youtor.org Youtor


Search Videos By URL

Fonctions convexes 12











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=ffyTqLmImy4

Voici une notion qui est utile pour obtenir plein d'inégalités sur les fonctions qui sont importantes dans plusieurs domaines, que ce soit pour l'intégration (j'en ai eu besoin pour la construction de l'intégrale) ou la géométrie (différentielle ou algébrique) et aussi pour résoudre un paquet d'exos posés au capes ou à l'agrèg ! donc voilà :-)","styleRuns":[{"startIndex":0,"length":345,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":345,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMUBELsvGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC2ZmeVRxTG1JbXk0GAYyJSIRIgtmZnlUcUxtSW15NDAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMUBELsvGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMQBELovIhMIu4LQh937iwMVTQRzCR1H5jjE"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"mO4jxjJ6IRU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/mO4jxjJ6IRU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDPi5-cwHILUeMcsOBNOeGjfaFROg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/mO4jxjJ6IRU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAmKfRD2ycp5qAESkQ9bqjv40AAcw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Fonctions Convexes 2/2 by Maths Adultes 14,386 views 5 years ago 41 minutes"}},"simpleText":"Fonctions Convexes 2/2"},"longBylineText":{"runs":[{"text":"Maths Adultes","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathsAdultes","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC9Vaxx3-gWuBxt38pao4XCQ","canonicalBaseUrl":"/@MathsAdultes"}}}]},"publishedTimeText":{"simpleText":"5 years ago"},"viewCountText":{"simpleText":"14,386 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"41 minutes, 54 seconds"}},"simpleText":"41:54"},"navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWRIrraizIv1pP59mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=mO4jxjJ6IRU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"mO4jxjJ6IRU","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=98ee23c6327a2115 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1206250 mt=1741479176 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDIzOQ rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA"}}}}},"shortBylineText":{"runs":[{"text":"Maths Adultes","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathsAdultes","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC9Vaxx3-gWuBxt38pao4XCQ","canonicalBaseUrl":"/@MathsAdultes"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_l2oySHRjL1U-PgFnBDrE9i7ZTQVbmt0V5iSTFlEYM7Mw=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":"CL0BEKQwGAAiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CL0BEKQwGAAiEwi7gtCH3fuLAxVNBHMJHUfmOMRAlcLok-P4iPeYAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"14K views"}},"simpleText":"14K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMIBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMIBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"mO4jxjJ6IRU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMIBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["mO4jxjJ6IRU"],"params":"CAQ%3D"}},"videoIds":["mO4jxjJ6IRU"]}},{"clickTrackingParams":"CMIBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMMBELlqIhMIu4LQh937iwMVTQRzCR1H5jjE"}},"popupType":"TOAST"}}]}},"trackingParams":"CMIBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMEBENGqBRgIIhMIu4LQh937iwMVTQRzCR1H5jjE","offlineVideoEndpoint":{"videoId":"mO4jxjJ6IRU","onAddCommand":{"clickTrackingParams":"CMEBENGqBRgIIhMIu4LQh937iwMVTQRzCR1H5jjE","getDownloadActionCommand":{"videoId":"mO4jxjJ6IRU","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMEBENGqBRgIIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgttTzRqeGpKNklSVQ%3D%3D","commands":[{"clickTrackingParams":"CL0BEKQwGAAiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMABEI5iIhMIu4LQh937iwMVTQRzCR1H5jjE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CL0BEKQwGAAiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","hasSeparator":true}}],"trackingParams":"CL0BEKQwGAAiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"41 minutes, 54 seconds"}},"simpleText":"41:54"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgCIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"mO4jxjJ6IRU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgCIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"mO4jxjJ6IRU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL8BEPnnAxgCIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEMfsBBgDIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL4BEMfsBBgDIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"mO4jxjJ6IRU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL4BEMfsBBgDIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["mO4jxjJ6IRU"],"params":"CAQ%3D"}},"videoIds":["mO4jxjJ6IRU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL4BEMfsBBgDIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Fonctions Convexes 2/2 - 41 minutes - Go to channel - Maths Adultes - 14K views - 5 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/mO4jxjJ6IRU/mqdefault_6s.webp?du=3000 sqp=CPa2s74G rs=AOn4CLC0N5KX_Fu8xnCtwExiHUNmbEGi3g","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"WKStcX5Hf1Y","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/WKStcX5Hf1Y/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgZShlMA8= rs=AOn4CLD35jwpBZIchR5XGsc61d0MPQMqDA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/WKStcX5Hf1Y/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLB5HmCVi85P1rAZvV4KfRV4IJvI2A","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"(103.7) Tribu Borélienne sur R by cos(0)=1 142 views 5 months ago 31 seconds"}},"simpleText":"(103.7) Tribu Borélienne sur R"},"longBylineText":{"runs":[{"text":"cos(0)=1","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@cos0egal1","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCa_WLEA4MCXjU8HnKp8LVhw","canonicalBaseUrl":"/@cos0egal1"}}}]},"publishedTimeText":{"simpleText":"5 months ago"},"viewCountText":{"simpleText":"142 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"31 seconds"}},"simpleText":"0:31"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWRIrraizIv1pP59mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=WKStcX5Hf1Y","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"WKStcX5Hf1Y","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=58a4ad717e477f56 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=987500 mt=1741479176 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDIzOQ rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA"}}}}},"shortBylineText":{"runs":[{"text":"cos(0)=1","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@cos0egal1","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCa_WLEA4MCXjU8HnKp8LVhw","canonicalBaseUrl":"/@cos0egal1"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ig3iw534G5fFh5MvviLI6Xz620CMsMLx7nK4elOQglGB0gjHupIJPu-IArX_iVg6s1M6qj4x=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAEiEwi7gtCH3fuLAxVNBHMJHUfmOMRA1v6d8peuq9JY","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"142 views"}},"simpleText":"142 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLsBEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WKStcX5Hf1Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WKStcX5Hf1Y"],"params":"CAQ%3D"}},"videoIds":["WKStcX5Hf1Y"]}},{"clickTrackingParams":"CLsBEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLwBELlqIhMIu4LQh937iwMVTQRzCR1H5jjE"}},"popupType":"TOAST"}}]}},"trackingParams":"CLsBEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLoBENGqBRgGIhMIu4LQh937iwMVTQRzCR1H5jjE","offlineVideoEndpoint":{"videoId":"WKStcX5Hf1Y","onAddCommand":{"clickTrackingParams":"CLoBENGqBRgGIhMIu4LQh937iwMVTQRzCR1H5jjE","getDownloadActionCommand":{"videoId":"WKStcX5Hf1Y","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLoBENGqBRgGIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtXS1N0Y1g1SGYxWQ%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAEiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMIu4LQh937iwMVTQRzCR1H5jjE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAEiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAEiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"31 seconds"}},"simpleText":"0:31"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"WKStcX5Hf1Y","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"WKStcX5Hf1Y"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEPnnAxgBIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WKStcX5Hf1Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WKStcX5Hf1Y"],"params":"CAQ%3D"}},"videoIds":["WKStcX5Hf1Y"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEMfsBBgCIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"(103.7) Tribu Borélienne sur R - 31 seconds - Go to channel - cos(0)=1 - 142 views - 5 months ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"JKjLh244ncI","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/JKjLh244ncI/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDOcU75eKNLdti04gncCxxM1gMeKA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/JKjLh244ncI/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLA4s5yfuBPbGQYrgpij54mdaJRojg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"ΠžΡΠ΅Ρ‡ΠΊΠΈΠ½. Π’Ρ€Π°ΠΌΠΏ Ρ€Π΅ΡˆΠΈΠ»ΡΡ: России ΠΊΠΎΠ½Π΅Ρ†! Π―Π΄Π΅Ρ€Π½Ρ‹ΠΉ Π·ΠΎΠ½Ρ‚ΠΈΠΊ ΠœΠ°ΠΊΡ€ΠΎΠ½Π° Π½Π°Π΄ Π£ΠΊΡ€Π°ΠΈΠ½ΠΎΠΉ. Бсора Π’Ρ€Π°ΠΌΠΏΠ° ΠΈ Маска by Π”ΠΌΠΈΡ‚Ρ€ΠΈΠΉ Π“ΠΎΡ€Π΄ΠΎΠ½ 357,824 views 9 hours ago 44 minutes"}},"simpleText":"ΠžΡΠ΅Ρ‡ΠΊΠΈΠ½. Π’Ρ€Π°ΠΌΠΏ Ρ€Π΅ΡˆΠΈΠ»ΡΡ: России ΠΊΠΎΠ½Π΅Ρ†! Π―Π΄Π΅Ρ€Π½Ρ‹ΠΉ Π·ΠΎΠ½Ρ‚ΠΈΠΊ ΠœΠ°ΠΊΡ€ΠΎΠ½Π° Π½Π°Π΄ Π£ΠΊΡ€Π°ΠΈΠ½ΠΎΠΉ. Бсора Π’Ρ€Π°ΠΌΠΏΠ° ΠΈ Маска"},"longBylineText":{"runs":[{"text":"Π”ΠΌΠΈΡ‚Ρ€ΠΈΠΉ Π“ΠΎΡ€Π΄ΠΎΠ½","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DmytriyGordon","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCZIFo5MmrUJS5JbLOxgnHuQ","canonicalBaseUrl":"/@DmytriyGordon"}}}]},"publishedTimeText":{"simpleText":"9 hours ago"},"viewCountText":{"simpleText":"357,824 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"44 minutes, 49 seconds"}},"simpleText":"44:49"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWRIrraizIv1pP59mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=JKjLh244ncI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"JKjLh244ncI","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=24a8cb876e389dc2 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=987500 mt=1741479176 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDIzOQ rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA"}}}}},"shortBylineText":{"runs":[{"text":"Π”ΠΌΠΈΡ‚Ρ€ΠΈΠΉ Π“ΠΎΡ€Π΄ΠΎΠ½","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DmytriyGordon","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCZIFo5MmrUJS5JbLOxgnHuQ","canonicalBaseUrl":"/@DmytriyGordon"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQ="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/EIfGamWGDUAi7iXfAVlNAu0I7sTrq8otowXBeRJIVWs-83WRLxB-ZqurSJ5UK5YumT7d11x3vaM=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":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMRAwrvi8fbwstQk","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"357K views"}},"simpleText":"357K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgIIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgIIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"JKjLh244ncI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgIIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JKjLh244ncI"],"params":"CAQ%3D"}},"videoIds":["JKjLh244ncI"]}},{"clickTrackingParams":"CLQBEP6YBBgIIhMIu4LQh937iwMVTQRzCR1H5jjE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMIu4LQh937iwMVTQRzCR1H5jjE"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgIIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLMBENGqBRgJIhMIu4LQh937iwMVTQRzCR1H5jjE","offlineVideoEndpoint":{"videoId":"JKjLh244ncI","onAddCommand":{"clickTrackingParams":"CLMBENGqBRgJIhMIu4LQh937iwMVTQRzCR1H5jjE","getDownloadActionCommand":{"videoId":"JKjLh244ncI","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLMBENGqBRgJIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtKS2pMaDI0NG5jSQ%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMIu4LQh937iwMVTQRzCR1H5jjE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAIiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"44 minutes, 49 seconds"}},"simpleText":"44:49"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgDIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"JKjLh244ncI","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgDIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"JKjLh244ncI"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgDIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgEIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgEIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"JKjLh244ncI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgEIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JKjLh244ncI"],"params":"CAQ%3D"}},"videoIds":["JKjLh244ncI"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgEIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"ΠžΡΠ΅Ρ‡ΠΊΠΈΠ½. Π’Ρ€Π°ΠΌΠΏ Ρ€Π΅ΡˆΠΈΠ»ΡΡ: России ΠΊΠΎΠ½Π΅Ρ†! Π―Π΄Π΅Ρ€Π½Ρ‹ΠΉ Π·ΠΎΠ½Ρ‚ΠΈΠΊ ΠœΠ°ΠΊΡ€ΠΎΠ½Π° Π½Π°Π΄ Π£ΠΊΡ€Π°ΠΈΠ½ΠΎΠΉ. Бсора Π’Ρ€Π°ΠΌΠΏΠ° ΠΈ Маска - 44 minutes - Go to channel - Π”ΠΌΠΈΡ‚Ρ€ΠΈΠΉ Π“ΠΎΡ€Π΄ΠΎΠ½ - 357K views - 9 hours ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/JKjLh244ncI/mqdefault_6s.webp?du=3000 sqp=COaCs74G rs=AOn4CLB4SNh2YpkTvkv4XmXC_TZBw5X4pA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"Hr66yGUQx6o","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Hr66yGUQx6o/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-BIAC4AOKAgwIABABGEUgTShyMA8= rs=AOn4CLB_cefCLTdbBTsMWxE-yJqv7VFqPg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Hr66yGUQx6o/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gSAAuADigIMCAAQARhFIE0ocjAP rs=AOn4CLAK9K4fcCaxJWK32Asow2vvNkDw-g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Fonctions convexes : introduction by M. Solnon - Maths 5,332 views 3 years ago 30 minutes"}},"simpleText":"Fonctions convexes : introduction"},"longBylineText":{"runs":[{"text":"M. Solnon - Maths","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@m.solnon-mathsmpsi1065","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCeBxQrZMG7z4-_GCik0OOsw","canonicalBaseUrl":"/@m.solnon-mathsmpsi1065"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"5,332 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"30 minutes, 33 seconds"}},"simpleText":"30:33"},"navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWRIrraizIv1pP59mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Hr66yGUQx6o","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Hr66yGUQx6o","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---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=1ebebac86510c7aa ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1206250 mt=1741479176 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDIzOQ rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA"}}}}},"shortBylineText":{"runs":[{"text":"M. Solnon - Maths","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@m.solnon-mathsmpsi1065","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCeBxQrZMG7z4-_GCik0OOsw","canonicalBaseUrl":"/@m.solnon-mathsmpsi1065"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_msCufB2Hp5GqMNPWY5clgTuBXs0QivBoBsEEbq3B3CQw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKgBEKQwGAMiEwi7gtCH3fuLAxVNBHMJHUfmOMRAqo_DqIbZrt8e","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"5.3K views"}},"simpleText":"5.3K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK0BEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Hr66yGUQx6o","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Hr66yGUQx6o"],"params":"CAQ%3D"}},"videoIds":["Hr66yGUQx6o"]}},{"clickTrackingParams":"CK0BEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK4BELlqIhMIu4LQh937iwMVTQRzCR1H5jjE"}},"popupType":"TOAST"}}]}},"trackingParams":"CK0BEP6YBBgFIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKwBENGqBRgGIhMIu4LQh937iwMVTQRzCR1H5jjE","offlineVideoEndpoint":{"videoId":"Hr66yGUQx6o","onAddCommand":{"clickTrackingParams":"CKwBENGqBRgGIhMIu4LQh937iwMVTQRzCR1H5jjE","getDownloadActionCommand":{"videoId":"Hr66yGUQx6o","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKwBENGqBRgGIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtIcjY2eUdVUXg2bw%3D%3D","commands":[{"clickTrackingParams":"CKgBEKQwGAMiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKsBEI5iIhMIu4LQh937iwMVTQRzCR1H5jjE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKgBEKQwGAMiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","hasSeparator":true}}],"trackingParams":"CKgBEKQwGAMiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"30 minutes, 33 seconds"}},"simpleText":"30:33"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Hr66yGUQx6o","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Hr66yGUQx6o"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEPnnAxgBIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEMfsBBgCIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEMfsBBgCIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Hr66yGUQx6o","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEMfsBBgCIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Hr66yGUQx6o"],"params":"CAQ%3D"}},"videoIds":["Hr66yGUQx6o"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKkBEMfsBBgCIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Fonctions convexes : introduction - 30 minutes - Go to channel - M. Solnon - Maths - 5.3K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"t24yRy3gocU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/t24yRy3gocU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCYyVErfKu8BDW6TvgvRdlOa1bzug","width":168,"height":94},{"url":"https://i.ytimg.com/vi/t24yRy3gocU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLA_K1Ad59lZxGgCPbYCy2nzAuIXXA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Integrate 1/(1+x^3) by Prime Newtons 197,592 views 3 months ago 24 minutes"}},"simpleText":"Integrate 1/(1+x^3)"},"longBylineText":{"runs":[{"text":"Prime Newtons","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAQiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PrimeNewtons","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCQ3jbVA0UCuBJfqTWxOb1aQ","canonicalBaseUrl":"/@PrimeNewtons"}}}]},"publishedTimeText":{"simpleText":"3 months ago"},"viewCountText":{"simpleText":"197,592 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"24 minutes, 56 seconds"}},"simpleText":"24:56"},"navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAQiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWRIrraizIv1pP59mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=t24yRy3gocU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"t24yRy3gocU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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=b76e32472de0a1c5 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1206250 mt=1741479176 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDIzOQ rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA"}}}}},"shortBylineText":{"runs":[{"text":"Prime Newtons","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAQiEwi7gtCH3fuLAxVNBHMJHUfmOMQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PrimeNewtons","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCQ3jbVA0UCuBJfqTWxOb1aQ","canonicalBaseUrl":"/@PrimeNewtons"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/wxfmE3GxAAG8F4wC1QF7V5Ob9xo4MXGGnn0V-c5WeVtVFe7RrCf68SCsQT8cMPhw6sgPYbmDiqs=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":"CKEBEKQwGAQiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CKEBEKQwGAQiEwi7gtCH3fuLAxVNBHMJHUfmOMRAxcOC7_LIjLe3AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"197K views"}},"simpleText":"197K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKYBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"t24yRy3gocU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["t24yRy3gocU"],"params":"CAQ%3D"}},"videoIds":["t24yRy3gocU"]}},{"clickTrackingParams":"CKYBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKcBELlqIhMIu4LQh937iwMVTQRzCR1H5jjE"}},"popupType":"TOAST"}}]}},"trackingParams":"CKYBEP6YBBgHIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKUBENGqBRgIIhMIu4LQh937iwMVTQRzCR1H5jjE","offlineVideoEndpoint":{"videoId":"t24yRy3gocU","onAddCommand":{"clickTrackingParams":"CKUBENGqBRgIIhMIu4LQh937iwMVTQRzCR1H5jjE","getDownloadActionCommand":{"videoId":"t24yRy3gocU","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKUBENGqBRgIIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKEBEKQwGAQiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt0MjR5UnkzZ29jVQ%3D%3D","commands":[{"clickTrackingParams":"CKEBEKQwGAQiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKQBEI5iIhMIu4LQh937iwMVTQRzCR1H5jjE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKEBEKQwGAQiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","hasSeparator":true}}],"trackingParams":"CKEBEKQwGAQiEwi7gtCH3fuLAxVNBHMJHUfmOMQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"24 minutes, 56 seconds"}},"simpleText":"24:56"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgCIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"t24yRy3gocU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgCIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"t24yRy3gocU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKMBEPnnAxgCIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKIBEMfsBBgDIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKIBEMfsBBgDIhMIu4LQh937iwMVTQRzCR1H5jjE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"t24yRy3gocU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKIBEMfsBBgDIhMIu4LQh937iwMVTQRzCR1H5jjE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["t24yRy3gocU"],"params":"CAQ%3D"}},"videoIds":["t24yRy3gocU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKIBEMfsBBgDIhMIu4LQh937iwMVTQRzCR1H5jjE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Integrate 1/(1+x^3) - 24 minutes - Go to channel - Prime Newtons - 197K views - 3 months ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/t24yRy3gocU/mqdefault_6s.webp?du=3000 sqp=CMKrs74G rs=AOn4CLBckqskowFK-qtc52yLyCRex9tCng","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/gge4xdn6cFA/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLAwX4p1jRJJ4U2LvvCA83ATTZm8pg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/gge4xdn6cFA/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLCaxLXg0U4XaAO11Gg5Xadbs4xsOQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"COURSE"}}]},"text":"12 lessons","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":1451547,"darkTheme":1451547}}}],"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":2441005,"darkTheme":2441005}}},"stackColor":{"lightTheme":7051641,"darkTheme":7375992}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Convexité - Tale Spé"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Yvan Monka

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









New on site
Content Report
Youtor.org / YTube video Downloader Β© 2025

created by www.youtor.org