Lecture 08 DifferentiabilityII

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=regif6yP6pQ

Multivariable Calculus, Differentiability of multivariable function at a point, total derivatives; finding approximate value of a function","styleRuns":[{"startIndex":0,"length":139,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":139,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMkBELsvGAIiEwiQlr605vCJAxXjRnoFHWhtIKM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC3JlZ2lmNnlQNnBRGAYyJSIRIgtyZWdpZjZ5UDZwUTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMkBELsvGAIiEwiQlr605vCJAxXjRnoFHWhtIKM=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMgBELovIhMIkJa-tObwiQMV40Z6BR1obSCj"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"McT-UsFx1Es","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/McT-UsFx1Es/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDNvVKIODW9C2FB_E2XUGWprP12bg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/McT-UsFx1Es/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBrTSROil7RnDSomdiB4Pder-3E3A","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Lecture 09: Chain rule-I автор: Multivariable calculus - IITR 85 625 переглядів 6 років тому 40 хвилин"}},"simpleText":"Lecture 09: Chain rule-I"},"longBylineText":{"runs":[{"text":"Multivariable calculus - IITR","navigationEndpoint":{"clickTrackingParams":"CMEBEKQwGAAiEwiQlr605vCJAxXjRnoFHWhtIKMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@multivariablecalculus-iitr7924","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCMMt9zLt3UojrK2z52E5vng","canonicalBaseUrl":"/@multivariablecalculus-iitr7924"}}}]},"publishedTimeText":{"simpleText":"6 років тому"},"viewCountText":{"simpleText":"85 625 переглядів"},"lengthText":{"accessibility":{"accessibilityData":{"label":"40 хвилин і 58 секунд"}},"simpleText":"40:58"},"navigationEndpoint":{"clickTrackingParams":"CMEBEKQwGAAiEwiQlr605vCJAxXjRnoFHWhtIKMyB3JlbGF0ZWRIlNW_5PrPiPStAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=McT-UsFx1Es","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"McT-UsFx1Es","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-aigl6nz7.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=31c4fe52c171d44b ip=217.12.208.230 mt=1732306452 oweuc= pxtags=Cg4KAnR4Egg1MTMyNDg0Mw rxtags=Cg4KAnR4Egg1MTMyNDg0MQ%2CCg4KAnR4Egg1MTMyNDg0Mg%2CCg4KAnR4Egg1MTMyNDg0Mw"}}}}},"shortBylineText":{"runs":[{"text":"Multivariable calculus - IITR","navigationEndpoint":{"clickTrackingParams":"CMEBEKQwGAAiEwiQlr605vCJAxXjRnoFHWhtIKMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@multivariablecalculus-iitr7924","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCMMt9zLt3UojrK2z52E5vng","canonicalBaseUrl":"/@multivariablecalculus-iitr7924"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kfx_EyObK0h-pDr298m72V2INzQvlZc0aIGOAqrA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMEBEKQwGAAiEwiQlr605vCJAxXjRnoFHWhtIKNAy6jHi6zKv-Ix","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"85 тисяч переглядів"}},"simpleText":"85 тис. переглядів"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Додати в чергу"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMYBEP6YBBgGIhMIkJa-tObwiQMV40Z6BR1obSCj","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMYBEP6YBBgGIhMIkJa-tObwiQMV40Z6BR1obSCj","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"McT-UsFx1Es","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMYBEP6YBBgGIhMIkJa-tObwiQMV40Z6BR1obSCj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["McT-UsFx1Es"],"params":"CAQ%3D"}},"videoIds":["McT-UsFx1Es"]}},{"clickTrackingParams":"CMYBEP6YBBgGIhMIkJa-tObwiQMV40Z6BR1obSCj","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Додано до черги"},"trackingParams":"CMcBELlqIhMIkJa-tObwiQMV40Z6BR1obSCj"}},"popupType":"TOAST"}}]}},"trackingParams":"CMYBEP6YBBgGIhMIkJa-tObwiQMV40Z6BR1obSCj"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMUBENGqBRgHIhMIkJa-tObwiQMV40Z6BR1obSCj","offlineVideoEndpoint":{"videoId":"McT-UsFx1Es","onAddCommand":{"clickTrackingParams":"CMUBENGqBRgHIhMIkJa-tObwiQMV40Z6BR1obSCj","getDownloadActionCommand":{"videoId":"McT-UsFx1Es","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMUBENGqBRgHIhMIkJa-tObwiQMV40Z6BR1obSCj"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Поділитися"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMEBEKQwGAAiEwiQlr605vCJAxXjRnoFHWhtIKM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtNY1QtVXNGeDFFcw%3D%3D","commands":[{"clickTrackingParams":"CMEBEKQwGAAiEwiQlr605vCJAxXjRnoFHWhtIKM=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMQBEI5iIhMIkJa-tObwiQMV40Z6BR1obSCj","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMEBEKQwGAAiEwiQlr605vCJAxXjRnoFHWhtIKM=","hasSeparator":true}}],"trackingParams":"CMEBEKQwGAAiEwiQlr605vCJAxXjRnoFHWhtIKM=","accessibility":{"accessibilityData":{"label":"Меню дій"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"40 хвилин і 58 секунд"}},"simpleText":"40:58"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Переглянути пізніше","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CMMBEPnnAxgBIhMIkJa-tObwiQMV40Z6BR1obSCj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"McT-UsFx1Es","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMMBEPnnAxgBIhMIkJa-tObwiQMV40Z6BR1obSCj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"McT-UsFx1Es"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Переглянути пізніше"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CMMBEPnnAxgBIhMIkJa-tObwiQMV40Z6BR1obSCj"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Додати в чергу","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CMIBEMfsBBgCIhMIkJa-tObwiQMV40Z6BR1obSCj","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMIBEMfsBBgCIhMIkJa-tObwiQMV40Z6BR1obSCj","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"McT-UsFx1Es","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMIBEMfsBBgCIhMIkJa-tObwiQMV40Z6BR1obSCj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["McT-UsFx1Es"],"params":"CAQ%3D"}},"videoIds":["McT-UsFx1Es"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Додати в чергу"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CMIBEMfsBBgCIhMIkJa-tObwiQMV40Z6BR1obSCj"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Зараз відтворюється"}]}}}],"accessibility":{"accessibilityData":{"label":"Lecture 09: Chain rule-I – 40 хвилин – Перейти до каналу – Multivariable calculus - IITR - 85 тис. переглядів - 6 років тому – відтворити відео"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/McT-UsFx1Es/mqdefault_6s.webp?du=3000 sqp=CPyyg7oG rs=AOn4CLDvC3GgkndDNHnUC6BY5uvfjKqhYQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/XzaeYnZdK5o/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBtSMVYq6XIP0B4Ct8jvVUCFI_lZg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/XzaeYnZdK5o/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLAN-qot1SI3ITutIIdF1ycC6cMEzw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"40 відео","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":334886,"darkTheme":334886}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Відтворити все","styleRuns":[{"startIndex":0,"length":14}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":868953,"darkTheme":868953}}},"stackColor":{"lightTheme":7048089,"darkTheme":7768723}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Multivariable calculus"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Mathematics

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

New on site