{"id":371,"date":"2023-07-03T19:15:07","date_gmt":"2023-07-03T19:15:07","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/"},"modified":"2023-07-03T19:15:07","modified_gmt":"2023-07-03T19:15:07","slug":"%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/","title":{"rendered":"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u6307\u6570\u51fd\u6570\u3002\u60a8\u5c06\u627e\u5230\u6307\u6570\u5bfc\u6570\u7684\u516c\u5f0f\uff08\u4ee5 a \u548c e \u4e3a\u5e95\uff09\u4ee5\u53ca\u6307\u6570\u51fd\u6570\u5bfc\u6570\u7684\u5df2\u89e3\u7b54\u7ec3\u4e60\u3002<\/p>\n<p><strong>\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\u89c4\u5219\u53d6\u51b3\u4e8e\u5e42 \u7684\u5e95\u6570<\/strong>\uff0c\u56e0\u4e3a\u6839\u636e\u5e95\u6570\u662f\u4efb\u610f\u6570\u5b57 (a) \u8fd8\u662f\u6570\u5b57 e\uff0c\u51fd\u6570\u7684\u5bfc\u6570\u4f1a\u6709\u6240\u4e0d\u540c\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u5c06\u5728\u4e0b\u9762\u5206\u522b\u67e5\u770b\u6bcf\u79cd\u60c5\u51b5\uff0c\u7136\u540e\u603b\u7ed3\u8fd9\u4e24\u4e2a\u516c\u5f0f\u4ee5\u5145\u5206\u7406\u89e3\u5982\u4f55\u5bfc\u51fa\u6307\u6570\u51fd\u6570\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-de-la-funcion-exponencial-de-base-a\"><\/span>\u4ee5 a \u4e3a\u5e95\u7684\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4ee5 a \u4e3a\u5e95\u7684\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570<\/strong>\u7b49\u4e8e\u8be5\u51fd\u6570\u4e0e\u5e95\u6570\u7684\u81ea\u7136\u5bf9\u6570\u548c\u6307\u6570\u5bfc\u6570\u7684\u4e58\u79ef\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-9e08a04b92ffd23b3c62e687287db57e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=a^u\\cdot \\ln(a) \\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u6307\u6570\u51fd\u6570\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-eca1e7d1e4ab3de9246f94860ef319ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=5^{x^2+1} \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=5^{x^2+1}\\cdot \\ln(5) \\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"445\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-de-la-funcion-exponencial-de-base-e\"><\/span>\u4ee5 e \u4e3a\u5e95\u7684\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4ee5 e \u4e3a\u5e95\u7684\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570<\/strong>\u76f8\u5f53\u4e8e\u540c\u4e00\u51fd\u6570\u4e0e\u6307\u6570\u7684\u5bfc\u6570\u7684\u4e58\u79ef\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-de605bc131ee2baa1c99471c42466903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^u\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"340\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u6570\u5b57 e \u5347\u5230 4x \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-ea7ab035947d16b1bdb178d7626dbfbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{4x}\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^{4x} \\cdot 4=4e^{4x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"404\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-exponencial\"><\/span>\u6307\u6570\u5bfc\u6570\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u5982\u6211\u4eec\u6240\u770b\u5230\u7684\uff0c\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\u53d6\u51b3\u4e8e\u5b83\u7684\u57fa\u6570\u3002\u7528\u4e8e\u5bfc\u51fa\u6307\u6570\u51fd\u6570\u7684\u4e24\u4e2a\u516c\u5f0f\u662f\uff1a <\/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-exponentielle.webp\" alt=\"\u6307\u6570\u5bfc\u6570\" class=\"wp-image-1818\" width=\"374\" height=\"264\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-exponencial-de-e-a-la-x\"><\/span>\u4ece e \u5230 x \u7684\u6307\u6570\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u6307\u6570\u5bfc\u6570\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u6211\u4eec\u5c06\u5206\u6790 e \u5bf9 x \u6c42\u5bfc\u7684\u60c5\u51b5\uff0c\u56e0\u4e3a\u8fd9\u662f\u4e00\u4e2a\u5947\u602a\u7684\u60c5\u51b5\u3002<\/p>\n<p><strong>\u51fd\u6570 e \u5bf9 x \u7684\u5bfc\u6570\u603b\u662f\u5f97\u5230\u51fd\u6570\u672c\u8eab<\/strong>\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u65e0\u8bba\u6211\u4eec\u5bf9\u51fd\u6570 e <sup>x<\/sup>\u5fae\u5206\u591a\u5c11\u6b21\uff0c\u6211\u4eec\u603b\u662f\u4f1a\u5f97\u5230\u76f8\u540c\u7684\u51fd\u6570\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-8e988fea0397345c314c2ebc81b0ae37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c} f(x)=e^x \\\\[2ex] f'(x)=e^x\\\\[2ex] f''(x)=e^x\\\\[2ex] f'''(x)=e^x\\\\ \\vdots\\\\ f^n(x)=e^x\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"184\" width=\"86\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u51fd\u6570 e \u5bf9 x \u6c42\u5bfc\u7684\u8fd9\u4e00\u6027\u8d28\u662f\u7531\u4e8e x \u7684\u5bfc\u6570\u4e3a 1\u3002\u56e0\u6b64\uff0c\u5728\u6c42\u5bfc\u65f6\uff0c\u6211\u4eec\u603b\u662f\u5c06\u51fd\u6570\u672c\u8eab\u4e58\u4ee5 1\uff0c\u7ed3\u679c\u603b\u662f\u5f97\u5230\u51fd\u6570 d&#8217;origin\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-813ea4b6f7f7e4fe8b42bbcfb51c7852_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^x \\quad\\longrightarrow\\quad f'(x)=e^x\\cdot 1= e^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"290\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-derivadas-de-funciones-exponenciales\"><\/span>\u89e3\u51b3\u4e86\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\u95ee\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u63a8\u5bfc\u4ee5\u4e0b\u6307\u6570\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-7de1da2b9fd94b2dc66e4b8d76e9c9bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" 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-left\">\u8be5\u51fd\u6570\u57fa\u4e8e e \u4ee5\u5916\u7684\u6570\u5b57\uff0c\u56e0\u6b64\u6211\u4eec\u9700\u8981\u4f7f\u7528\u4ee5\u4e0b\u516c\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-9e08a04b92ffd23b3c62e687287db57e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=a^u\\cdot \\ln(a) \\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6307\u6570\u51fd\u6570\u4ee5 3 \u4e3a\u5e95\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-cde0dfbeae96c0d86be1974d1e9f5fa4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3^x \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=3^x\\cdot \\ln(3) \\cdot 1=3^x\\cdot \\ln(3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"477\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u6307\u6570\u51fd\u6570\u7684\u5bfc\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-2b67ede3af479a1a20bb869d00d7a55d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=7^{3x^2-4x}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"114\" 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-left\">\u672c\u7ec3\u4e60\u4e2d\u7684\u51fd\u6570\u57fa\u4e8e e \u4ee5\u5916\u7684\u6570\u5b57\uff0c\u56e0\u6b64\u5fc5\u987b\u5e94\u7528\u4ee5\u4e0b\u516c\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-9e08a04b92ffd23b3c62e687287db57e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=a^u\\cdot \\ln(a) \\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6240\u4ee5\u51fd\u6570\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-db999a17327fb3983942af23c5a11a1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=7^{3x^2-4x} \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=7^{3x^2-4x}\\cdot \\ln(7) \\cdot (6x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"518\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u6307\u6570\u51fd\u6570\u4ee5 e \u4e3a\u5e95\u7684\u5bfc\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-9c2e32c1eea83d0ac98d8317339d4d40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{(5x^2-9x)^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"130\" 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-left\">\u672c\u7ec3\u4e60\u4e2d\u7684\u51fd\u6570\u4ee5\u6570\u5b57 e \u4f5c\u4e3a\u57fa\u6570\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\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-de605bc131ee2baa1c99471c42466903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^u\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"340\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6307\u6570\u51fd\u6570\u7684\u63a8\u5bfc\u7ed9\u51fa\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-c0281155c7414dc3d2876048f52b3cf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=e^{(5x^2-9x)^3} \\cdot 3(5x^2-9x)^2\\cdot (10x-9)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"331\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8bf7\u6ce8\u610f\uff0c\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u5bfc\u6570\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u94fe\u5f0f\u6cd5\u5219\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u6307\u6570\u51fd\u6570\u4ee5\u6839\u4e3a\u6307\u6570\u7684\u5bfc\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-991dfad4c35630b1aaa73dc919c43013_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=9^{\\sqrt{5x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\/\u6839\u5f0f\u65e0\u7406\u6839\u51fd\u6570\u7684\u5bfc\u6570\/\">\u6839\u5f0f\u51fd\u6570\u7684\u5bfc\u6570<\/a><\/span><\/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-left\">\u867d\u7136\u6307\u6570\u4e2d\u5b58\u5728\u6839\u5f0f\u8868\u8fbe\u5f0f\uff0c\u4f46\u6211\u4eec\u4ecd\u7136\u9700\u8981\u5229\u7528\u89c4\u5219\u4ee5 a \u4e3a\u5e95\u63a8\u5bfc\u51fa\u6307\u6570\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-9e08a04b92ffd23b3c62e687287db57e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=a^u\\cdot \\ln(a) \\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u590d\u5408\u6307\u6570\u51fd\u6570\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-a51d0a3b53cf4bfbf1aed0095d290002_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=9^{\\sqrt{5x}}\\cdot \\ln(9) \\cdot \\cfrac{5}{2\\sqrt{5x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"206\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e605<\/h3>\n<p>\u4ece e \u57fa\u6570\u548c\u5c0f\u6570\u6307\u6570\u5bfc\u51fa\u4ee5\u4e0b\u6307\u6570\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-de0492ce5da22dff9013f236e778d71d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{\\frac{x^2}{5-3x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"97\" style=\"vertical-align: -5px;\"><\/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\/\u9664\u5546\u7684\u5bfc\u6570\/\">\u51fd\u6570\u5546\u7684\u5bfc\u6570<\/a><\/span><\/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-left\">\u5e42\u7684\u5e95\u6570\u662f\u6570\u5b57 e\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u89c4\u5219\u6765\u5212\u5206\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-de605bc131ee2baa1c99471c42466903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^u\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"340\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6307\u6570\u51fd\u6570\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-288902dc45d9104ecf869510b1977ee5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=e^{\\frac{x^2}{5-3x}} \\cdot \\cfrac{2x\\cdot (5-3x)-x^2\\cdot (-3)}{(5-3x)^2}\\\\[3ex] &amp;=e^{\\frac{x^2}{5-3x}} \\cdot \\cfrac{10x-6x^2+3x^2}{(5-3x)^2}\\\\[3ex] &amp;=e^{\\frac{x^2}{5-3x}} \\cdot \\cfrac{10x-3x^2}{(5-3x)^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"196\" width=\"302\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u6307\u6570\u51fd\u6570\u3002\u60a8\u5c06\u627e\u5230\u6307\u6570\u5bfc\u6570\u7684\u516c\u5f0f\uff08\u4ee5 a \u548c e \u4e3a\u5e95\uff09\u4ee5\u53ca\u6307\u6570\u51fd\u6570\u5bfc\u6570\u7684\u5df2\u89e3\u7b54\u7ec3 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u6307\u6570\u51fd\u6570\u7684\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-371","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>\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570 - Mathority<\/title>\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\/\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570 - Mathority\" \/>\n<meta property=\"og:description\" content=\"\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u6307\u6570\u51fd\u6570\u3002\u60a8\u5c06\u627e\u5230\u6307\u6570\u5bfc\u6570\u7684\u516c\u5f0f\uff08\u4ee5 a \u548c e \u4e3a\u5e95\uff09\u4ee5\u53ca\u6307\u6570\u51fd\u6570\u5bfc\u6570\u7684\u5df2\u89e3\u7b54\u7ec3 &hellip; \u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570 \u67e5\u770b\u5168\u6587 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/cn\/\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-03T19:15:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e08a04b92ffd23b3c62e687287db57e_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\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/\"},\"author\":{\"name\":\"Mathority\u56e2\u961f\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\"},\"headline\":\"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\",\"datePublished\":\"2023-07-03T19:15:07+00:00\",\"dateModified\":\"2023-07-03T19:15:07+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/\"},\"wordCount\":30,\"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\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/\",\"url\":\"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/\",\"name\":\"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570 - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/#website\"},\"datePublished\":\"2023-07-03T19:15:07+00:00\",\"dateModified\":\"2023-07-03T19:15:07+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%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\":\"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\"}]},{\"@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":"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570 - Mathority","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\/\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\/","og_locale":"zh_CN","og_type":"article","og_title":"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570 - Mathority","og_description":"\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u6307\u6570\u51fd\u6570\u3002\u60a8\u5c06\u627e\u5230\u6307\u6570\u5bfc\u6570\u7684\u516c\u5f0f\uff08\u4ee5 a \u548c e \u4e3a\u5e95\uff09\u4ee5\u53ca\u6307\u6570\u51fd\u6570\u5bfc\u6570\u7684\u5df2\u89e3\u7b54\u7ec3 &hellip; \u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570 \u67e5\u770b\u5168\u6587 &raquo;","og_url":"https:\/\/mathority.org\/cn\/\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\/","article_published_time":"2023-07-03T19:15:07+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e08a04b92ffd23b3c62e687287db57e_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\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/"},"author":{"name":"Mathority\u56e2\u961f","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071"},"headline":"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570","datePublished":"2023-07-03T19:15:07+00:00","dateModified":"2023-07-03T19:15:07+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/"},"wordCount":30,"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\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/","url":"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/","name":"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570 - Mathority","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/#website"},"datePublished":"2023-07-03T19:15:07+00:00","dateModified":"2023-07-03T19:15:07+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/cn\/%e6%8c%87%e6%95%b0%e5%87%bd%e6%95%b0%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":"\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570"}]},{"@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\/371","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=371"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/371\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/media?parent=371"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/categories?post=371"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/tags?post=371"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}