{"id":156703,"date":"2023-09-01T14:25:19","date_gmt":"2023-09-01T08:55:19","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156703"},"modified":"2023-09-01T14:25:22","modified_gmt":"2023-09-01T08:55:22","slug":"the-directional-derivative-of-the-function-f-x-y-x2-y2-along-a-line-directed-from-00-to-11-evaluated-at-the-point-x-1-y-1-is","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-directional-derivative-of-the-function-f-x-y-x2-y2-along-a-line-directed-from-00-to-11-evaluated-at-the-point-x-1-y-1-is\/","title":{"rendered":"The directional derivative of the function f (x, y) =\u00a0x2\u00a0+\u00a0y2\u00a0along a line directed from (0,0) to (1,1), evaluated at the point x = 1, y = 1 is"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Q.<\/td><td colspan=\"4\">The directional derivative of the function <em>f <\/em>(<em>x<\/em>, <em>y<\/em>) =&nbsp;<em>x<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>y<\/em><sup>2<\/sup>&nbsp;along a line directed from (0,0) to (1,1), evaluated at the point <em>x = <\/em>1, <em>y = <\/em>1 is<\/td><\/tr><tr><td>&nbsp;<\/td><td><strong>&nbsp;<\/strong> (A) \u221a2<\/td><td>(B) 2<\/td><td><strong>&nbsp;<\/strong> (C) 2\u221a2<\/td><td><strong>&nbsp;<\/strong> (D) 4\u221a2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Ans: 2\u221a2<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"227\" height=\"195\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-693.png\" alt=\"\" class=\"wp-image-156704\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. The directional derivative of the function f (x, y) =&nbsp;x2&nbsp;+&nbsp;y2&nbsp;along a line directed from (0,0) to (1,1), evaluated at the point x = 1, y = 1 is &nbsp; &nbsp; (A) \u221a2 (B) 2 &nbsp; (C) 2\u221a2 &nbsp; (D) 4\u221a2 Ans: 2\u221a2 Sol:<\/p>\n","protected":false},"author":419,"featured_media":156705,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-156703","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156703","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=156703"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156703\/revisions"}],"predecessor-version":[{"id":156706,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156703\/revisions\/156706"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156705"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156703"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156703"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156703"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}