\" data-epautoplay=\"1\" ><img data-recalc-dims=\"1\" decoding=\"async\" data-spai-excluded=\"true\" class=\"epyt-facade-poster skip-lazy\" loading=\"lazy\"  alt=\"YouTube player\"  src=\"https:\/\/i0.wp.com\/i.ytimg.com\/vi\/H-ybCx8gt-8\/maxresdefault.jpg?w=980&#038;ssl=1\"  \/><button class=\"epyt-facade-play\" aria-label=\"Play\"><svg data-no-lazy=\"1\" height=\"100%\" version=\"1.1\" viewBox=\"0 0 68 48\" width=\"100%\"><path class=\"ytp-large-play-button-bg\" d=\"M66.52,7.74c-0.78-2.93-2.49-5.41-5.42-6.19C55.79,.13,34,0,34,0S12.21,.13,6.9,1.55 C3.97,2.33,2.27,4.81,1.48,7.74C0.06,13.05,0,24,0,24s0.06,10.95,1.48,16.26c0.78,2.93,2.49,5.41,5.42,6.19 C12.21,47.87,34,48,34,48s21.79-0.13,27.1-1.55c2.93-0.78,4.64-3.26,5.42-6.19C67.94,34.95,68,24,68,24S67.94,13.05,66.52,7.74z\" fill=\"#f00\"><\/path><path d=\"M 45,24 27,14 27,34\" fill=\"#fff\"><\/path><\/svg><\/button><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<hr class=\"wp-block-separator is-style-default\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Organic Chemistry Tutor provides examples of the Chain Rule<\/h3>\n\n\n\n<figure class=\"wp-block-embed-youtube is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"epyt-video-wrapper\"><div  id=\"_ytid_91613\"  width=\"980\" height=\"551\"  data-origwidth=\"980\" data-origheight=\"551\" data-facadesrc=\"https:\/\/www.youtube.com\/embed\/HaHsqDjWMLU?enablejsapi=1&#038;autoplay=0&#038;cc_load_policy=0&#038;cc_lang_pref=&#038;iv_load_policy=1&#038;loop=0&#038;rel=1&#038;fs=1&#038;playsinline=0&#038;autohide=2&#038;theme=dark&#038;color=red&#038;controls=1&#038;disablekb=0&#038;\" class=\"__youtube_prefs__ epyt-facade epyt-is-override  no-lazyload\" data-epautoplay=\"1\" ><img data-recalc-dims=\"1\" decoding=\"async\" data-spai-excluded=\"true\" class=\"epyt-facade-poster skip-lazy\" loading=\"lazy\"  alt=\"YouTube player\"  src=\"https:\/\/i0.wp.com\/i.ytimg.com\/vi\/HaHsqDjWMLU\/maxresdefault.jpg?w=980&#038;ssl=1\"  \/><button class=\"epyt-facade-play\" aria-label=\"Play\"><svg data-no-lazy=\"1\" height=\"100%\" version=\"1.1\" viewBox=\"0 0 68 48\" width=\"100%\"><path class=\"ytp-large-play-button-bg\" d=\"M66.52,7.74c-0.78-2.93-2.49-5.41-5.42-6.19C55.79,.13,34,0,34,0S12.21,.13,6.9,1.55 C3.97,2.33,2.27,4.81,1.48,7.74C0.06,13.05,0,24,0,24s0.06,10.95,1.48,16.26c0.78,2.93,2.49,5.41,5.42,6.19 C12.21,47.87,34,48,34,48s21.79-0.13,27.1-1.55c2.93-0.78,4.64-3.26,5.42-6.19C67.94,34.95,68,24,68,24S67.94,13.05,66.52,7.74z\" fill=\"#f00\"><\/path><path d=\"M 45,24 27,14 27,34\" fill=\"#fff\"><\/path><\/svg><\/button><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Khan Academy has a great overview of the Chain Rule<\/h3>\n\n\n\n<figure class=\"wp-block-embed-youtube is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"epyt-video-wrapper\"><div  id=\"_ytid_46350\"  width=\"980\" height=\"551\"  data-origwidth=\"980\" data-origheight=\"551\" data-facadesrc=\"https:\/\/www.youtube.com\/embed\/0T0QrHO56qg?enablejsapi=1&#038;autoplay=0&#038;cc_load_policy=0&#038;cc_lang_pref=&#038;iv_load_policy=1&#038;loop=0&#038;rel=1&#038;fs=1&#038;playsinline=0&#038;autohide=2&#038;theme=dark&#038;color=red&#038;controls=1&#038;disablekb=0&#038;\" class=\"__youtube_prefs__ epyt-facade epyt-is-override  no-lazyload\" data-epautoplay=\"1\" ><img data-recalc-dims=\"1\" decoding=\"async\" data-spai-excluded=\"true\" class=\"epyt-facade-poster skip-lazy\" loading=\"lazy\"  alt=\"YouTube player\"  src=\"https:\/\/i0.wp.com\/i.ytimg.com\/vi\/0T0QrHO56qg\/maxresdefault.jpg?w=980&#038;ssl=1\"  \/><button class=\"epyt-facade-play\" aria-label=\"Play\"><svg data-no-lazy=\"1\" height=\"100%\" version=\"1.1\" viewBox=\"0 0 68 48\" width=\"100%\"><path class=\"ytp-large-play-button-bg\" d=\"M66.52,7.74c-0.78-2.93-2.49-5.41-5.42-6.19C55.79,.13,34,0,34,0S12.21,.13,6.9,1.55 C3.97,2.33,2.27,4.81,1.48,7.74C0.06,13.05,0,24,0,24s0.06,10.95,1.48,16.26c0.78,2.93,2.49,5.41,5.42,6.19 C12.21,47.87,34,48,34,48s21.79-0.13,27.1-1.55c2.93-0.78,4.64-3.26,5.42-6.19C67.94,34.95,68,24,68,24S67.94,13.05,66.52,7.74z\" fill=\"#f00\"><\/path><path d=\"M 45,24 27,14 27,34\" fill=\"#fff\"><\/path><\/svg><\/button><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Distrust Authority? <\/h3>\n\n\n\n<p>This hands-on example shows how the chain rule works using wheels representing each function: <\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/webspace.ship.edu\/msrenault\/GeoGebraCalculus\/derivative_intuitive_chain_rule.html\">http:\/\/webspace.ship.edu\/msrenault\/GeoGebraCalculus\/derivative_intuitive_chain_rule.html<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>There are two big parts to mastering the Chain Rule: Identify the chain rule is necessary. Use the chain rule by taking the derivative of the outside function, then the inside function. We use the chain rule to take the derivative of a function with two components. Common functions requiring Chain Rule: How to master: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-33894","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33894","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/comments?post=33894"}],"version-history":[{"count":2,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33894\/revisions"}],"predecessor-version":[{"id":33896,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33894\/revisions\/33896"}],"wp:attachment":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/media?parent=33894"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/categories?post=33894"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/tags?post=33894"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}