{"id":156828,"date":"2023-09-02T12:35:24","date_gmt":"2023-09-02T07:05:24","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156828"},"modified":"2023-09-02T12:35:32","modified_gmt":"2023-09-02T07:05:32","slug":"the-derivative-of-fx-cosx-can-be-estimated-using-the-approximation","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-derivative-of-fx-cosx-can-be-estimated-using-the-approximation\/","title":{"rendered":"The derivative of f(x) = cos(x) can be estimated using the approximation"},"content":{"rendered":"\n<p>Q. The derivative of <em>f<\/em>(<em>x<\/em>) = cos(<em>x<\/em>) can be estimated using the approximation<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-706.png\" alt=\"\" class=\"wp-image-156829\" style=\"width:480px;height:96px\" width=\"480\" height=\"96\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-706.png 749w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-706-300x60.png 300w\" sizes=\"(max-width: 480px) 100vw, 480px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>(A) &lt; 0.1 %<\/td><\/tr><tr><td>(B) &gt; 0.1 % and &lt; 1 %<\/td><\/tr><tr><td>(C) &gt; 1 % and &lt; 5 %<\/td><\/tr><tr><td>(D) &gt; 5 %<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Ans: > 0.1 % and &lt; 1 %<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"369\" height=\"127\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-707.png\" alt=\"\" class=\"wp-image-156830\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-707.png 369w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-707-300x103.png 300w\" sizes=\"(max-width: 369px) 100vw, 369px\" \/><\/figure>\n\n\n\n<p><img decoding=\"async\" src=\"data:image\/png;base64,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\" alt=\"\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. The derivative of f(x) = cos(x) can be estimated using the approximation (A) &lt; 0.1 % (B) &gt; 0.1 % and &lt; 1 % (C) &gt; 1 % and &lt; 5 % (D) &gt; 5 % Ans: > 0.1 % and &lt; 1 % Sol:<\/p>\n","protected":false},"author":419,"featured_media":156831,"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-156828","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\/156828","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=156828"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156828\/revisions"}],"predecessor-version":[{"id":156832,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156828\/revisions\/156832"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156831"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156828"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156828"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156828"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}