{"id":382,"date":"2023-07-03T05:06:38","date_gmt":"2023-07-03T05:06:38","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%8f%8d%e6%ad%a3%e5%89%b2%e6%bc%82%e7%a7%bb\/"},"modified":"2023-07-03T05:06:38","modified_gmt":"2023-07-03T05:06:38","slug":"%e5%8f%8d%e6%ad%a3%e5%89%b2%e6%bc%82%e7%a7%bb","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%8f%8d%e6%ad%a3%e5%89%b2%e6%bc%82%e7%a7%bb\/","title":{"rendered":"\u53cd\u6b63\u5272\u5bfc\u6570"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u770b\u5230\u53cd\u6b63\u5272\uff08\u516c\u5f0f\uff09\u7684\u5bfc\u6570\u662f\u4ec0\u4e48\u3002\u60a8\u5c06\u627e\u5230\u51fd\u6570\u53cd\u6b63\u5207\u5bfc\u6570\u7684\u5df2\u89e3\u51b3\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-del-arcosecante\"><\/span>\u53cd\u6b63\u5272\u5bfc\u6570\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>x \u53cd\u6b63\u5272\u7684\u5bfc\u6570\u662f x \u4e58\u4ee5 x \u5e73\u65b9\u6839\u51cf 1 \u7684\u4e58\u79ef 1\u3002<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c711ae2ad7e63c11dadabe5b1fa34460_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x\\cdot \\sqrt{x^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"439\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u51fd\u6570\u53cd\u6b63\u5272\u7684\u5bfc\u6570<\/strong>\u7b49\u4e8e\u8be5\u51fd\u6570\u7684\u5bfc\u6570\u9664\u4ee5\u8be5\u51fd\u6570\u7684\u5546\u4e58\u4ee5\u8be5\u51fd\u6570\u7684\u5e73\u65b9\u6839\u51cf\u4e00\u3002<\/p>\n<p class=\"has-text-align-center\"><meta charset=\"utf-8\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8101c1f6c91528fc3a8c0a3c35509c2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\sqrt{u^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"439\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u663e\u7136\uff0c\u7b2c\u4e8c\u4e2a\u516c\u5f0f\u4e0e\u7b2c\u4e00\u4e2a\u516c\u5f0f\u7c7b\u4f3c\uff0c\u4e24\u8005\u4e4b\u95f4\u552f\u4e00\u7684\u533a\u522b\u662f\u7b2c\u4e8c\u4e2a\u516c\u5f0f\u4e2d\u5e94\u7528\u4e86\u94fe\u5f0f\u6cd5\u5219\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/derive-darcosecant.webp\" alt=\"\u53cd\u6b63\u5272\u7684\u5bfc\u6570\" class=\"wp-image-2718\" width=\"411\" height=\"292\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5c3d\u7ba1\u8fd9\u770b\u8d77\u6765\u5f88\u5947\u602a\uff0c\u56e0\u4e3a\u5b83\u4eec\u662f\u53cd\u51fd\u6570\uff0c\u4f46\u53cd\u6b63\u5272\u7684\u5bfc\u6570\u4e0e\u6b63\u5272\u7684\u5bfc\u6570\u65e0\u5173\u3002\u60a8\u53ef\u4ee5\u70b9\u51fb\u6b64\u5904\u67e5\u770b\u6b63\u5272\u5bfc\u6570\u7684\u516c\u5f0f\uff1a<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u5272\u7ebf\u7684\u5bfc\u6570\/\">\u5272\u7ebf\u7684\u5bfc\u6570<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-arcosecante\"><\/span>\u53cd\u6b63\u5272\u5bfc\u6570\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" id=\"block-46cfc7df-b680-41c2-ad53-bd8a19834b32\">\u5b9e\u65bd\u4f8b1<\/h3>\n<p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u5c06\u770b\u5230\u7ebf\u6027\u51fd\u6570 7x \u7684\u53cd\u6b63\u5207\u503c\u7684\u5bfc\u6570\u662f\u591a\u5c11\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9191ef645841e7a1f497896df1a8b14e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-2a112ce1-0dbe-43d5-95b3-4d8506c1a246\">\u8981\u6c42\u53cd\u6b63\u5272\u7684\u5bfc\u6570\uff0c\u60a8\u5fc5\u987b\u5e94\u7528\u5176\u76f8\u5e94\u7684\u516c\u5f0f\uff0c\u5982\u4e0b\u6240\u793a\uff1a <\/p>\n<p class=\"has-text-align-center\" id=\"block-f73c7b5e-fb98-43c1-a3bb-52c9144eee8a\"><meta charset=\"utf-8\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8101c1f6c91528fc3a8c0a3c35509c2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\sqrt{u^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"439\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p id=\"block-a4fe1876-f662-49c1-8d09-6a6c4b5528dd\"> 7x \u51fd\u6570\u7684\u5bfc\u6570\u4e3a 7\uff0c\u56e0\u6b64 7x \u51fd\u6570\u7684\u53cd\u6b63\u5207\u503c\u7684\u5bfc\u6570\u4e3a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-095e6d51d8dc9dd49fa9cefb1c115ea3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(7x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{7}{7x\\cdot \\sqrt{(7x)^2-1}}=\\cfrac{1}{x\\cdot \\sqrt{49x^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"93\" width=\"582\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" id=\"block-1446420a-0d61-44d3-9e31-8c5935a432a7\">\u5b9e\u65bd\u4f8b2<\/h3>\n<p>\u5728\u7b2c\u4e8c\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u5c06\u5bfc\u51fa\u52bf\u51fd\u6570\u7684\u53cd\u6b63\u5272\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-109aa2df6a4b0a2d174e98c663b78dca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(x^4-5x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-0514a2ea-d85a-4b25-a7db-9c27533e7436\">\u7531\u4e8e\u53cd\u6b63\u5272\u51fd\u6570\u7684\u53c2\u6570\u4e2d\u5b58\u5728 x \u4ee5\u5916\u7684\u9879\uff0c\u56e0\u6b64\u6211\u4eec\u9700\u8981\u5e94\u7528\u53cd\u6b63\u5272\u5bfc\u6570\u89c4\u5219\u548c\u94fe\u5f0f\u6cd5\u5219\u6765\u63a8\u5bfc\u6574\u4e2a\u51fd\u6570\u3002 <\/p>\n<p class=\"has-text-align-center\" id=\"block-86fe6911-58a5-4f15-be8f-9e340c0a1401\"><meta charset=\"utf-8\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8101c1f6c91528fc3a8c0a3c35509c2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\sqrt{u^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"439\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p id=\"block-6abf3c5a-c400-48c6-8375-c05fcb255b20\">\u56e0\u6b64\uff0c\u5728\u5206\u5b50\u4e2d\u6211\u4eec\u5199\u4e0b\u51fd\u6570\u81ea\u53d8\u91cf\u7684\u5bfc\u6570\uff0c\u5728\u5206\u6bcd\u4e2d\u6211\u4eec\u91cd\u5199\u52bf\u51fd\u6570\u5e76\u5c06\u5176\u4e58\u4ee5\u81ea\u53d8\u91cf\u51fd\u6570\u7684 2 \u51cf 1 \u6b21\u65b9\u7684\u5e73\u65b9\u6839\uff1a <\/p>\n<p class=\"has-text-align-center\" id=\"block-99708268-e595-48a1-8a30-244af13d52f2\"><meta charset=\"utf-8\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-13a238ac3f7cb034fec6d5ae6b5b3826_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(x^4-5x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{4x^3-10x}{(x^4-5x^2)\\cdot \\sqrt{\\left(x^4-5x^2\\right)^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"80\" width=\"582\" style=\"vertical-align: -30px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u770b\u5230\u53cd\u6b63\u5272\uff08\u516c\u5f0f\uff09\u7684\u5bfc\u6570\u662f\u4ec0\u4e48\u3002\u60a8\u5c06\u627e\u5230\u51fd\u6570\u53cd\u6b63\u5207\u5bfc\u6570\u7684\u5df2\u89e3\u51b3\u7ec3\u4e60\u3002 \u53cd\u6b63\u5272\u5bfc\u6570\u516c\u5f0f x \u53cd\u6b63 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%8f%8d%e6%ad%a3%e5%89%b2%e6%bc%82%e7%a7%bb\/\"> <span class=\"screen-reader-text\">\u53cd\u6b63\u5272\u5bfc\u6570<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","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":"","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":"","footnotes":""},"categories":[6],"tags":[],"class_list":["post-382","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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