{"id":20956,"date":"2022-03-27T20:45:56","date_gmt":"2022-03-27T20:45:56","guid":{"rendered":"https:\/\/onlinemathtutor.co\/?page_id=20956"},"modified":"2023-02-03T21:46:29","modified_gmt":"2023-02-03T21:46:29","slug":"virtual-lessons-differentiation-related-rates","status":"publish","type":"page","link":"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/virtual-lessons-differentiation-related-rates\/","title":{"rendered":"Virtual Lessons \u2013 Differentiation \u2013 Related Rates"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"20956\" class=\"elementor elementor-20956\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9e10c1b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9e10c1b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6d0912b0\" data-id=\"6d0912b0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-66e37446 elementor-widget elementor-widget-heading\" data-id=\"66e37446\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Virtual Lessons: Related Rates<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3ff9edea elementor-section-stretched elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3ff9edea\" data-element_type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5682c873\" data-id=\"5682c873\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1e9c4241 elementor-nav-menu__align-center elementor-nav-menu--stretch elementor-nav-menu__text-align-center animated-fast elementor-nav-menu--dropdown-tablet elementor-nav-menu--toggle elementor-nav-menu--burger elementor-widget elementor-widget-nav-menu\" data-id=\"1e9c4241\" data-element_type=\"widget\" data-settings=\"{&quot;submenu_icon&quot;:{&quot;value&quot;:&quot;&lt;i class=\\&quot;fas fa-pencil-alt\\&quot;&gt;&lt;\\\/i&gt;&quot;,&quot;library&quot;:&quot;fa-solid&quot;},&quot;full_width&quot;:&quot;stretch&quot;,&quot;_animation&quot;:&quot;none&quot;,&quot;layout&quot;:&quot;horizontal&quot;,&quot;toggle&quot;:&quot;burger&quot;}\" data-widget_type=\"nav-menu.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<nav aria-label=\"Menu\" class=\"elementor-nav-menu--main elementor-nav-menu__container elementor-nav-menu--layout-horizontal e--pointer-double-line e--animation-fast\">\n\t\t\t\t<ul id=\"menu-1-1e9c4241\" class=\"elementor-nav-menu\"><li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-20872\"><a href=\"#\" class=\"elementor-item elementor-item-anchor\">Differentiation Techniques<\/a>\n<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20932\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-limit-definition\/\" class=\"elementor-sub-item\">Limit Definition<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20933\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-basic-rules\/\" class=\"elementor-sub-item\">Basic Rules<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20935\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-chain-rule\/\" class=\"elementor-sub-item\">Chain Rule<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20934\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-inverse\/\" class=\"elementor-sub-item\">Inverse<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20936\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-implicit\/\" class=\"elementor-sub-item\">Implicit<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-20873\"><a href=\"#\" class=\"elementor-item elementor-item-anchor\">Differentiation Applications<\/a>\n<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20939\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-lhopitals-rule\/\" class=\"elementor-sub-item\">L\u2019Hopital\u2019s Rule<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20938\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-mvt\/\" class=\"elementor-sub-item\">Mean Value Theorem<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20937\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-linearization\/\" class=\"elementor-sub-item\">Linearization<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20941\"><a href=\"https:\/\/onlinemathtutor.co\/differentiation-practice-problems-curve-sketching\/\" class=\"elementor-sub-item\">Curve Sketching<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20942\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-related-rates\/\" class=\"elementor-sub-item\">Related Rates<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20940\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-optimization\/\" class=\"elementor-sub-item\">Optimization<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t\t<div class=\"elementor-menu-toggle\" role=\"button\" tabindex=\"0\" aria-label=\"Menu Toggle\" aria-expanded=\"false\">\n\t\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"elementor-menu-toggle__icon--open eicon-menu-bar\"><\/i><i aria-hidden=\"true\" role=\"presentation\" class=\"elementor-menu-toggle__icon--close eicon-close\"><\/i>\t\t<\/div>\n\t\t\t\t\t<nav class=\"elementor-nav-menu--dropdown elementor-nav-menu__container\" aria-hidden=\"true\">\n\t\t\t\t<ul id=\"menu-2-1e9c4241\" class=\"elementor-nav-menu\"><li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-20872\"><a href=\"#\" class=\"elementor-item elementor-item-anchor\" tabindex=\"-1\">Differentiation Techniques<\/a>\n<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20932\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-limit-definition\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Limit Definition<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20933\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-basic-rules\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Basic Rules<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20935\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-chain-rule\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Chain Rule<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20934\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-inverse\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Inverse<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20936\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-implicit\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Implicit<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-20873\"><a href=\"#\" class=\"elementor-item elementor-item-anchor\" tabindex=\"-1\">Differentiation Applications<\/a>\n<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20939\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-lhopitals-rule\/\" class=\"elementor-sub-item\" tabindex=\"-1\">L\u2019Hopital\u2019s Rule<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20938\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-mvt\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Mean Value Theorem<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20937\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-linearization\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Linearization<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20941\"><a href=\"https:\/\/onlinemathtutor.co\/differentiation-practice-problems-curve-sketching\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Curve Sketching<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20942\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-related-rates\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Related Rates<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20940\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/differentiation-practice-problems-optimization\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Optimization<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4b755068 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"4b755068\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-72276966 elementor-widget elementor-widget-text-editor\" data-id=\"72276966\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: justify;\"><span style=\"font-size: 18px;\">Related rates are an application of implicit differential whose variable of differentiation is typically in terms of time \\(t\\). These problems, as the name suggests, relate various rates by analyzing differentials.\u00a0<\/span><\/p><p><span style=\"font-size: 18px;\">To solve these problems,<\/span><\/p><ol><li><span style=\"font-size: 18px;\">Construct a diagram that will capture the meaning of the problem at hand.<\/span><\/li><li><span style=\"font-size: 18px;\">Use the diagram to better understand the problem.<\/span><\/li><li>Determine how to Relate Quantities to find Rated relates.\u00a0<\/li><li><span style=\"font-size: 18px;\">Develop a system of equations<\/span><\/li><li><span style=\"font-size: 18px;\">Compute the necessary differentials<\/span><\/li><li><span style=\"font-size: 18px;\">Plug in the given values and solve for the indicated variable<\/span><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3d6a51de elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"3d6a51de\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-448b65d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"448b65d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f45862c\" data-id=\"f45862c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0a9e317 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Ballon&quot;,&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/Calculus\\\/Unit04\\\/RelatedRates\\\/ThumbNail-ImplicitDiff-RelateRates-Hotair-Balloon.jpg&quot;,&quot;id&quot;:26682,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;RelatedRates - ThumbNail ImplicitDiff RelateRates Hotair Balloon&quot;,&quot;source&quot;:&quot;library&quot;},&quot;vimeo_url&quot;:null,&quot;youtube_url&quot;:null,&quot;is_external_url&quot;:&quot;&quot;,&quot;external_url&quot;:null,&quot;section_html_tag&quot;:null,&quot;video_html_tag&quot;:&quot;h4&quot;,&quot;duration&quot;:&quot;&quot;,&quot;inner_tab_is_content_visible&quot;:&quot;&quot;,&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null},{&quot;_id&quot;:&quot;70404c0&quot;,&quot;type&quot;:&quot;hosted&quot;,&quot;hosted_url&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/Calculus\\\/Unit04\\\/RelatedRates\\\/Virtual-Lesson-ImplicitDiff-RelateRates-Conical-Tank.mp4&quot;,&quot;id&quot;:26678,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;RelatedRates - Virtual Lesson ImplicitDiff RelateRates Conical Tank&quot;,&quot;source&quot;:&quot;library&quot;},&quot;title&quot;:&quot;*(03) Conical Tank&quot;,&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/Calculus\\\/Unit04\\\/RelatedRates\\\/ThumbNail-ImplicitDiff-RelateRates-Conical-Tank.jpg&quot;,&quot;id&quot;:26683,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;RelatedRates - ThumbNail ImplicitDiff RelateRates Conical Tank&quot;,&quot;source&quot;:&quot;library&quot;},&quot;vimeo_url&quot;:null,&quot;youtube_url&quot;:null,&quot;is_external_url&quot;:&quot;&quot;,&quot;external_url&quot;:null,&quot;section_html_tag&quot;:null,&quot;video_html_tag&quot;:&quot;h4&quot;,&quot;duration&quot;:&quot;&quot;,&quot;inner_tab_is_content_visible&quot;:&quot;&quot;,&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null},{&quot;_id&quot;:&quot;8feedae&quot;,&quot;type&quot;:&quot;hosted&quot;,&quot;hosted_url&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/Calculus\\\/Unit04\\\/RelatedRates\\\/Virtual-Lesson-ImplicitDiff-RelateRates-MovingLadder.mp4&quot;,&quot;id&quot;:26676,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;RelatedRates - Virtual Lesson ImplicitDiff RelateRates MovingLadder&quot;,&quot;source&quot;:&quot;library&quot;},&quot;title&quot;:&quot;*(04) Moving Ladder&quot;,&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/Calculus\\\/Unit04\\\/RelatedRates\\\/ThumbNail-ImplicitDiff-RelateRates-MovingLadder.jpg&quot;,&quot;id&quot;:26681,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;RelatedRates - ThumbNail ImplicitDiff RelateRates MovingLadder&quot;,&quot;source&quot;:&quot;library&quot;},&quot;vimeo_url&quot;:null,&quot;youtube_url&quot;:null,&quot;is_external_url&quot;:&quot;&quot;,&quot;external_url&quot;:null,&quot;section_html_tag&quot;:null,&quot;video_html_tag&quot;:&quot;h4&quot;,&quot;duration&quot;:&quot;&quot;,&quot;inner_tab_is_content_visible&quot;:&quot;&quot;,&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null},{&quot;_id&quot;:&quot;f02593f&quot;,&quot;type&quot;:&quot;hosted&quot;,&quot;title&quot;:&quot;*(05) Baseball Diamond&quot;,&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/Calculus\\\/Unit04\\\/RelatedRates\\\/ThumbNail-ImplicitDiff-RelateRates-Baseball-Diamond.jpg&quot;,&quot;id&quot;:26684,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;RelatedRates - ThumbNail ImplicitDiff RelateRates Baseball Diamond&quot;,&quot;source&quot;:&quot;library&quot;},&quot;hosted_url&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/Calculus\\\/Unit04\\\/RelatedRates\\\/Virtual-Lesson-ImplicitDiff-RelateRates-Baseball-Diamond.mp4&quot;,&quot;id&quot;:26679,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;RelatedRates - Virtual Lesson ImplicitDiff RelateRates Baseball Diamond&quot;,&quot;source&quot;:&quot;library&quot;},&quot;vimeo_url&quot;:null,&quot;youtube_url&quot;:null,&quot;is_external_url&quot;:&quot;&quot;,&quot;external_url&quot;:null,&quot;section_html_tag&quot;:null,&quot;video_html_tag&quot;:&quot;h4&quot;,&quot;duration&quot;:&quot;&quot;,&quot;inner_tab_is_content_visible&quot;:&quot;&quot;,&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null}],&quot;inner_tab_title_1&quot;:&quot;Tab #1&quot;,&quot;inner_tab_title_2&quot;:&quot;Tab #2&quot;,&quot;show_watched_indication&quot;:&quot;yes&quot;,&quot;lazy_load&quot;:&quot;yes&quot;,&quot;autoplay_next&quot;:&quot;yes&quot;}\" data-widget_type=\"video-playlist.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\n\t\t<div class=\"e-tabs\">\n\t\t\t<div class=\"e-tabs-main-area\">\n\t\t\t\t<div class=\"e-tabs-wrapper\">\n\t\t\t\t\t<div class=\"e-tabs-header\">\n\t\t\t\t\t\t<h2 class=\"e-tabs-title\">Differentiation Lessons<\/h2>\n\t\t\t\t\t\t<div class=\"e-tabs-header-right-side\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"e-tabs-videos-count\">5 Videos<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"e-tabs-toggle-videos-display-button rotate-down eicon-caret-down\"><\/i>\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div class=\"e-tabs-items-wrapper\">\n\t\t\t\t\t\t<div class=\"e-tabs-items\" role=\"tablist\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h3 class=\"e-section-title\">Related Rates<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-1112\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-1112\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/ThumbNail-ImplicitDiff-RelateRates-Hotair-Balloon.jpg\" alt=\"(01) Spherical Ballon\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">(01) Spherical Ballon<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-1113\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-1113\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/ThumbNail-ImplicitDiff-RelateRates-Hotair-Balloon.jpg\" alt=\"*(02) Hot Air Ballon\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">*(02) Hot Air Ballon<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-1114\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-1114\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/ThumbNail-ImplicitDiff-RelateRates-Conical-Tank.jpg\" alt=\"*(03) Conical Tank\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">*(03) Conical Tank<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-1115\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"5\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-1115\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/ThumbNail-ImplicitDiff-RelateRates-MovingLadder.jpg\" alt=\"*(04) Moving Ladder\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">*(04) Moving Ladder<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-1116\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"6\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-1116\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/ThumbNail-ImplicitDiff-RelateRates-Baseball-Diamond.jpg\" alt=\"*(05) Baseball Diamond\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">*(05) Baseball Diamond<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"shadow shadow-top\" aria-hidden=\"true\"><\/div>\n\t\t\t\t\t\t<div class=\"shadow shadow-bottom\" aria-hidden=\"true\"><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\n\t\t\t\t<div class=\"e-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1111\" class=\"e-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1111\" tabindex=\"0\" data-video-url=\"\" data-video-type=\"section\" data-video-title=\"Related Rates\" data-video-duration=\"\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1112\" class=\"e-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1112\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/Virtual-Lesson-ImplicitDifferentiation-RelateRates-Sphere.mp4\" data-video-type=\"hosted\" data-video-title=\"(01) Spherical Ballon\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1113\" class=\"e-tab-content elementor-clearfix\" data-tab=\"3\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1113\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/Virtual-Lesson-ImplicitDiff-RelateRates-Hotair-Balloon.mp4\" data-video-type=\"hosted\" data-video-title=\"*(02) Hot Air Ballon\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1114\" class=\"e-tab-content elementor-clearfix\" data-tab=\"4\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1114\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/Virtual-Lesson-ImplicitDiff-RelateRates-Conical-Tank.mp4\" data-video-type=\"hosted\" data-video-title=\"*(03) Conical Tank\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1115\" class=\"e-tab-content elementor-clearfix\" data-tab=\"5\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1115\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/Virtual-Lesson-ImplicitDiff-RelateRates-MovingLadder.mp4\" data-video-type=\"hosted\" data-video-title=\"*(04) Moving Ladder\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1116\" class=\"e-tab-content elementor-clearfix\" data-tab=\"6\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1116\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/Calculus\/Unit04\/RelatedRates\/Virtual-Lesson-ImplicitDiff-RelateRates-Baseball-Diamond.mp4\" data-video-type=\"hosted\" data-video-title=\"*(05) Baseball Diamond\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\n\t\t\t<div class=\"e-tabs-inner-tabs\" >\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4772c403 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4772c403\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1f3de4f6\" data-id=\"1f3de4f6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-27719b36 elementor-widget elementor-widget-spacer\" data-id=\"27719b36\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6697714 elementor-align-left elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"6697714\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/onlinemathtutor.co\/index.php\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Back To Main Page: Differentiation Problem Sets<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1ecf59ae elementor-widget elementor-widget-spacer\" data-id=\"1ecf59ae\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-101a619 elementor-section-height-min-height elementor-section-content-middle elementor-section-stretched elementor-section-boxed elementor-section-height-default elementor-section-items-middle elementor-invisible\" data-id=\"101a619\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;sticky&quot;:&quot;bottom&quot;,&quot;sticky_on&quot;:[&quot;desktop&quot;],&quot;stretch_section&quot;:&quot;section-stretched&quot;,&quot;animation&quot;:&quot;fadeInUp&quot;,&quot;sticky_offset&quot;:0,&quot;sticky_effects_offset&quot;:0,&quot;sticky_anchor_link_offset&quot;:0}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-dcd3a33\" data-id=\"dcd3a33\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;animation&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7427204 elementor-nav-menu__align-justify elementor-nav-menu--dropdown-mobile elementor-nav-menu--stretch elementor-nav-menu__text-align-aside elementor-nav-menu--toggle elementor-nav-menu--burger elementor-widget elementor-widget-nav-menu\" data-id=\"7427204\" data-element_type=\"widget\" data-settings=\"{&quot;full_width&quot;:&quot;stretch&quot;,&quot;motion_fx_motion_fx_scrolling&quot;:&quot;yes&quot;,&quot;sticky&quot;:&quot;bottom&quot;,&quot;submenu_icon&quot;:{&quot;value&quot;:&quot;&lt;i 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class=\"elementor-sub-item\">Fundamental Theorem of Calculus<\/a><\/li>\n\t<\/ul>\n<\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11530\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/integration-formulas-update\/\" class=\"elementor-sub-item\">Integration Formulas<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-9815\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/integration-techinques\/\" class=\"elementor-sub-item\">Integration Techinques<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-13700\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/integration-applications\/\" class=\"elementor-sub-item\">Integration Applications<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-19550\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/problem-set-integration\/\" class=\"elementor-sub-item\"><img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2022\/02\/Problem-Sets.png\"  width=\"20\" style=\"margin-right: 10px;\">  Problem Set<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-14330\"><a href=\"#\" class=\"elementor-item elementor-item-anchor\">Sequences and Series<\/a>\n<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11364\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/sequences\/\" class=\"elementor-sub-item\">Fundamentals<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-9804\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/sequences\/convergence-test\/\" class=\"elementor-sub-item\">Convergence Test<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-10233\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/sequences\/power-series\/\" class=\"elementor-sub-item\">Power Series<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11363\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/sequences\/taylor-series\/\" class=\"elementor-sub-item\">Taylor Series<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-21607\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/sequences\/problem-set-sequences-series\/\" class=\"elementor-sub-item\"><img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2022\/02\/Problem-Sets.png\"  width=\"20\" style=\"margin-right: 10px;\">  Problem Set<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-14331\"><a href=\"#\" class=\"elementor-item elementor-item-anchor\">Parametric Equations<\/a>\n<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-12174\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/parametric-equations-2\/fundamentals-of-parametric-equations\/\" class=\"elementor-sub-item\">Fundamentals<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-19376\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/parametric-equations-2\/polar-coordinates-calculus\/\" class=\"elementor-sub-item\">Polar Coordinates<\/a><\/li>\n\t<li 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tabindex=\"-1\">Fundamentals<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14279\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/limits\/limit-formulas\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Limit Formulas<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11442\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/limits\/continuity\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Continuity<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-11426\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/limits\/indeterminate-limits\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Indeterminate Forms<\/a>\n\t<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-12217\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/limits\/lhopitals-rule\/\" class=\"elementor-sub-item\" tabindex=\"-1\">L\u2019H\u00f4pital\u2019s Rule<\/a><\/li>\n\t<\/ul>\n<\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-12629\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/limits\/virtual-lessons-limits\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Virtual Lessons<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-14327\"><a href=\"#\" class=\"elementor-item elementor-item-anchor\" tabindex=\"-1\">Differentiation<\/a>\n<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14856\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/fundamentals-differentiation\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Fundamentals<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11537\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/differentiation-formulas-update\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Differentiation Formulas<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11409\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/differentiation-techniques\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Differentiation Techniques<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-11411\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/differentiation-applications\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Differentiation Applications<\/a>\n\t<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-15049\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/limits\/lhopitals-rule\/\" class=\"elementor-sub-item\" tabindex=\"-1\">L\u2019H\u00f4pital\u2019s Rule<\/a><\/li>\n\t\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-10229\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/differentiation-applications\/curve-analysis\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Curve Analysis<\/a><\/li>\n\t\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11435\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/differentiation-applications\/related-rates\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Related Rates<\/a><\/li>\n\t<\/ul>\n<\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20868\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/\" class=\"elementor-sub-item\" tabindex=\"-1\"><img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2022\/02\/Problem-Sets.png\"  width=\"20\" style=\"margin-right: 10px;\">  Problem Set<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-14329\"><a href=\"#\" class=\"elementor-item elementor-item-anchor\" tabindex=\"-1\">Integration<\/a>\n<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-14551\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/fundamentals-integration\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Fundamentals<\/a>\n\t<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-10226\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/riemann-sums\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Riemann Sums<\/a><\/li>\n\t\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11365\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/fundamental-theorem-of-calculus\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Fundamental Theorem of Calculus<\/a><\/li>\n\t<\/ul>\n<\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11530\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/integration-formulas-update\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Integration Formulas<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-9815\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/integration-techinques\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Integration Techinques<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-13700\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/integration-applications\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Integration Applications<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-19550\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/integration\/problem-set-integration\/\" class=\"elementor-sub-item\" tabindex=\"-1\"><img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2022\/02\/Problem-Sets.png\"  width=\"20\" style=\"margin-right: 10px;\">  Problem Set<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-14330\"><a href=\"#\" class=\"elementor-item elementor-item-anchor\" tabindex=\"-1\">Sequences and Series<\/a>\n<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-11364\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/sequences\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Fundamentals<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-9804\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/sequences\/convergence-test\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Convergence Test<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-10233\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/sequences\/power-series\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Power 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href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/parametric-equations-2\/calculus-parametric-equation\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Calculus of Parametric Equations<\/a><\/li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-21606\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/parametric-equations-2\/problem-set-parametric-eqs-2\/\" class=\"elementor-sub-item\" tabindex=\"-1\"><img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2022\/02\/Problem-Sets.png\"  width=\"20\" style=\"margin-right: 10px;\">  Problem Set<\/a>\n\t<ul class=\"sub-menu elementor-nav-menu--dropdown\">\n\t\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-12615\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/parametric-equations-2\/virtual-lessons-parametric-equations\/\" class=\"elementor-sub-item\" tabindex=\"-1\">Virtual Lessons<\/a><\/li>\n\t<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-10232\"><a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/ap-calculus-frqs\/\" class=\"elementor-item\" tabindex=\"-1\">AP Calculus Prep<\/a><\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-435d49d\" data-id=\"435d49d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9ad3995 elementor-widget elementor-widget-spacer\" data-id=\"9ad3995\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Virtual Lessons: Related Rates Related rates are an application of implicit differential whose variable of differentiation is typically in terms of time . These problems, as the name suggests, relate various rates by analyzing differentials.\u00a0 To solve these problems, Construct <a href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/virtual-lessons-differentiation-related-rates\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":20849,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"footnotes":""},"class_list":["post-20956","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Virtual Lessons \u2013 Differentiation \u2013 Related Rates | Online Math Tutoring LLC | Expert Math Tutor Near Me<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/onlinemathtutor.co\/course-content\/calculus-resources\/differentiation\/problem-set-differentiation\/virtual-lessons-differentiation-related-rates\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Virtual Lessons \u2013 Differentiation \u2013 Related Rates | Online Math Tutoring LLC | Expert Math Tutor Near Me\" \/>\n<meta property=\"og:description\" content=\"Virtual Lessons: Related Rates Related rates are an application of implicit differential whose variable of differentiation is typically in terms of time . 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