{"id":1333,"date":"2023-08-26T18:03:11","date_gmt":"2023-08-26T15:03:11","guid":{"rendered":"https:\/\/bagrut-ru.com\/?p=1333"},"modified":"2025-09-04T17:43:41","modified_gmt":"2025-09-04T14:43:41","slug":"%d0%b1%d0%b0%d0%b3%d1%80%d1%83%d1%82-5-%d0%b7%d0%b8%d0%bc%d0%b0-2023-%d0%b2%d0%b0%d1%80%d0%b8%d0%b0%d0%bd%d1%82-35571-%d0%b7%d0%b0%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5-6","status":"publish","type":"post","link":"https:\/\/bagrut-ru.com\/?p=1333","title":{"rendered":"\u0411\u0410\u0413\u0420\u0423\u0422 (5). \u0417\u0418\u041c\u0410 2023, \u0412\u0410\u0420\u0418\u0410\u041d\u0422 35571, \u0417\u0410\u0414\u0410\u041d\u0418\u0415 6"},"content":{"rendered":"\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"786\" data-id=\"1334\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/134-1024x786.png\" alt=\"\" class=\"wp-image-1334\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/134-1024x786.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/134-300x230.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/134-768x590.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/134.png 1310w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"838\" height=\"846\" data-id=\"1335\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/135.png\" alt=\"\" class=\"wp-image-1335\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/135.png 838w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/135-297x300.png 297w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/135-150x150.png 150w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/135-768x775.png 768w\" sizes=\"auto, (max-width: 838px) 100vw, 838px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/meyda.education.gov.il\/sheeloney_bagrut\/2023\/1\/RUS\/35571.pdf\" data-type=\"link\" data-id=\"https:\/\/meyda.education.gov.il\/sheeloney_bagrut\/2023\/1\/RUS\/35571.pdf\">\u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spoiler-wrap\">\n\t\t\t\t<div class=\"spoiler-head folded\">\u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/div>\n\t\t\t\t<div class=\"spoiler-body\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0414\u0430\u043d\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(f(x)=x^n\\cdot (x+1)^2, \\ n>1\\), \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0430\u044f \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \\(x\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"><strong>(\u05d0)<\/strong><\/mark> \u041d\u0430\u0439\u0434\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)\\) \u0441 \u043e\u0441\u044f\u043c\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412 \u0442\u043e\u0447\u043a\u0430\u0445 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0441\u044c\u044e \u0425 \u0443-\u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e. \u041d\u0430\u0439\u0434\u0435\u043c \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0445. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(f(x)=x^n\\cdot (x+1)^2=0\\) \u041f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0435\u043c \u043a\u0430\u0436\u0434\u044b\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c \u043a \u043d\u0443\u043b\u044e, \u043f\u043e\u043b\u0443\u0447\u0438\u043c  \\(x=0\\) \u0438\u043b\u0438 \\(x=-1\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412 \u0442\u043e\u0447\u043a\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0441\u044c\u044e Y x-\u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e. \u041d\u0430\u0439\u0434\u0435\u043c \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0443.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \\(y=0^n\\cdot (0+1)^2=0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0418\u0442\u0430\u043a, <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e \u0425: \\((0;0)\\), \\(-1;0)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e Y: \\((0;0)\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"><strong>(\u05d1)<\/strong><\/mark> \u041d\u0430\u0439\u0434\u0435\u043c \u043f\u0440\u0438 \u043a\u0430\u043a\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u0445 \\(x\\) \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(f(x)>0\\) \u0438 \u043f\u0440\u0438 \u043a\u0430\u043a\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u0445 \\(x\\) \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(f(x)&lt;0\\). <\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\\(n\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \\(x^n\\ge0, \\ (x+1)^2 \\ge0\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e,  \\(f(x)=x^n\\cdot (x+1)^2>0\\) \u043f\u0440\u0438 \u0432\u0441\u0435\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u0445 \\(x\\), \u043a\u0440\u043e\u043c\u0435 \u0442\u0435\u0445, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e. \u0422\u043e \u0435\u0441\u0442\u044c  \\(f(x)>0\\) \u043f\u0440\u0438 \\(x&lt;-1,\\ -1&lt;x&lt;0,\\ x>0\\). \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0445, \u043f\u0440\u0438 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \\(f(x)&lt;0\\) \u043d\u0435\u0442.<\/li>\n\n\n\n<li>\\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e.  \\((x+1)^2 \\ge0\\) \u043f\u0440\u0438 \u043b\u044e\u0431\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438 \\(x\\).  \u041d\u043e \u0435\u0441\u043b\u0438 \\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \\(x^n\\) \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0432 \u0442\u043e\u0447\u043a\u0435 \\(x=0\\). \u041f\u0440\u0438 \\(x&lt;0\\) \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435  \\(x^n&lt;0\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(f(x)=x^n\\cdot (x+1)^2\\le0\\).  \u041f\u0440\u0438 \\(x>0\\) \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \\(x^n>0\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(f(x)=x^n\\cdot (x+1)^2>0\\). \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u0438 \\(x>0\\) \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)>0\\), \u0438 \\(f(x)&lt;0\\) \u043f\u0440\u0438 \\(x&lt;-1,\\ -1&lt;x&lt;0\\)<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u0417\u0430\u043c\u0435\u0442\u0438\u043c, \u0447\u0442\u043e \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043d\u0430\u0441 \u0441\u043f\u0440\u0430\u0448\u0438\u0432\u0430\u044e\u0442, \u043f\u0440\u0438 \u043a\u0430\u043a\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438 \\(x\\) \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <em>\u0441\u0442\u0440\u043e\u0433\u043e <\/em>\u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0438\u043b\u0438 <em>\u0441\u0442\u0440\u043e\u0433\u043e<\/em> \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0442\u043e\u0447\u043a\u0438, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \\(f(x)=0\\) \u0432 \u043e\u0442\u0432\u0435\u0442 \u043d\u0435 \u0432\u0445\u043e\u0434\u044f\u0442. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \u0435\u0441\u043b\u0438 \\(n\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \\(f(x)=x^n\\cdot (x+1)^2>0\\) \u043f\u0440\u0438 \\(x&lt;-1,\\ -1&lt;x&lt;0,\\ x>0\\). \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0445, \u043f\u0440\u0438 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \\(f(x)&lt;0\\) \u043d\u0435\u0442.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0435\u0441\u043b\u0438 \\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \\(f(x)=x^n\\cdot (x+1)^2&lt;0\\) \u043f\u0440\u0438 \\(x&lt;-1,\\ -1&lt;x&lt;0\\).  \\(f(x)>0\\) \u043f\u0440\u0438  \\(x>0\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"><strong>(\u05d2)<\/strong><\/mark> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u0435\u043a \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430, \u043d\u0430\u0439\u0434\u0435\u043c \u043d\u0430\u0439\u0434\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)\\). \u0412 \u0442\u043e\u0447\u043a\u0435 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0441 &#171;-&#187; \u043d\u0430 &#171;+&#187;, \u0432 \u0442\u043e\u0447\u043a\u0435 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0441 &#171;+&#187; \u043d\u0430  &#171;-&#171;. \u0424\u0443\u043d\u043a\u0446\u0438\u044f  \\(f(x)=x^n\\cdot (x+1)^2\\) \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \\(x^n\\) \u0438  \\((x+1)^2\\). \u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">\\((UV)&#8217;=U&#8217;V+V&#8217;U\\)<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(f'(x)=(x^n)&#8217;\\cdot (x+1)^2+x^n\\cdot ((x+1)^2)&#8217;=nx^{n-1}\\cdot (x+1)^2+x^n\\cdot2(x+1)=\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=x^{n-1}\\cdot (x+1)(n(x+1)+2x)=x^{n-1}\\cdot (x+1)(x(n+2)+n)\\) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e\u043b\u0443\u0447\u0438\u043b\u0438: \\(f'(x)=x^{n-1}\\cdot (x+1)(x(n+2)+n)\\) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043d\u0443\u043b\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0435\u043c \u043a\u0430\u0436\u0434\u044b\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c \u043a \u043d\u0443\u043b\u044e. \u041f\u043e\u043b\u0443\u0447\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \\(x\\), \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e: \\(x=0,\\ x=-1,\\ x=-\\frac{n}{n+2}\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(|\\frac{n}{n+2}|&lt;1\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(-1&lt;-\\frac{n}{n+2}&lt;0\\)<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"952\" height=\"132\" data-id=\"1361\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/139.png\" alt=\"\" class=\"wp-image-1361\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/139.png 952w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/139-300x42.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/139-768x106.png 768w\" sizes=\"auto, (max-width: 952px) 100vw, 952px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u0418\u0441\u0441\u043b\u0435\u0434\u0443\u0435\u043c \u0437\u043d\u0430\u043a\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \\(n\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0442\u043e \\(n-1\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0432\u043e \u0432\u0441\u0435\u0445 \u0442\u043e\u0447\u043a\u0430\u0445, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043e\u043d\u0430 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e. \u041f\u0440\u0438 \\(x>0\\) \\(f'(x)=x^{n-1}\\cdot (x+1)(x(n+2)+n)>0\\). \u041f\u043e\u043b\u0443\u0447\u0430\u0435\u043c: <\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"238\" data-id=\"1363\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141-1024x238.png\" alt=\"\" class=\"wp-image-1363\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141-1024x238.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141-300x70.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141-768x178.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141.png 1052w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0442\u043e \\(n-1\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043d\u0435 \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a  \u0432 \u0442\u043e\u0447\u043a\u0435  \\(x=0\\). \u0412 \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0447\u043a\u0430\u0445, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e, \u043e\u043d\u0430 \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a. \u041f\u0440\u0438 \\(x>0\\) \\(f'(x)=x^{n-1}\\cdot (x+1)(x(n+2)+n)>0\\). \u041f\u043e\u043b\u0443\u0447\u0430\u0435\u043c: <\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-5 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"239\" data-id=\"1362\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/140-1024x239.png\" alt=\"\" class=\"wp-image-1362\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/140-1024x239.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/140-300x70.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/140-768x179.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/140.png 1090w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \u0435\u0441\u043b\u0438 \\(n\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0442\u043e \u0442\u043e\u0447\u043a\u0438 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430 \\(x=-1,\\ x=0\\), \u0442\u043e\u0447\u043a\u0430 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 \\(x=-\\frac{n}{n+2}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0435\u0441\u043b\u0438 \\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430 \\(x=-\\frac{n}{n+2}\\), \u0442\u043e\u0447\u043a\u0430 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 \\(x=-1\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"><strong>(\u05d3)<\/strong><\/mark> \u0414\u043b\u044f \u0447\u0435\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f  \\(n\\) \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u0435 \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e: <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-6 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"238\" data-id=\"1363\" src=\"http:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141-1024x238.png\" alt=\"\" class=\"wp-image-1363\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141-1024x238.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141-300x70.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141-768x178.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/141.png 1052w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-7 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"482\" height=\"416\" data-id=\"1368\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/142.png\" alt=\"\" class=\"wp-image-1368\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/142.png 482w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/142-300x259.png 300w\" sizes=\"auto, (max-width: 482px) 100vw, 482px\" \/><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0414\u043b\u044f \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f  \\(n\\) \u0432\u044b\u0431\u0435\u0440\u0435\u043c \u043c\u0435\u0436\u0434\u0443 I \u0438 II. \u0413\u0440\u0430\u0444\u0438\u043a\u0438 \u043e\u0442\u043b\u0438\u0447\u0430\u044e\u0442\u0441\u044f \u0444\u043e\u0440\u043c\u043e\u0439 \u043f\u0440\u043e\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 \\(x=0\\):<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-8 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"474\" height=\"404\" data-id=\"1370\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/143.png\" alt=\"\" class=\"wp-image-1370\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/143.png 474w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/143-300x256.png 300w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u0417\u0434\u0435\u0441\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f &#171;\u0442\u043e\u0440\u043c\u043e\u0437\u0438\u0442&#187; \u0432 \u0442\u043e\u0447\u043a\u0435 \\(x=0\\), \u0442\u043e \u0435\u0441\u0442\u044c \u043d\u0435 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442 \u0438 \u043d\u0435 \u0443\u0431\u044b\u0432\u0430\u0435\u0442. <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-9 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"454\" height=\"412\" data-id=\"1371\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/144.png\" alt=\"\" class=\"wp-image-1371\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/144.png 454w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/144-300x272.png 300w\" sizes=\"auto, (max-width: 454px) 100vw, 454px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u0417\u0434\u0435\u0441\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043c\u043e\u043d\u043e\u0442\u043e\u043d\u043d\u043e \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442 \u0432 \u0442\u043e\u0447\u043a\u0435 \\(x=0\\), \u0437\u043d\u0430\u0447\u0438\u0442, \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u0435 \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0443\u043b\u044f. <\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u0430\u043a \u043a\u0430\u043a \\(f'(x)=0\\) \u043f\u0440\u0438 \\(x=0\\), \u0433\u0440\u0430\u0444\u0438\u043a II \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0430\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044e  \\(f(x)\\) \u043f\u0440\u0438 \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438 \\(n\\): <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-10 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"228\" data-id=\"1372\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/145-1024x228.png\" alt=\"\" class=\"wp-image-1372\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/145-1024x228.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/145-300x67.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/145-768x171.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/145.png 1452w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-11 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"474\" height=\"404\" data-id=\"1373\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/143-1.png\" alt=\"\" class=\"wp-image-1373\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/143-1.png 474w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/143-1-300x256.png 300w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \u0434\u043b\u044f \u0447\u0435\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f  \\(n\\) &#8212; \u0433\u0440\u0430\u0444\u0438\u043a III, \u0434\u043b\u044f \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f  \\(n\\) &#8212; \u0433\u0440\u0430\u0444\u0438\u043a II. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"><strong>(\u05d4)<\/strong><\/mark> \u0413\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438  \\(g(x)=a\\cdot f(x-2)\\) \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)\\) \u0441\u0434\u0432\u0438\u0433\u043e\u043c \u043d\u0430 2 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043f\u0440\u0430\u0432\u043e \u0432\u0434\u043e\u043b\u044c \u043e\u0441\u0438 \u0425 \u0438 \u0440\u0430\u0441\u0442\u044f\u0436\u0435\u043d\u0438\u0435\u043c \u0432 \u0434\u0432\u0430 \u0440\u0430\u0437\u0430 \u0432\u0434\u043e\u043b\u044c \u043e\u0441\u0438 Y. \u0421\u0434\u0432\u0438\u0433 \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u0434\u043e\u043b\u044c \u043e\u0441\u0438 \u0425 \u043d\u0435 \u0432\u043b\u0438\u044f\u0435\u0442 \u043d\u0430 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u0444\u0438\u0433\u0443\u0440\u044b, \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u043d\u043e\u0439 \u043c\u0435\u0436\u0434\u0443 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043e\u0441\u044c\u044e \u0425. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u041d\u044c\u0442\u043e\u043d\u0430 <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0414\u0430\u043b\u0435\u0435. \u0415\u0441\u043b\u0438 \\(F(x)\\) &#8212; \u043f\u0435\u0440\u0432\u043e\u043e\u0431\u0440\u0430\u0437\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)\\), \u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(a\\cdot F(x)\\) \u0431\u0443\u0434\u0435\u0442 \u043f\u0435\u0440\u0432\u043e\u043e\u0431\u0440\u0430\u0437\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(a\\cdot f(x)\\). \u041e\u0442\u0441\u044e\u0434\u0430, \u0435\u0441\u043b\u0438 \\(T\\) &#8212; \u043d\u0430 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u0444\u0438\u0433\u0443\u0440\u044b, \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u043d\u043e\u0439 \u043c\u0435\u0436\u0434\u0443 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(g(x)=a\\cdot f(x-2)\\) \u0438 \u043e\u0441\u044c\u044e \u0425, \u0442\u043e \\(\\frac{T}{a}\\) &#8212; \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u0444\u0438\u0433\u0443\u0440\u044b, \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u043d\u043e\u0439 \u043c\u0435\u0436\u0434\u0443 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)\\) \u0438 \u043e\u0441\u044c\u044e \u0425. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0442\u0432\u0435\u0442: \\(\\frac{T}{a}\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/div>\n\t\t\t<\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-1333","post","type-post","status-publish","format-standard","hentry","category-9"],"_links":{"self":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/1333","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1333"}],"version-history":[{"count":32,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/1333\/revisions"}],"predecessor-version":[{"id":1530,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/1333\/revisions\/1530"}],"wp:attachment":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1333"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1333"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1333"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}