{"id":34,"date":"2023-09-17T11:01:40","date_gmt":"2023-09-17T11:01:40","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e6%b8%9b%e7%ae%97%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/"},"modified":"2023-09-17T11:01:40","modified_gmt":"2023-09-17T11:01:40","slug":"%e6%b8%9b%e7%ae%97%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e6%b8%9b%e7%ae%97%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u6e1b\u7b97\u306e\u5c0e\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u95a2\u6570\u306e\u5f15\u304d\u7b97\uff08\u516c\u5f0f\uff09\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u6e1b\u7b97\u5c0e\u95a2\u6570\u306e\u4f8b\u3084\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u305f\u7df4\u7fd2\u554f\u984c\u3082\u898b\u3064\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-una-resta\"><\/span>\u6e1b\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>2 \u3064\u306e\u95a2\u6570\u3092\u6e1b\u7b97\u3057\u305f\u5c0e\u95a2\u6570\u306f\u3001\u5404\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u500b\u5225\u306b\u6e1b\u7b97\u3057\u305f\u3053\u3068\u3068\u540c\u3058\u3067\u3059\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-2eb280531ada831cf451f6440ac3cb7d_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>\u8a00\u3044\u63db\u3048\u308c\u3070\u30012 \u3064\u306e\u95a2\u6570\u3092\u500b\u5225\u306b\u5fae\u5206\u3057\u3066\u304b\u3089\u6e1b\u7b97\u3059\u308b\u3053\u3068\u306f\u3001\u6700\u521d\u306b\u95a2\u6570\u3092\u6e1b\u7b97\u3057\u3066\u304b\u3089\u5c0e\u95a2\u6570\u3092\u6c42\u3081\u308b\u3053\u3068\u3068\u540c\u3058\u3067\u3059\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-d-une-soustraction-1.webp\" alt=\"\u6e1b\u7b97\u306e\u5c0e\u95a2\u6570\" class=\"wp-image-2053\" width=\"243\" height=\"243\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u540c\u69d8\u306b\u3001\u540c\u3058\u5fae\u5206\u898f\u5247\u304c 2 \u3064\u4ee5\u4e0a\u306e\u95a2\u6570\u306e\u6e1b\u7b97\u306b\u3082\u9069\u7528\u3055\u308c\u308b\u305f\u3081\u30013\u30014\u30015\u3001&#8230; \u95a2\u6570\u306e\u6e1b\u7b97\u304c\u3042\u308b\u5834\u5408\u306f\u3001\u305d\u308c\u305e\u308c\u3092\u500b\u5225\u306b\u5fae\u5206\u3057\u3066\u304b\u3089\u6e1b\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-8bc282473a7f7560eebc97db66bb8f54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}z(x)=f(x)- g(x)- h(x)- \\dots\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex]z'(x)=f'(x)-g'(x)- h'(x)- \\dots\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"261\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u95a2\u6570\u306e\u5dee\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u306f\u3001\u548c\u306e\u5c0e\u95a2\u6570\u306e\u898f\u5247\u3068\u975e\u5e38\u306b\u3088\u304f\u4f3c\u3066\u3044\u307e\u3059\u3002<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> \u300c<span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u548c\u306e\u5c0e\u95a2\u6570\/\">\u95a2\u6570\u306e\u548c\u306e\u5c0e\u95a2\u6570\u300d<\/a><\/span><strong>\u3092\u53c2\u7167<\/strong><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-una-resta\"><\/span>\u6e1b\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6e1b\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u6b21\u306b\u3053\u306e\u30bf\u30a4\u30d7\u306e\u6f14\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u5206\u6790\u3057\u3066\u3001\u95a2\u6570\u306e\u6e1b\u7b97\u304c\u3069\u306e\u3088\u3046\u306b\u5c0e\u51fa\u3055\u308c\u308b\u304b\u3092\u5b8c\u5168\u306b\u7406\u89e3\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-de-una-resta-de-funciones-potenciales\"><\/span>\u4f8b 1: \u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u95a2\u6570\u306e\u6e1b\u7b97\u306e\u5c0e\u95a2\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-ea1b9e305c4c2b69fa19c4458715aa03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^3-4x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>2 \u3064\u306e\u95a2\u6570\u3092\u6e1b\u7b97\u3057\u305f\u5c0e\u95a2\u6570\u306f\u3001\u5404\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u500b\u5225\u306b\u5dee\u5206\u3057\u305f\u3082\u306e\u3068\u7b49\u4fa1\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b\u5404\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u500b\u5225\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-57\">\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-d80e76a954f8534d7a4229864ab4c7ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx} \\ x^3=3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"93\" 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-c96360191da869602a245eff5e086e86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ 4x=4\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"77\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u5168\u4f53\u306e\u5c0e\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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-e0227a82cee066220095b0cb8a73276f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=3x^2-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-de-una-resta-de-funciones-distintas\"><\/span>\u4f8b 2: \u3055\u307e\u3056\u307e\u306a\u95a2\u6570\u306e\u6e1b\u7b97\u306e\u5c0e\u95a2\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-3359936db8c2787dcb9d1c9eb1afb194_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(x)-\\log_7(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6e1b\u7b97\u95a2\u6570\u3092\u533a\u5225\u3059\u308b\u306b\u306f\u3001\u307e\u305a 2 \u3064\u306e\u95a2\u6570\u3092\u500b\u5225\u306b\u5fae\u5206\u3057\u3066\u304b\u3089\u3001\u305d\u308c\u3089\u3092\u6e1b\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-60\">\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-88911e0c596da5c7e5cd27ae8411eda1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx} \\ \\text{cos}(x)=-\\text{sen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"158\" 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-440c15ed64920bf34bb54bc46cece0e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ \\log_7 (x^2)=\\cfrac{2x}{x^2\\cdot \\ln(7)}=\\cfrac{2}{x\\ln(7)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"261\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u305d\u3057\u3066\u30012 \u3064\u306e\u5c0e\u95a2\u6570\u3092\u4f5c\u6210\u3057\u305f\u5f8c\u3001\u540c\u3058\u521d\u671f\u9806\u5e8f\u3067\u305d\u308c\u3089\u3092\u6e1b\u7b97\u3057\u307e\u3059\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-2e37e34506772fb550148f02cbc9ebdd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=-\\text{sen}(x)-\\cfrac{2}{x\\ln(7)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"200\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-de-una-resta-al-cuadrado\"><\/span>\u4f8b 3: 2 \u4e57\u6e1b\u7b97\u306e\u5c0e\u95a2\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-3fea677e30feb8612d8d9ff7108a1625_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\left(x^7-2x^3-9\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"178\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u3053\u308c\u306f 3 \u3064\u306e 2 \u4e57\u95a2\u6570\u9593\u306e\u6e1b\u7b97\u3067\u3042\u308b\u305f\u3081\u3001\u8907\u5408\u95a2\u6570\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3068\u9023\u9396\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066\u3001\u95a2\u6570\u5168\u4f53\u306e\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-4592b6df0dc2ed15a07f4382a817372f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2\\left(x^7-2x^3-9\\right)\\cdot \\left(7x^6-6x^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"285\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u96fb\u529b\u30db\u309a\u30c6\u30f3\u30b7\u30e3\u30eb\u95a2\u6570\u306e\u5c0e\u95a2\u6570\/\">\u3079\u304d\u4e57\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-de-una-resta\"><\/span>\u6e1b\u7b97\u306e\u5fae\u5206\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306e\u95a2\u6570\u306e\u6e1b\u7b97\u3092\u5c0e\u304d\u51fa\u3057\u307e\u3059\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-554714ddbd627e6e4db47875cf74ced0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f(x)=9x^3-5x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"152\" 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-a44e7914b191221833e66b56cfb85c0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f(x)=4x^5-6x^4-x^2-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"229\" 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-d2ffe7ee4f97af710c28c149b75ee6fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f(x)=\\left(-3x^7-2x^5\\right)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"196\" 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-e2a65669468838e35b6314f216c94c20_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f(x)=\\ln(5x^2+3x)-\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"249\" 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-b2a845babbdb5c1108fb183266b265cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f(x)=8x^3-e^{5x}-\\sqrt{8x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"241\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/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-a7619c845d231badc6717536370242c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f'(x)=27x^2-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"154\" 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-69d4ff912fd82dfe90ff0996b1782195_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f'(x)=20x^4-24x^3-2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"221\" 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-efabd300a93704ba1ef8dd75ab565c32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f'(x)=4\\left(-3x^7-2x^5\\right)^3\\cdot (-21x^6-10x^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"345\" 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-ef722845586f56e6fa7aff817614b6b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f'(x)=\\cfrac{10x+3}{5x^2+3x}-\\bilg(-\\text{sen}(x)\\bigr)=\\cfrac{10x+3}{5x^2+3x}+\\text{sen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"420\" style=\"vertical-align: -14px;\"><\/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-4cdf075f9332987c97d80e87aa96be07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f'(x)=24x^2-5e^{5x}-\\cfrac{8}{2\\sqrt{8x+2}}=24x^2-5e^{5x}-\\cfrac{4}{\\sqrt{8x+2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"476\" style=\"vertical-align: -16px;\"><\/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-derivada-de-una-resta\"><\/span>\u6e1b\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u8a3c\u660e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306b\u3001\u5c0e\u95a2\u6570\u306e\u5b9a\u7fa9\u304b\u3089\u95a2\u6570\u3092\u6e1b\u7b97\u3059\u308b\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3092\u793a\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\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-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>\u3057\u305f\u304c\u3063\u3066\u3001z \u304c 2 \u3064\u306e\u7570\u306a\u308b\u95a2\u6570\u306e\u5dee\u3067\u3042\u308b\u5834\u5408:<\/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-d195ec32e5caf166e1ae253669f8cea5_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> z \u3092\u3001\u6975\u9650\u5f0f\u306e\u95a2\u6570\u306e\u6e1b\u7b97\u3067\u7f6e\u304d\u63db\u3048\u307e\u3059\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-40e01069bb5a50a9f8706e0b232a6c4f_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-0c008a2b368b6662d4184f781c60b73d_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>\u3053\u3053\u3067\u3001\u5206\u6570\u3092\u5206\u96e2\u3057\u30012 \u3064\u306e\u5206\u6570\u306e\u6e1b\u7b97\u3092\u6c42\u3081\u308b\u5909\u63db\u3092\u5b9f\u884c\u3057\u307e\u3059\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-e88137498b1755e2cbe6a93a99d2b769_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=\"392\" style=\"vertical-align: -16px;\"><\/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-4d2339c16c7467a19eb2387b7d84985e_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>\u9650\u754c\u306e\u6cd5\u5247\u3092\u9069\u7528\u3059\u308b\u3068\u3001\u4e0a\u8a18\u306e\u5f0f\u3092 2 \u3064\u306e\u7570\u306a\u308b\u9650\u754c\u306b\u5206\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6e1b\u7b97\u306e\u9650\u754c\u306f\u9650\u754c\u306e\u6e1b\u7b97\u306b\u7b49\u3057\u3044\u305f\u3081\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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-bd3b4a827d5e04a2c084d0b2cfc0a1af_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>\u3088\u304f\u898b\u308b\u3068\u3001\u5404\u6975\u9650\u306f\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5dee\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\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-5e0eb0254f80f131053caa8ee1480b2b_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>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u95a2\u6570\u306e\u5f15\u304d\u7b97\uff08\u516c\u5f0f\uff09\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u6e1b\u7b97\u5c0e\u95a2\u6570\u306e\u4f8b\u3084\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u305f\u7df4\u7fd2\u554f\u984c\u3082\u898b\u3064\u304b\u308a\u307e\u3059\u3002 \u6e1b\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f 2 \u3064\u306e\u95a2\u6570\u3092\u6e1b\u7b97\u3057\u305f\u5c0e\u95a2\u6570\u306f\u3001\u5404\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u500b\u5225\u306b\u6e1b\u7b97\u3057\u305f\u3053\u3068\u3068\u540c\u3058\u3067\u3059\u3002 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e6%b8%9b%e7%ae%97%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u6e1b\u7b97\u306e\u5c0e\u95a2\u6570<\/span> \u3082\u3063\u3068\u8aad\u3080 &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-34","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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