{"id":33,"date":"2023-09-17T11:02:01","date_gmt":"2023-09-17T11:02:01","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/"},"modified":"2023-09-17T11:02:01","modified_gmt":"2023-09-17T11:02:01","slug":"%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/","title":{"rendered":"\u7531\u603b\u548c\u5f97\u51fa"},"content":{"rendered":"<p>\u8fd9\u91cc\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u548c\uff08\u516c\u5f0f\uff09\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u548c\u7684\u5bfc\u6570\u7684\u793a\u4f8b\uff0c\u751a\u81f3\u53ef\u4ee5\u901a\u8fc7\u89e3\u51b3\u548c\u7684\u5bfc\u6570\u7684\u7ec3\u4e60\u6765\u8fdb\u884c\u7ec3\u4e60\u3002\u6700\u540e\uff0c\u60a8\u5c06\u627e\u5230\u6c42\u548c\u5bfc\u6570\u516c\u5f0f\u7684\u6f14\u793a\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-una-suma\"><\/span>\u603b\u548c\u7684\u5bfc\u6570\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4e24\u4e2a\u51fd\u6570\u4e4b\u548c\u7684\u5bfc\u6570\u7b49\u4e8e\u6bcf\u4e2a\u51fd\u6570\u5404\u81ea\u7684\u5bfc\u6570\u4e4b\u548c\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-cec257ea65c3d37da6460f8f1ab6bb1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f(x)+g(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} z'(x)=f'(x)+g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"463\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6362\u53e5\u8bdd\u8bf4\uff0c\u5206\u522b\u5bf9\u4e24\u4e2a\u51fd\u6570\u6c42\u5bfc\u7136\u540e\u5c06\u5b83\u4eec\u76f8\u52a0\uff0c\u76f8\u5f53\u4e8e\u5148\u5c06\u51fd\u6570\u76f8\u52a0\u7136\u540e\u6c42\u5bfc\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/derivee-dune-somme.webp\" alt=\"\u7531\u603b\u548c\u5f97\u51fa\" class=\"wp-image-2035\" width=\"243\" height=\"243\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u8bf7\u6ce8\u610f\uff0c\u52a0\u6cd5\u7684\u5bfc\u6570\u89c4\u5219\u4e5f\u9002\u7528\u4e8e\u51cf\u6cd5\uff0c\u56e0\u6b64\u5982\u679c\u51fd\u6570\u524d\u9762\u6709\u8d1f\u53f7\u800c\u4e0d\u662f\u6b63\u53f7\uff0c\u6211\u4eec\u4e5f\u5fc5\u987b\u4f7f\u7528\u76f8\u540c\u7684\u516c\u5f0f\u5bf9\u5176\u8fdb\u884c\u5fae\u5206\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-6a93098fe108be6019d44ba2d0f82108_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f(x)\\pm g(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} z'(x)=f'(x)\\pm g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"463\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u53e6\u5916\uff0c\u52a0\u6cd5\u662f\u4e00\u79cd\u5177\u6709\u7ed3\u5408\u6027\u8d28\u7684\u8fd0\u7b97\uff0c\u8fd9\u610f\u5473\u7740\u52a0\u6cd5\u4e2d\u6d89\u53ca\u7684\u52a0\u6cd5\u6b21\u6570\u662f\u65e0\u5173\u7d27\u8981\u7684\uff0c\u56e0\u4e3a\u6574\u4e2a\u51fd\u6570\u7684\u5bfc\u6570\u5c06\u7ee7\u7eed\u662f\u6bcf\u4e2a\u51fd\u6570\u7684\u5bfc\u6570\u7684\u52a0\u6cd5\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-05ceda7dfbdbac4960b012f62d17c8a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}z(x)=f(x)\\pm g(x) \\pm h(x)\\pm \\dots\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex]z'(x)=f'(x)\\pm g'(x)\\pm h'(x)\\pm \\dots\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"261\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-una-suma\"><\/span>\u548c\u7684\u5bfc\u6570\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u548c\u7684\u5bfc\u6570\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u6211\u4eec\u5c06\u770b\u5230\u6b64\u7c7b\u8fd0\u7b97\u7684\u51e0\u4e2a\u5bfc\u6570\u793a\u4f8b\uff0c\u4ee5\u5145\u5206\u7406\u89e3\u51fd\u6570\u7684\u548c\u662f\u5982\u4f55\u5bfc\u51fa\u7684\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-de-una-suma-de-funciones-potenciales\"><\/span>\u793a\u4f8b 1\uff1a\u52bf\u51fd\u6570\u4e4b\u548c\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-efca27bad0818b86e6e42ee15a31ed6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3x^2+5x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"125\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e24\u4e2a\u51fd\u6570\u4e4b\u548c\u7684\u5bfc\u6570\u7b49\u4e8e\u6bcf\u4e2a\u51fd\u6570\u5355\u72ec\u7684\u5bfc\u6570\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9996\u5148\u5206\u522b\u8ba1\u7b97\u6bcf\u4e2a\u51fd\u6570\u7684\u5bfc\u6570\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-69\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5e625836da38ce78d816c887fd842fff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx} \\ 3x^2=6x\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"95\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f575779fe1f9c29e907e67f622cb5411_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ 5x=5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"76\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u6574\u4e2a\u51fd\u6570\u7684\u5bfc\u6570\u5c06\u662f\u4e24\u4e2a\u8ba1\u7b97\u5bfc\u6570\u7684\u603b\u548c\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-8a8dcfca37df757df3fd79292ead67b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=6x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"111\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-de-una-suma-de-funciones-diferentes\"><\/span>\u793a\u4f8b 2\uff1a\u4e0d\u540c\u51fd\u6570\u4e4b\u548c\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c94ae34a2f2fe6741b9233bde69c420_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x)+\\ln(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"166\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u5bf9\u51fd\u6570\u4e4b\u548c\u6c42\u5bfc\uff0c\u5fc5\u987b\u5206\u522b\u5bf9\u4e24\u4e2a\u51fd\u6570\u6c42\u5bfc\uff0c\u7136\u540e\u5c06\u5b83\u4eec\u76f8\u52a0\u3002\u56e0\u6b64\u6211\u4eec\u63a8\u5bfc\u51fa\u51fd\u6570\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-72\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1fd0d9e783b091d26fe14a6f9523801_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx} \\ \\text{sen}(x)=\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"144\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-630f2b7757bfc7fbc7fe540313c526b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ \\ln (x)=\\cfrac{1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"103\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u7136\u540e\u6211\u4eec\u5c06\u627e\u5230\u7684\u4e24\u4e2a\u5bfc\u6570\u76f8\u52a0\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-d74c893fd6ae38b019a934d75b39b921_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\text{cos}(x)+\\cfrac{1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"145\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-de-una-suma-al-cuadrado\"><\/span>\u793a\u4f8b 3\uff1a\u5e73\u65b9\u548c\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fc55182666ca330acaf33748f94e1b06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\left(3x^4+7x^2+1\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"187\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u6709\u4e00\u4e2a\u590d\u5408\u51fd\u6570\uff0c\u56e0\u4e3a\u6211\u4eec\u6709\u51fd\u6570\u7684\u5e42\u603b\u548c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u5e94\u7528\u94fe\u5f0f\u6cd5\u5219\u6765\u63a8\u5bfc\u6574\u4e2a\u51fd\u6570\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-3d5f04a22b460b05368b60eba4a74c4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2\\left(3x^4+7x^2+1\\right)\\cdot (12x^3+14x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"303\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u529f\u7387\u52bf\u51fd\u6570\u7684\u5bfc\u6570\/\">\u5bfc\u51fa\u5e42<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-derivadas-de-sumas-de-funciones\"><\/span>\u89e3\u51b3\u4e86\u51fd\u6570\u548c\u5bfc\u6570\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u63a8\u5bfc\u4ee5\u4e0b\u51fd\u6570\u4e4b\u548c<\/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-ae19a6909252c6385e64b78c67688db4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f(x)=6x^3+9x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/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-d7239b728b0ae9ef7f14e34910f71c8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f(x)=x^4+10x^3+5x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/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-d421d72da5a4af38dda14af4151fba4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f(x)=3x^2-4x+7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"182\" style=\"vertical-align: -5px;\"><\/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-2df5e88a0c25ffd19b52aa2c950a1c1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f(x)=\\text{cos}(x)+e^{3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"177\" style=\"vertical-align: -5px;\"><\/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-3f844607b5234ee8282802ef2ad19dac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f(x)=\\left(x^3+4x^2+6x\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"213\" style=\"vertical-align: -7px;\"><\/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-202ed150e3c26b6b56de412d7f8a5884_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f(x)=\\log_3(8x^2+2x)-x^7+e^{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"277\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5e6d4e0f405a797739dba71003c60ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f'(x)=18x^2+18x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/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-1069a5e43f43a569cfb3db5f8d9b7331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f'(x)=4x^3+30x^2+5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"202\" style=\"vertical-align: -5px;\"><\/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-93b4f2f1938846ce64f102e4964cbbef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f'(x)=6x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/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-190b6cc92e8c9a9119d0255247b7e14e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f'(x)=-\\text{sen}(x)+3e^{3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"205\" style=\"vertical-align: -5px;\"><\/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-fa0eabdbceafaf3e9b7535da9d1d520a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f'(x)=3\\left(x^3+4x^2+6x\\right)^2\\cdot (3x^2+8x+6)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"354\" style=\"vertical-align: -7px;\"><\/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-40fc02db80aa8a889f70ca9f25d295c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f'(x)=\\cfrac{16x+2}{(8x^2+2x)\\ln(3)}-7x^6+2x\\cdot e^{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"334\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-formula-de-la-derivada-de-una-suma\"><\/span>\u548c\u7684\u5bfc\u6570\u516c\u5f0f\u7684\u6f14\u793a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6700\u540e\u4e00\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u6f14\u793a\u51fd\u6570\u548c\u7684\u5bfc\u6570\u516c\u5f0f\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u6c42\u52a9\u4e8e\u5bfc\u6570\u7684\u6570\u5b66\u5b9a\u4e49\uff0c\u5982\u4e0b\u6240\u793a\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-dc1699622d128f888c1f20599aeccf60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{f(x+h)-f(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"219\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u7136\u540e\uff0c\u4ee4 z \u4e3a\u4e24\u4e2a\u4e0d\u540c\u51fd\u6570\u7684\u548c\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-4d2d91569fa3b33d834dead8ca02ff3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f(x)+g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"145\" style=\"vertical-align: -5px;\"><\/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-17f0dc216847872551637f676d1ff0b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{z(x+h)-z(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"215\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u7528 z \u4ee3\u66ff\u6781\u9650\u8868\u8fbe\u5f0f\u4e2d\u51fd\u6570\u7684\u548c\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-feab6b99cc6e3bfad015b988f16c5241_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{\\bigl[f(x+h)+g(x+h)\\bigr]-\\bigl[f(x)+g(x)\\bigr]}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"389\" style=\"vertical-align: -13px;\"><\/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-73d3c0e1781a7ec65721ab6aef3d840a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f(x+h)+g(x+h)-f(x)-g(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"359\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5c06\u5206\u6570\u8f6c\u6362\u4e3a\u4e24\u4e2a\u5206\u6570\u7684\u548c\uff0c\u6bcf\u4e2a\u5206\u6570\u5bf9\u5e94\u4e8e\u6bcf\u4e2a\u52a0\u6cd5\u51fd\u6570\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-e7b00aae0064e00a5e8a2f57e54fa339_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\left[\\frac{f(x+h)-f(x)}{h}+\\frac{g(x+h)-g(x)}{h}\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"379\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u7531\u4e8e\u6781\u9650\u7684\u6027\u8d28\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u524d\u9762\u7684\u8868\u8fbe\u5f0f\u5206\u6210\u4e24\u4e2a\u6781\u9650\uff0c\u56e0\u4e3a\u548c\u7684\u6781\u9650\u7b49\u4e8e\u6781\u9650\u7684\u548c\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-6c8091e8c717504ae86efff94b5d8e3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f(x+h)-f(x)}{h}+\\lim_{h \\to 0}\\frac{g(x+h)-g(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"394\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u5e76\u4e14\uff0c\u6b63\u5982\u6211\u4eec\u5728\u4e0a\u9762\u7684\u5bfc\u6570\u5b9a\u4e49\u4e2d\u6240\u770b\u5230\u7684\uff0c\u6bcf\u4e2a\u6781\u9650\u5bf9\u5e94\u4e8e\u51fd\u6570\u7684\u5bfc\u6570\u3002\u56e0\u6b64\uff0c\u5b9e\u73b0\u4e86\u4ee5\u4e0b\u7b49\u5f0f\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-cea8c29e93381736297a8f6aa46c83fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=f'(x)+g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fd9\u91cc\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u548c\uff08\u516c\u5f0f\uff09\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u548c\u7684\u5bfc\u6570\u7684\u793a\u4f8b\uff0c\u751a\u81f3\u53ef\u4ee5\u901a\u8fc7\u89e3\u51b3\u548c\u7684\u5bfc\u6570\u7684\u7ec3\u4e60\u6765\u8fdb\u884c\u7ec3\u4e60 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u7531\u603b\u548c\u5f97\u51fa<\/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-33","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u548c\u7684\u5bfc\u6570\uff08\u516c\u5f0f\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09<\/title>\n<meta name=\"description\" content=\"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u4e4b\u548c\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6c42\u548c\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u548c\u7684\u5bfc\u6570\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u548c\u7684\u5bfc\u6570\uff08\u516c\u5f0f\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09\" \/>\n<meta property=\"og:description\" content=\"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u4e4b\u548c\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6c42\u548c\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/cn\/\u548c\u7684\u5bfc\u6570\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T11:02:01+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cec257ea65c3d37da6460f8f1ab6bb1a_l3.png\" \/>\n<meta name=\"author\" content=\"Mathority\u56e2\u961f\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority\u56e2\u961f\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/\"},\"author\":{\"name\":\"Mathority\u56e2\u961f\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\"},\"headline\":\"\u7531\u603b\u548c\u5f97\u51fa\",\"datePublished\":\"2023-09-17T11:02:01+00:00\",\"dateModified\":\"2023-09-17T11:02:01+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/\"},\"wordCount\":2,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"articleSection\":[\"\u884d\u751f\u54c1\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/\",\"url\":\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/\",\"name\":\"\u25b7 \u548c\u7684\u5bfc\u6570\uff08\u516c\u5f0f\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/#website\"},\"datePublished\":\"2023-09-17T11:02:01+00:00\",\"dateModified\":\"2023-09-17T11:02:01+00:00\",\"description\":\"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u4e4b\u548c\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6c42\u548c\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u7531\u603b\u548c\u5f97\u51fa\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/cn\/#website\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"name\":\"Mathority\",\"description\":\"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/cn\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\",\"name\":\"Mathority\u56e2\u961f\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"Mathority\u56e2\u961f\"},\"sameAs\":[\"http:\/\/mathority.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 \u548c\u7684\u5bfc\u6570\uff08\u516c\u5f0f\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09","description":"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u4e4b\u548c\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6c42\u548c\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/cn\/\u548c\u7684\u5bfc\u6570\/","og_locale":"zh_CN","og_type":"article","og_title":"\u25b7 \u548c\u7684\u5bfc\u6570\uff08\u516c\u5f0f\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09","og_description":"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u4e4b\u548c\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6c42\u548c\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705","og_url":"https:\/\/mathority.org\/cn\/\u548c\u7684\u5bfc\u6570\/","article_published_time":"2023-09-17T11:02:01+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cec257ea65c3d37da6460f8f1ab6bb1a_l3.png"}],"author":"Mathority\u56e2\u961f","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Mathority\u56e2\u961f"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/"},"author":{"name":"Mathority\u56e2\u961f","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071"},"headline":"\u7531\u603b\u548c\u5f97\u51fa","datePublished":"2023-09-17T11:02:01+00:00","dateModified":"2023-09-17T11:02:01+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/"},"wordCount":2,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"articleSection":["\u884d\u751f\u54c1"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/","url":"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/","name":"\u25b7 \u548c\u7684\u5bfc\u6570\uff08\u516c\u5f0f\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/#website"},"datePublished":"2023-09-17T11:02:01+00:00","dateModified":"2023-09-17T11:02:01+00:00","description":"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u4e4b\u548c\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6c42\u548c\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705","breadcrumb":{"@id":"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/cn\/%e5%92%8c%e7%9a%84%e5%af%bc%e6%95%b0\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u7531\u603b\u548c\u5f97\u51fa"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/cn\/#website","url":"https:\/\/mathority.org\/cn\/","name":"Mathority","description":"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01","publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/mathority.org\/cn\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/cn\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071","name":"Mathority\u56e2\u961f","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"Mathority\u56e2\u961f"},"sameAs":["http:\/\/mathority.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/33","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/comments?post=33"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/33\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/media?parent=33"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/categories?post=33"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/tags?post=33"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}