{"id":160670,"date":"2023-10-02T13:19:29","date_gmt":"2023-10-02T07:49:29","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=160670"},"modified":"2023-10-02T13:19:31","modified_gmt":"2023-10-02T07:49:31","slug":"the-value-of-the-directional-derivative-of-the-function-%f0%9d%9b%b7%f0%9d%91%a5-%f0%9d%91%a6-%f0%9d%91%a7-%f0%9d%91%a5%f0%9d%91%a62-%f0%9d%91%a6%f0%9d%91%a72-%f0%9d%91%a7%f0%9d%91%a52","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-value-of-the-directional-derivative-of-the-function-%f0%9d%9b%b7%f0%9d%91%a5-%f0%9d%91%a6-%f0%9d%91%a7-%f0%9d%91%a5%f0%9d%91%a62-%f0%9d%91%a6%f0%9d%91%a72-%f0%9d%91%a7%f0%9d%91%a52\/","title":{"rendered":"The value of the directional derivative of the function \ud835\udef7(\ud835\udc65, \ud835\udc66, \ud835\udc67) = \ud835\udc65\ud835\udc662 + \ud835\udc66\ud835\udc672 + \ud835\udc67\ud835\udc652"},"content":{"rendered":"\n<p>Q. The value of the directional derivative of the function \ud835\udef7(\ud835\udc65, \ud835\udc66, \ud835\udc67) = \ud835\udc65\ud835\udc66<sup>2<\/sup> + \ud835\udc66\ud835\udc67<sup>2<\/sup> + \ud835\udc67\ud835\udc65<sup>2<\/sup> at the point (2, -1, 1) in the direction of the vector \ud835\udc29 = \ud835\udc22 + 2\ud835\udc23 + 2\ud835\udc24 is<\/p>\n\n\n\n<p>(A) 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (B) 0.95\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (C) 0.93\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (D) 0.9<\/p>\n\n\n\n<p>Ans: 1<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"344\" height=\"332\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/Screenshot-999.png\" alt=\"\" class=\"wp-image-160671\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/Screenshot-999.png 344w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/Screenshot-999-300x290.png 300w\" sizes=\"(max-width: 344px) 100vw, 344px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. The value of the directional derivative of the function \ud835\udef7(\ud835\udc65, \ud835\udc66, \ud835\udc67) = \ud835\udc65\ud835\udc662 + \ud835\udc66\ud835\udc672 + \ud835\udc67\ud835\udc652 at the point (2, -1, 1) in the direction of the vector \ud835\udc29 = \ud835\udc22 + 2\ud835\udc23 + 2\ud835\udc24 is (A) 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (B) 0.95\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (C) 0.93\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (D) 0.9 Ans: 1 Sol:<\/p>\n","protected":false},"author":419,"featured_media":160672,"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 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