{"id":27,"date":"2023-09-17T11:04:26","date_gmt":"2023-09-17T11:04:26","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%b8%b8%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/"},"modified":"2023-09-17T11:04:26","modified_gmt":"2023-09-17T11:04:26","slug":"%e5%b8%b8%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%b8%b8%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/","title":{"rendered":"\u7531\u5e38\u6570\u5bfc\u51fa"},"content":{"rendered":"<p>\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u5e38\u6570\u7684\u5bfc\u6570\u503c\u591a\u5c11\u94b1\uff08\u5e76\u9644\u6709\u793a\u4f8b\uff09\u3002\u6211\u4eec\u8fd8\u6559\u60a8\u5982\u4f55\u8ba1\u7b97\u5e38\u6570\u4e58\u4ee5\u51fd\u6570\u3001\u5e38\u6570\u9664\u4ee5\u51fd\u6570\u4ee5\u53ca\u4f5c\u4e3a\u51fd\u6570\u63d0\u51fa\u7684\u5e38\u6570\u7684\u5bfc\u6570\u3002\u6700\u540e\uff0c\u60a8\u53ef\u4ee5\u901a\u8fc7\u5e38\u91cf\u5bfc\u6570\u7684\u5df2\u89e3\u51b3\u7ec3\u4e60\u8fdb\u884c\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"cual-es-la-derivada-de-una-constante\"><\/span>\u4ec0\u4e48\u662f\u5e38\u6570\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u65e0\u8bba<strong>\u5e38\u6570\u7684\u503c\u5982\u4f55\uff0c\u5e38\u6570\u7684\u5bfc\u6570\u59cb\u7ec8\u4e3a\u96f6<\/strong>\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-2d766593916de27e212a34aef2054834_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"298\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6c42\u4e00\u4e2a\u5e38\u6570\u51fd\u6570\u7684\u5bfc\u6570\uff0c\u4e0d\u9700\u8981\u505a\u4efb\u4f55\u8ba1\u7b97\uff0c\u5bfc\u6570\u5c31\u662f\u96f6\u3002<\/p>\n<p>\u5e38\u6570\u7684\u5bfc\u6570\u4e3a\u96f6\uff0c\u56e0\u4e3a<span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u5e38\u6570\u51fd\u6570\/\">\u5e38\u6570\u51fd\u6570\u7684\u56fe\u50cf<\/a><\/span>\u6ca1\u6709\u659c\u7387\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-derivadas-de-constantes\"><\/span>\u5e38\u6570\u5bfc\u6570\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7ed9\u51fa\u5e38\u91cf\u51fd\u6570\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u6211\u4eec\u5c06\u770b\u5230\u51e0\u4e2a\u5df2\u89e3\u51b3\u7684\u793a\u4f8b\u6765\u5b8c\u5168\u7406\u89e3\u8be5\u6982\u5ff5\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-561a1b2c2b0347c0cb38ed7565e46fa7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=3 \\qquad \\longrightarrow\\qquad f'(x)=0\\\\[3ex]g(x)=-5 \\qquad \\longrightarrow\\qquad g'(x)=0\\\\[3ex]h(x)=291 \\qquad \\longrightarrow\\qquad h'(x)=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"265\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u4f60\u6240\u770b\u5230\u7684\uff0c\u5e38\u6570\u7684\u5bfc\u6570\u603b\u662f\u4e3a0\u3002\u65e0\u8bba\u5e38\u6570\u7684\u7b26\u53f7\u662f\u6b63\u8fd8\u662f\u8d1f\uff0c\u6216\u8005\u5e38\u6570\u7684\u503c\u662f\u5f88\u5927\u8fd8\u662f\u5f88\u5c0f\uff0c\u5b83\u7684\u5bfc\u6570\u90fd\u5c06\u4e3a\u96f6\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-derivada-de-una-constante\"><\/span>\u5e38\u6570\u5bfc\u6570\u7684\u8bc1\u660e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u5e38\u6570\u7684\u5bfc\u6570\u662f\u591a\u5c11\uff0c\u6211\u4eec\u5c31\u4f1a\u8bc1\u660e\u4e3a\u4ec0\u4e48\u8fd9\u79cd\u7c7b\u578b\u7684\u5bfc\u6570\u7b49\u4e8e\u96f6\u3002<\/p>\n<p>\u4ee4<em>f<\/em>\u4e3a\u4efb\u610f\u503c\u7684\u5e38\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-252f9958e223f77bf50cb3b92a7c3e35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8ba1\u7b97\u51fd\u6570\u5728\u4e00\u70b9\u7684\u5bfc\u6570\u7684\u516c\u5f0f\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-1162892842eac60784851f1e85e8fdb4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(a)=\\lim_{h\\to 0}\\frac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"217\" style=\"vertical-align: -13px;\"><\/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\/\u884d\u751f\u54c1\/\">\u5bfc\u6570\u7684\u5b9a\u4e49<\/a><\/span><\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u6c42\u89e3\u5e38\u6570\u51fd\u6570\u7684\u6781\u9650\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-58d3f81dc74abeda947bde54da295ed4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(a)=\\lim_{h\\to 0}\\frac{f(a+h)-f(a)}{h}=\\frac{k-k}{h}=\\frac{0}{h}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"358\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u6240\u4ee5\u5e38\u6570\u51fd\u6570\u7684\u5bfc\u6570\u5728\u6bcf\u4e00\u70b9\u90fd\u4e3a 0\u3002\u56e0\u6b64\uff0c\u8bc1\u660e\u4e86\u5e38\u6570\u5bfc\u6570\u7684\u516c\u5f0f\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-de-una-constante-por-una-funcion\"><\/span>\u51fd\u6570\u5bf9\u5e38\u6570\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6211\u4eec\u521a\u521a\u5206\u6790\u4e86\u5355\u4e2a\u5e38\u6570\uff08\u5373\u6ca1\u6709\u4efb\u4f55\u53d8\u91cf\u7684\u51fd\u6570\uff09\u7684\u5bfc\u6570\u3002\u4f46\u5982\u60a8\u6240\u77e5\uff0c\u53ef\u4ee5\u4f7f\u7528\u64cd\u4f5c\u6765\u7ec4\u5408\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u4e0b\u9762\u6211\u4eec\u5c06\u7814\u7a76\u5e38\u6570\u4e0e\u5176\u4ed6\u7c7b\u578b\u51fd\u6570\u7ed3\u5408\u7684\u5bfc\u6570\uff0c\u4f8b\u5982\u5e38\u6570\u4e58\u4ee5\u53e6\u4e00\u7c7b\u578b\u51fd\u6570\u7684\u5bfc\u6570\u3002<\/p>\n<p><strong>\u5e38\u6570\u4e58\u4ee5\u51fd\u6570\u7684\u5bfc\u6570\u7b49\u4e8e\u5e38\u6570\u4e58\u4ee5\u51fd\u6570\u7684\u5bfc\u6570\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-dc2d4fae6d8022adc2e0e59a11328e98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k\\cdot g(x)\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=k\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"394\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4e8c\u6b21\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-f2cfaac6bfb384965645704f65a77d73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=x^2\\quad \\longrightarrow\\quad g'(x)=2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"229\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u4e58\u4ee5\u4e00\u4e2a\u5e38\u6570\u7684\u5bfc\u6570\u76f8\u5f53\u4e8e\u5c06\u4e0a\u4e00\u6b65\u8ba1\u7b97\u51fa\u7684\u5bfc\u6570\u4e58\u4ee5\u8be5\u5e38\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-b2d78b626617c0c2b71c57c4c001806e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=5\\cdot x^2\\quad \\longrightarrow\\quad f'(x)=5\\cdot 2x=10x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"326\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-de-una-constante-entre-una-funcion\"><\/span>\u51fd\u6570\u4e4b\u95f4\u5e38\u6570\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u51fd\u6570\u4e4b\u95f4\u5e38\u6570\u7684\u5bfc\u6570\u7b49\u4e8e\u4fee\u6539\u540e\u7684\u5e38\u6570\u4e58\u4ee5\u51fd\u6570\u5bfc\u6570\u9664\u4ee5\u51fd\u6570\u5e73\u65b9\u7684\u4e58\u79ef\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-a6f82edb233fb5397883601585b2c8b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{k}{g(x)}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{-k\\cdot g'(x)}{\\bigl[g(x)\\bigr]^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"398\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u5e38\u6570\u9664\u4ee5\u7ebf\u6027\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-834aa396d04dc3dfbf9ed34179d01d21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{3}{8x}\\quad\\longrightarrow\\quad f'(x)=\\cfrac{-3\\cdot 8}{\\bigl[8x\\bigr]^2}=\\cfrac{-24}{64x^2}=\\cfrac{-3}{8x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"391\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p>\u56e0\u4e3a 8x \u7684\u5bfc\u6570\u662f 8\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-de-una-constante-elevada-a-una-funcion\"><\/span>\u51fd\u6570\u4e2d\u5e38\u91cf\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4f5c\u4e3a\u51fd\u6570\u63d0\u51fa\u7684\u5e38\u6570\u7684\u5bfc\u6570\u7b49\u4e8e\u5e38\u6570\u7684\u81ea\u7136\u5bf9\u6570\u4e58\u4ee5\u4f5c\u4e3a\u51fd\u6570\u63d0\u51fa\u7684\u5e38\u6570\u4e58\u4ee5\u51fd\u6570\u7684\u5bfc\u6570\u7684\u4e58\u79ef\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-ed673abdbd2d71c999fda55567b5caa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k^{g(x)}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\ln(k)\\cdot k^{g(x)} \\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"452\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u7531\u4e8e\u6b63\u5f26\u7684\u5bfc\u6570\u662f\u4f59\u5f26\uff0c\u56e0\u6b64\u5c06\u4e00\u4e2a\u5927\u5e38\u6570\u5fae\u5206\u4e3a\u6b63\u5f26\u53ef\u5f97\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-9d71aa1159f9dff572fa00b5e944c93e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2^{sen(x)}\\quad\\longrightarrow\\quad f'(x)=\\ln(2)\\cdot 2^{sen(x)} \\cdot cos(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"404\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-derivadas-de-constantes\"><\/span>\u5df2\u89e3\u51b3\u5e38\u6570\u5bfc\u6570\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u5e38\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-1151947a5df3c80a9a82fd8dd7911d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)}\\ f(x)=4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" 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-f3b9b9e60f638606f1ea9036d33ce6b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)}\\ f(x)=99\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" 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-c5e39e91184c8e7a45c56c8426efb1d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)}\\ f(x)=-15\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" 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-2ca70a6708b842b71580fbfbcecad546_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)}\\ f(x)=\\cfrac{3}{11}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"104\" style=\"vertical-align: -12px;\"><\/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-0ae5d06cf677fc7362db34b01de801a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)}\\ f(x)=\\sqrt{29}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"116\" 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-7807a5902d509572902cf9708bb432a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F)}\\ f(x)=2\\pi\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" 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-a4e7f6030a532ed32a9e433a44e75d19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{G)}\\ f(x)=2\\cdot (3x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"169\" 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-afe95ae68313d4e96b4116a4c1319dc7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{H)}\\ f(x)=\\cfrac{10}{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"104\" style=\"vertical-align: -12px;\"><\/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-6d5568ffced02cb2bbb3d924529a8d5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{I)}\\ f(x)=5^{x^3+2x}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"127\" 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\">\u5728\u7ec3\u4e60 F) \u4e4b\u524d\uff0c\u6240\u6709\u51fd\u6570\u90fd\u662f\u7b80\u5355\u5e38\u6570\u503c\uff0c\u56e0\u6b64\u5b83\u4eec\u7684\u6240\u6709\u5bfc\u6570\u90fd\u4e3a\u96f6\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-1dd15b92eb6be305ddca9c2b0144e668_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)}\\ f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" 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-5913671d5f624902abdc69992468520b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)}\\ f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" 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-537e56da4a49f763a947286abf590ff2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)}\\ f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" 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-d437a34237ec2e84285ff79023cf4650_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)}\\ f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" 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-1b14287ec6a36fa3e932c967addf81b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)}\\ f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" 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-4b6fa2b8bbd48622e1656c8e81f77f76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F)}\\ f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5373\u4f7f\u5b83\u662f\u5206\u6570\u6216\u6839\uff0c\u5982\u679c\u51fd\u6570\u6ca1\u6709\u53d8\u91cf\uff0c\u5219\u610f\u5473\u7740\u5b83\u662f\u5e38\u6570\u51fd\u6570\uff0c\u56e0\u6b64\u5176\u5bfc\u6570\u4e3a\u96f6\u3002<\/p>\n<p class=\"has-text-align-left\">\u76f8\u53cd\uff0c\u4ee5\u4e0b\u4e09\u4e2a\u7ec3\u4e60\u662f\u5e38\u91cf\u4e0e\u5176\u4ed6\u51fd\u6570\u7684\u8fd0\u7b97\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u5b83\u4eec\u7684\u5bfc\u6570\uff0c\u6211\u4eec\u9700\u8981\u5e94\u7528\u5b83\u4eec\u76f8\u5e94\u7684\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-deb38c5b02aa6a18a9f068256f5cafb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{G)}\\ f'(x)=2\\cdot 3=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" 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-56aa83b86415c5e5bf7156f896622879_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{H)}\\ f'(x)=\\cfrac{-10\\cdot 2x}{\\bigl[x^2\\bigr]^2}=\\cfrac{-20x}{x^4}=\\cfrac{-20}{x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"303\" style=\"vertical-align: -23px;\"><\/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-c909027a7982134fe162399678aeb794_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{I)}\\ f(x)=\\ln(5)\\cdot 5^{x^3+2x}\\cdot (3x^2+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"260\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u5e38\u6570\u7684\u5bfc\u6570\u503c\u591a\u5c11\u94b1\uff08\u5e76\u9644\u6709\u793a\u4f8b\uff09\u3002\u6211\u4eec\u8fd8\u6559\u60a8\u5982\u4f55\u8ba1\u7b97\u5e38\u6570\u4e58\u4ee5\u51fd\u6570\u3001\u5e38\u6570\u9664\u4ee5\u51fd\u6570\u4ee5\u53ca\u4f5c\u4e3a\u51fd\u6570\u63d0 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%b8%b8%e6%95%b0%e7%9a%84%e5%af%bc%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u7531\u5e38\u6570\u5bfc\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-27","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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