REGRA DA CADEIA DERIVADA











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=ZzcJmDCUp-c

Em cálculo, a regra da cadeia é uma fórmula para a derivada da função composta de duas funções. A partir desta observação, a regra da cadeia passou a permitir a diferenciação de funções diversas cujo argumento é outra função • Como fazer regra da cadeia? • A regra da cadeia nos diz como calcular a derivada de uma função composta. • DERIVADA DA FUNÇÃO COMPOSTA | REGRA DA CADEIA • Em cálculo, a regra da cadeia é uma fórmula para a derivada da função composta de duas funções. Desenvolvida por Gottfried Leibniz, a regra da cadeia teve grande importância para o avanço do cálculo diferencial. • Quando usar a regra da cadeia? • Geralmente, a única maneira de calcular a derivada de uma função composta é usando a regra da cadeia. Se não reconhecermos que uma função é composta e que a regra da cadeia deve ser aplicada, não seremos capazes de calcular a derivada corretamente. • Quais são as regras de derivação? • Regras de derivação • Regras de derivação. • i) Se f (x) = a, então f ' (x) = 0. • ii) Se f (x) = ax, então f ' (x) = a. • iii) (Regra do tombo) Se f (x) = xa, então f ' (x) = a·xa – 1. • iv) (Derivada da soma) [f (x) + g (x)]' = f ' (x) + g' (x). • v) [af (x)]' = a·f ' (x). • vi) (Regra do produto) [f (x) g (x)]' = f ' (x) g (x) + f (x) g' (x). • Como identificar uma função composta? • Função Composta • Uma função é uma regra que relaciona cada elemento de um conjunto, chamado domínio, a um único elemento de outro conjunto, chamado contradomínio. ... • Dadas as funções f: A → B e g: B → C, a função composta de g com f é a função h(x) = g(f(x)), que também pode ser representada como gof(x) – que é lida como “g bola f de x”. • --------------------------------------- • tags: REGRA DA CADEIA, regra da cadeia derivada, derivada regra da cadeia, regra da cadeia exercícios, regra da cadeia derivadas, exemplos regra da cadeia, exemplos regra da cadeia derivada, exercícios derivada regra da cadeia, derivada da função composta, derivada da função composta regra da cadeia, regra da cadeia explicação, regra da cadeia derivada exercícios, derivadas, derivada, cálculo, regra da cadeia me salva, derivada da função composta demonstração, regra da cadeia derivada, regra da cadeia exemplos, regra da cadeia integral, derivada função composta duas variáveis, derivada da função inversa, regra da cadeia exponencial, regra da cadeia seno","styleRuns":[{"startIndex":0,"length":2318,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":2318,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CNEBELsvGAIiEwjAz-2HvumLAxVI7kkHHa67B8A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1p6Y0ptRENVcC1jGAYyJSIRIgtaemNKbURDVXAtYzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CNEBELsvGAIiEwjAz-2HvumLAxVI7kkHHa67B8A=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CNABELovIhMIwM_th77piwMVSO5JBx2uuwfA"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"udXqS6WwXgE","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/udXqS6WwXgE/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLC23xtWdiz01AG3wSXe1MArWVhZrA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/udXqS6WwXgE/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDim2qkj6Xwa5n_w64-WkDRjy-Gzg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"DERIVADA DA FUNÇÃO LOGARÍTMICA by Prof. MURAKAMI - MATEMÁTICA RAPIDOLA 22,697 views 6 years ago 16 minutes"}},"simpleText":"DERIVADA DA FUNÇÃO LOGARÍTMICA"},"longBylineText":{"runs":[{"text":"Prof. MURAKAMI - MATEMÁTICA RAPIDOLA","navigationEndpoint":{"clickTrackingParams":"CMkBEKQwGAAiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Murakami.","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoKv7o7GFD188FcTbhsx15w","canonicalBaseUrl":"/@Murakami."}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"22,697 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"16 minutes, 39 seconds"}},"simpleText":"16:39"},"navigationEndpoint":{"clickTrackingParams":"CMkBEKQwGAAiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWRI58_ShIOzwptnmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=udXqS6WwXgE","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"udXqS6WwXgE","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=b9d5ea4ba5b05e01 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1183750 mt=1740852302 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Prof. MURAKAMI - MATEMÁTICA RAPIDOLA","navigationEndpoint":{"clickTrackingParams":"CMkBEKQwGAAiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Murakami.","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoKv7o7GFD188FcTbhsx15w","canonicalBaseUrl":"/@Murakami."}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/8X4l7ubXawuo-zuRqn9r8GtruvdK5Mc7BlVyOTQL6nWarl8qYcoRWltrd9JbBY5wz8gPL_F4Pw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CMkBEKQwGAAiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CMkBEKQwGAAiEwjAz-2HvumLAxVI7kkHHa67B8BAgbzBrbrJ-uq5AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"22K views"}},"simpleText":"22K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CM4BEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CM4BEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"udXqS6WwXgE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CM4BEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["udXqS6WwXgE"],"params":"CAQ%3D"}},"videoIds":["udXqS6WwXgE"]}},{"clickTrackingParams":"CM4BEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CM8BELlqIhMIwM_th77piwMVSO5JBx2uuwfA"}},"popupType":"TOAST"}}]}},"trackingParams":"CM4BEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CM0BENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","offlineVideoEndpoint":{"videoId":"udXqS6WwXgE","onAddCommand":{"clickTrackingParams":"CM0BENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","getDownloadActionCommand":{"videoId":"udXqS6WwXgE","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CM0BENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMkBEKQwGAAiEwjAz-2HvumLAxVI7kkHHa67B8A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt1ZFhxUzZXd1hnRQ%3D%3D","commands":[{"clickTrackingParams":"CMkBEKQwGAAiEwjAz-2HvumLAxVI7kkHHa67B8A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMwBEI5iIhMIwM_th77piwMVSO5JBx2uuwfA","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMkBEKQwGAAiEwjAz-2HvumLAxVI7kkHHa67B8A=","hasSeparator":true}}],"trackingParams":"CMkBEKQwGAAiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"16 minutes, 39 seconds"}},"simpleText":"16:39"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMsBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"udXqS6WwXgE","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMsBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"udXqS6WwXgE"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMsBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMoBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMoBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"udXqS6WwXgE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMoBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["udXqS6WwXgE"],"params":"CAQ%3D"}},"videoIds":["udXqS6WwXgE"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMoBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"DERIVADA DA FUNÇÃO LOGARÍTMICA - 16 minutes - Go to channel - Prof. MURAKAMI - MATEMÁTICA RAPIDOLA - 22K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/udXqS6WwXgE/mqdefault_6s.webp?du=3000 sqp=CObzjL4G rs=AOn4CLAxMIo_R4rHNzLMtGbvvAVpFiMQAw","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"qqr7gKeitBc","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/qqr7gKeitBc/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCgLKLc3vKFTJVFbyJWqQdXhuhzaQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/qqr7gKeitBc/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCfAg4ixuQOA4dKb-F30qpqqjxZ-g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"DERIVADA DA FUNÇÃO COMPOSTA | REGRA DA CADEIA by Prof. MURAKAMI - MATEMÁTICA RAPIDOLA 53,129 views 4 years ago 24 minutes"}},"simpleText":"DERIVADA DA FUNÇÃO COMPOSTA | REGRA DA CADEIA"},"longBylineText":{"runs":[{"text":"Prof. MURAKAMI - MATEMÁTICA RAPIDOLA","navigationEndpoint":{"clickTrackingParams":"CMIBEKQwGAEiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Murakami.","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoKv7o7GFD188FcTbhsx15w","canonicalBaseUrl":"/@Murakami."}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"53,129 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"24 minutes, 38 seconds"}},"simpleText":"24:38"},"navigationEndpoint":{"clickTrackingParams":"CMIBEKQwGAEiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWRI58_ShIOzwptnmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=qqr7gKeitBc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"qqr7gKeitBc","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=aaaafb80a7a2b417 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=985000 mt=1740852302 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Prof. MURAKAMI - MATEMÁTICA RAPIDOLA","navigationEndpoint":{"clickTrackingParams":"CMIBEKQwGAEiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Murakami.","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoKv7o7GFD188FcTbhsx15w","canonicalBaseUrl":"/@Murakami."}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/8X4l7ubXawuo-zuRqn9r8GtruvdK5Mc7BlVyOTQL6nWarl8qYcoRWltrd9JbBY5wz8gPL_F4Pw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CMIBEKQwGAEiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CMIBEKQwGAEiEwjAz-2HvumLAxVI7kkHHa67B8BAl-iKvYrwvtWqAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"53K views"}},"simpleText":"53K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMcBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMcBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"qqr7gKeitBc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMcBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["qqr7gKeitBc"],"params":"CAQ%3D"}},"videoIds":["qqr7gKeitBc"]}},{"clickTrackingParams":"CMcBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMgBELlqIhMIwM_th77piwMVSO5JBx2uuwfA"}},"popupType":"TOAST"}}]}},"trackingParams":"CMcBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMYBENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","offlineVideoEndpoint":{"videoId":"qqr7gKeitBc","onAddCommand":{"clickTrackingParams":"CMYBENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","getDownloadActionCommand":{"videoId":"qqr7gKeitBc","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMYBENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMIBEKQwGAEiEwjAz-2HvumLAxVI7kkHHa67B8A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtxcXI3Z0tlaXRCYw%3D%3D","commands":[{"clickTrackingParams":"CMIBEKQwGAEiEwjAz-2HvumLAxVI7kkHHa67B8A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMUBEI5iIhMIwM_th77piwMVSO5JBx2uuwfA","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMIBEKQwGAEiEwjAz-2HvumLAxVI7kkHHa67B8A=","hasSeparator":true}}],"trackingParams":"CMIBEKQwGAEiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"24 minutes, 38 seconds"}},"simpleText":"24:38"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMQBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"qqr7gKeitBc","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMQBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"qqr7gKeitBc"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMQBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMMBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMMBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"qqr7gKeitBc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMMBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["qqr7gKeitBc"],"params":"CAQ%3D"}},"videoIds":["qqr7gKeitBc"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMMBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"DERIVADA DA FUNÇÃO COMPOSTA | REGRA DA CADEIA - 24 minutes - Go to channel - Prof. MURAKAMI - MATEMÁTICA RAPIDOLA - 53K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/qqr7gKeitBc/mqdefault_6s.webp?du=3000 sqp=CObtjL4G rs=AOn4CLDbYRVY67Ab4Cdphab4Ue3y1UYZ0A","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"5feJKxLwb1U","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/5feJKxLwb1U/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCDoArKdz0Qo_ujobOxI4NxM2vnmQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/5feJKxLwb1U/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBZup-6YqeIiWa9RkMk0OxRn5QtXQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"REGRA DO PRODUTO | DERIVADA by Prof. MURAKAMI - MATEMÁTICA RAPIDOLA 25,672 views 6 years ago 13 minutes, 6 seconds"}},"simpleText":"REGRA DO PRODUTO | DERIVADA"},"longBylineText":{"runs":[{"text":"Prof. MURAKAMI - MATEMÁTICA RAPIDOLA","navigationEndpoint":{"clickTrackingParams":"CLsBEKQwGAIiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Murakami.","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoKv7o7GFD188FcTbhsx15w","canonicalBaseUrl":"/@Murakami."}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"25,672 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"13 minutes, 6 seconds"}},"simpleText":"13:06"},"navigationEndpoint":{"clickTrackingParams":"CLsBEKQwGAIiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWRI58_ShIOzwptnmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=5feJKxLwb1U","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"5feJKxLwb1U","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=e5f7892b12f06f55 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1183750 mt=1740852302 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Prof. MURAKAMI - MATEMÁTICA RAPIDOLA","navigationEndpoint":{"clickTrackingParams":"CLsBEKQwGAIiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Murakami.","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoKv7o7GFD188FcTbhsx15w","canonicalBaseUrl":"/@Murakami."}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/8X4l7ubXawuo-zuRqn9r8GtruvdK5Mc7BlVyOTQL6nWarl8qYcoRWltrd9JbBY5wz8gPL_F4Pw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CLsBEKQwGAIiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CLsBEKQwGAIiEwjAz-2HvumLAxVI7kkHHa67B8BA1d7Bl7Gl4vvlAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"25K views"}},"simpleText":"25K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMABEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMABEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"5feJKxLwb1U","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMABEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["5feJKxLwb1U"],"params":"CAQ%3D"}},"videoIds":["5feJKxLwb1U"]}},{"clickTrackingParams":"CMABEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMEBELlqIhMIwM_th77piwMVSO5JBx2uuwfA"}},"popupType":"TOAST"}}]}},"trackingParams":"CMABEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CL8BENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","offlineVideoEndpoint":{"videoId":"5feJKxLwb1U","onAddCommand":{"clickTrackingParams":"CL8BENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","getDownloadActionCommand":{"videoId":"5feJKxLwb1U","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CL8BENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLsBEKQwGAIiEwjAz-2HvumLAxVI7kkHHa67B8A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs1ZmVKS3hMd2IxVQ%3D%3D","commands":[{"clickTrackingParams":"CLsBEKQwGAIiEwjAz-2HvumLAxVI7kkHHa67B8A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CL4BEI5iIhMIwM_th77piwMVSO5JBx2uuwfA","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLsBEKQwGAIiEwjAz-2HvumLAxVI7kkHHa67B8A=","hasSeparator":true}}],"trackingParams":"CLsBEKQwGAIiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"13 minutes, 6 seconds"}},"simpleText":"13:06"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL0BEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"5feJKxLwb1U","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL0BEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"5feJKxLwb1U"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL0BEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLwBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLwBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"5feJKxLwb1U","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLwBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["5feJKxLwb1U"],"params":"CAQ%3D"}},"videoIds":["5feJKxLwb1U"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLwBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"REGRA DO PRODUTO | DERIVADA - 13 minutes, 6 seconds - Go to channel - Prof. MURAKAMI - MATEMÁTICA RAPIDOLA - 25K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/5feJKxLwb1U/mqdefault_6s.webp?du=3000 sqp=CMyZjb4G rs=AOn4CLAH3WKl53gWnzJaPDDQBuisuil16A","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"3GnZt2VGtvk","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/3GnZt2VGtvk/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB0bUBHx6WSnF2XxBgBtZRz5Vgabg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/3GnZt2VGtvk/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBLaw46WT9DrCI1ojmzyufWcAdAzg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"REGRA DA CADEIA | DERIVADA by Prof. MURAKAMI - MATEMÁTICA RAPIDOLA 12,737 views 2 years ago 35 minutes"}},"simpleText":"REGRA DA CADEIA | DERIVADA"},"longBylineText":{"runs":[{"text":"Prof. MURAKAMI - MATEMÁTICA RAPIDOLA","navigationEndpoint":{"clickTrackingParams":"CLQBEKQwGAMiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Murakami.","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoKv7o7GFD188FcTbhsx15w","canonicalBaseUrl":"/@Murakami."}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"12,737 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"35 minutes, 46 seconds"}},"simpleText":"35:46"},"navigationEndpoint":{"clickTrackingParams":"CLQBEKQwGAMiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWRI58_ShIOzwptnmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=3GnZt2VGtvk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"3GnZt2VGtvk","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=dc69d9b76546b6f9 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1325000 mt=1740852302 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Prof. MURAKAMI - MATEMÁTICA RAPIDOLA","navigationEndpoint":{"clickTrackingParams":"CLQBEKQwGAMiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Murakami.","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoKv7o7GFD188FcTbhsx15w","canonicalBaseUrl":"/@Murakami."}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/8X4l7ubXawuo-zuRqn9r8GtruvdK5Mc7BlVyOTQL6nWarl8qYcoRWltrd9JbBY5wz8gPL_F4Pw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CLQBEKQwGAMiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CLQBEKQwGAMiEwjAz-2HvumLAxVI7kkHHa67B8BA-e2aqva29rTcAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"12K views"}},"simpleText":"12K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLkBEP6YBBgGIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLkBEP6YBBgGIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"3GnZt2VGtvk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLkBEP6YBBgGIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["3GnZt2VGtvk"],"params":"CAQ%3D"}},"videoIds":["3GnZt2VGtvk"]}},{"clickTrackingParams":"CLkBEP6YBBgGIhMIwM_th77piwMVSO5JBx2uuwfA","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLoBELlqIhMIwM_th77piwMVSO5JBx2uuwfA"}},"popupType":"TOAST"}}]}},"trackingParams":"CLkBEP6YBBgGIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLgBENGqBRgHIhMIwM_th77piwMVSO5JBx2uuwfA","offlineVideoEndpoint":{"videoId":"3GnZt2VGtvk","onAddCommand":{"clickTrackingParams":"CLgBENGqBRgHIhMIwM_th77piwMVSO5JBx2uuwfA","getDownloadActionCommand":{"videoId":"3GnZt2VGtvk","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLgBENGqBRgHIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLQBEKQwGAMiEwjAz-2HvumLAxVI7kkHHa67B8A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgszR25adDJWR3R2aw%3D%3D","commands":[{"clickTrackingParams":"CLQBEKQwGAMiEwjAz-2HvumLAxVI7kkHHa67B8A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLcBEI5iIhMIwM_th77piwMVSO5JBx2uuwfA","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLQBEKQwGAMiEwjAz-2HvumLAxVI7kkHHa67B8A=","hasSeparator":true}}],"trackingParams":"CLQBEKQwGAMiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"35 minutes, 46 seconds"}},"simpleText":"35:46"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLYBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"3GnZt2VGtvk","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLYBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"3GnZt2VGtvk"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLYBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLUBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLUBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"3GnZt2VGtvk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLUBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["3GnZt2VGtvk"],"params":"CAQ%3D"}},"videoIds":["3GnZt2VGtvk"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLUBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"REGRA DA CADEIA | DERIVADA - 35 minutes - Go to channel - Prof. MURAKAMI - MATEMÁTICA RAPIDOLA - 12K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"WgHUHPlJETs","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/WgHUHPlJETs/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDzqHkuBKZ25fXZPXr8-waqfcYy_Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/WgHUHPlJETs/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLA8K5AyinW9i72fKkEiMHhX2BVwqA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Cálculo I - Aula 1 (1/3) - Panorama do Cálculo Diferencial e Integral by Canal USP 469,403 views 6 years ago 26 minutes"}},"simpleText":"Cálculo I - Aula 1 (1/3) - Panorama do Cálculo Diferencial e Integral"},"longBylineText":{"runs":[{"text":"Canal USP","navigationEndpoint":{"clickTrackingParams":"CK0BEKQwGAQiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@CanalUSP","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCN1ihdoKXeixzYi7Hyp4WwQ","canonicalBaseUrl":"/@CanalUSP"}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"469,403 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"26 minutes, 35 seconds"}},"simpleText":"26:35"},"navigationEndpoint":{"clickTrackingParams":"CK0BEKQwGAQiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWRI58_ShIOzwptnmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=WgHUHPlJETs","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"WgHUHPlJETs","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=5a01d41cf949113b ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1183750 mt=1740852302 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Canal USP","navigationEndpoint":{"clickTrackingParams":"CK0BEKQwGAQiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@CanalUSP","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCN1ihdoKXeixzYi7Hyp4WwQ","canonicalBaseUrl":"/@CanalUSP"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/gjJOvOKNC5En75BX9Z4mbaY_4LjudHwDYJUaKwXnL17wcia6LnvD33yjSJGax-TTn9vHylfSyr0=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CK0BEKQwGAQiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CK0BEKQwGAQiEwjAz-2HvumLAxVI7kkHHa67B8BAu6Kkys-D9YBa","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"469K views"}},"simpleText":"469K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLIBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLIBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WgHUHPlJETs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLIBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WgHUHPlJETs"],"params":"CAQ%3D"}},"videoIds":["WgHUHPlJETs"]}},{"clickTrackingParams":"CLIBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLMBELlqIhMIwM_th77piwMVSO5JBx2uuwfA"}},"popupType":"TOAST"}}]}},"trackingParams":"CLIBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLEBENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","offlineVideoEndpoint":{"videoId":"WgHUHPlJETs","onAddCommand":{"clickTrackingParams":"CLEBENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","getDownloadActionCommand":{"videoId":"WgHUHPlJETs","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLEBENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK0BEKQwGAQiEwjAz-2HvumLAxVI7kkHHa67B8A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtXZ0hVSFBsSkVUcw%3D%3D","commands":[{"clickTrackingParams":"CK0BEKQwGAQiEwjAz-2HvumLAxVI7kkHHa67B8A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLABEI5iIhMIwM_th77piwMVSO5JBx2uuwfA","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK0BEKQwGAQiEwjAz-2HvumLAxVI7kkHHa67B8A=","hasSeparator":true}}],"trackingParams":"CK0BEKQwGAQiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"26 minutes, 35 seconds"}},"simpleText":"26:35"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CK8BEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"WgHUHPlJETs","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CK8BEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"WgHUHPlJETs"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CK8BEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CK4BEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK4BEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WgHUHPlJETs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK4BEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WgHUHPlJETs"],"params":"CAQ%3D"}},"videoIds":["WgHUHPlJETs"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CK4BEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Cálculo I - Aula 1 (1/3) - Panorama do Cálculo Diferencial e Integral - 26 minutes - Go to channel - Canal USP - 469K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/WgHUHPlJETs/mqdefault_6s.webp?du=3000 sqp=CMuBjb4G rs=AOn4CLBgW9AdFZYgKnMMfoQZij9zcW8Ppw","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"RatzMhXADYs","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/RatzMhXADYs/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDq8KYaZ1xY1ZT5-tWqfQ9MhmoVqw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/RatzMhXADYs/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCdbhs7QJnPuxLMiC_O9iXJInDsOA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"بعد از 20 سال خریدمش! by Milad1st Game 146,479 views 2 days ago 20 minutes"}},"simpleText":"بعد از 20 سال خریدمش!"},"longBylineText":{"runs":[{"text":"Milad1st Game","navigationEndpoint":{"clickTrackingParams":"CKYBEKQwGAUiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Milad1stGame","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC7i0INhHhU1rguEiGi0Qi-w","canonicalBaseUrl":"/@Milad1stGame"}}}]},"publishedTimeText":{"simpleText":"2 days ago"},"viewCountText":{"simpleText":"146,479 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"20 minutes, 25 seconds"}},"simpleText":"20:25"},"navigationEndpoint":{"clickTrackingParams":"CKYBEKQwGAUiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWRI58_ShIOzwptnmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=RatzMhXADYs","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"RatzMhXADYs","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=45ab733215c00d8b ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1325000 mt=1740852302 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Milad1st Game","navigationEndpoint":{"clickTrackingParams":"CKYBEKQwGAUiEwjAz-2HvumLAxVI7kkHHa67B8AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Milad1stGame","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC7i0INhHhU1rguEiGi0Qi-w","canonicalBaseUrl":"/@Milad1stGame"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CKYBEKQwGAUiEwjAz-2HvumLAxVI7kkHHa67B8A="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/TcDxtqRwGvHRVtHbqvgGz8leeqeYrbPDRXsYY7VaNhqpEn34DPyGu_kgQ0ib1ZXYokV_HLL0=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKYBEKQwGAUiEwjAz-2HvumLAxVI7kkHHa67B8BAi5uArqHm3NVF","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"146K views"}},"simpleText":"146K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKsBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKsBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"RatzMhXADYs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKsBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["RatzMhXADYs"],"params":"CAQ%3D"}},"videoIds":["RatzMhXADYs"]}},{"clickTrackingParams":"CKsBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKwBELlqIhMIwM_th77piwMVSO5JBx2uuwfA"}},"popupType":"TOAST"}}]}},"trackingParams":"CKsBEP6YBBgHIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKoBENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","offlineVideoEndpoint":{"videoId":"RatzMhXADYs","onAddCommand":{"clickTrackingParams":"CKoBENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA","getDownloadActionCommand":{"videoId":"RatzMhXADYs","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKoBENGqBRgIIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKYBEKQwGAUiEwjAz-2HvumLAxVI7kkHHa67B8A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtSYXR6TWhYQURZcw%3D%3D","commands":[{"clickTrackingParams":"CKYBEKQwGAUiEwjAz-2HvumLAxVI7kkHHa67B8A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKkBEI5iIhMIwM_th77piwMVSO5JBx2uuwfA","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKYBEKQwGAUiEwjAz-2HvumLAxVI7kkHHa67B8A=","hasSeparator":true}}],"trackingParams":"CKYBEKQwGAUiEwjAz-2HvumLAxVI7kkHHa67B8A=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"20 minutes, 25 seconds"}},"simpleText":"20:25"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKgBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"RatzMhXADYs","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKgBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"RatzMhXADYs"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKgBEPnnAxgCIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKcBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKcBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"RatzMhXADYs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKcBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["RatzMhXADYs"],"params":"CAQ%3D"}},"videoIds":["RatzMhXADYs"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKcBEMfsBBgDIhMIwM_th77piwMVSO5JBx2uuwfA"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"بعد از 20 سال خریدمش! - 20 minutes - Go to channel - Milad1st Game - 146K views - 2 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/RatzMhXADYs/mqdefault_6s.webp?du=3000 sqp=CObfjL4G rs=AOn4CLAJ80hFWoq1myLNAitApQJEVahatg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/0HC7Nxpcans/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLCF9wWTZl3YMpzfrkANG8WHnoolfQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/0HC7Nxpcans/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBZEH_A7AkZTYccxpTIocaP-6Wugg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"COURSE"}}]},"text":"94 lessons","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3347476,"darkTheme":3347476}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":5841956,"darkTheme":5841956}}},"stackColor":{"lightTheme":10054507,"darkTheme":9664118}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"DERIVADA- CÁLCULO"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Prof. MURAKAMI - MATEMÁTICA RAPIDOLA

#############################









Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org