{"id":2079,"date":"2025-01-20T14:31:03","date_gmt":"2025-01-20T11:31:03","guid":{"rendered":"https:\/\/currconv.ru\/blog\/7639-2\/"},"modified":"2025-01-20T14:31:03","modified_gmt":"2025-01-20T11:31:03","slug":"7639","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/7639\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u211670 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 12"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0442\u043e\u0447\u043a\u0443 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">y=(x+8)^2 \\cdot e^{3-x}<\/span>.<\/p>\n<p><a href=\"javascript:void(0);\"><\/a><\/p>\n<p><span id=\"more-7639\"><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/h2>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f <span class=\"katex-eq\" data-katex-display=\"false\"> (uv)&#8217;=u&#8217;v+uv&#8217;<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">(e^u)&#8217;=e^u u&#8217;<\/span>:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\"> \\displaystyle y&#8217;=((x+8)^2)&#8217; \\cdot e^{3-x}+(x+8)^2 \\cdot (e^{3-x})&#8217;=<\/span><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle 2(x+8) \\cdot e^{3-x}-(x+8)^2 \\cdot (e^{3-x})=<\/span><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle e^{3-x}(2x+16-(x^2+16x+64))=<\/span><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle e^{3-x}(-x^2-14x-48))<\/span>.<\/p>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a \u043d\u0443\u043b\u044e:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\"> \\displaystyle e^{3-x}(-x^2-14x-48))=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">e^{3-x}=0<\/span> \u0438\u043b\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">-x^2-14x-48=0<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">e^{3-x}=0<\/span> &#8211; \u0432\u0441\u0435\u0433\u0434\u0430 \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0443\u043b\u044f.<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">-x^2-14x-48=0;<\/span><\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">D=b^2-4ac=196-4\\cdot -1\\cdot -48=4;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\displaystyle x_1=\\frac{14-2}{-2}=-6;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\displaystyle x_1=\\frac{14+2}{-2}=-8.<\/span><\/p>\n<p>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u0437\u043d\u0430\u043a\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u0438\u0437\u043e\u0431\u0440\u0430\u0437\u0438\u043c \u043d\u0430 \u0440\u0438\u0441\u0443\u043d\u043a\u0435 \u043f\u043e\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"606\" height=\"210\" src=\"https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2023\/10\/image-42.png\" alt=\"\" class=\"wp-image-7643\" srcset=\"https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2023\/10\/image-42.png 606w, https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2023\/10\/image-42-300x104.png 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/figure>\n<p>\u0422\u043e\u0447\u043a\u0430 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 &#8211; \u0442\u043e\u0447\u043a\u0430, \u0433\u0434\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043c\u0435\u043d\u044f\u0435\u0442 \u0441\u0432\u043e\u0439 \u0437\u043d\u0430\u043a \u0441 \u043f\u043b\u044e\u0441\u0430 \u043d\u0430 \u043c\u0438\u043d\u0443\u0441. \u0412 \u043d\u0430\u0448\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0442\u043e\u0447\u043a\u0430 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">-6<\/span>.<\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">-6<\/span>.<span class=\"MathJax\" id=\"MathJax-Element-4-Frame\" tabindex=\"0\" style=\"\"><nobr><span class=\"math\" id=\"MathJax-Span-24\" style=\"width: 1.2em; display: inline-block;\"><span style=\"display: inline-block; overflow: hidden; vertical-align: -0.053em; border-left: 0px solid; width: 0px; height: 0.892em;\"><\/span><\/span><\/nobr><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<p><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong> \u0414\u0435\u043c\u043e\u0432\u0435\u0440\u0441\u0438\u044f \u0415\u0413\u042d \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 2024. \u041f\u0440\u043e\u0444\u0438\u043b\u044c\u043d\u044b\u0439 \u0443\u0440\u043e\u0432\u0435\u043d\u044c (\u0417\u0430\u0434\u0430\u043d\u0438\u0435 12. \u041f\u0440\u0438\u043c\u0435\u0440 2)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0442\u043e\u0447\u043a\u0443 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 y=(x+8)^2 \\cdot e^{3-x}. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u041d\u0430\u0439\u0434\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f (uv)&#8217;=u&#8217;v+uv&#8217; \u0438 (e^u)&#8217;=e^u u&#8217;: \\displaystyle y&#8217;=((x+8)^2)&#8217; \\cdot e^{3-x}+(x+8)^2 \\cdot (e^{3-x})&#8217;= \\displaystyle 2(x+8) \\cdot e^{3-x}-(x+8)^2 \\cdot (e^{3-x})= \\displaystyle e^{3-x}(2x+16-(x^2+16x+64))= \\displaystyle e^{3-x}(-x^2-14x-48)). \u041d\u0430\u0439\u0434\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a \u043d\u0443\u043b\u044e: \\displaystyle e^{3-x}(-x^2-14x-48))=0; e^{3-x}=0 \u0438\u043b\u0438 -x^2-14x-48=0 e^{3-x}=0 &#8211; [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[42],"tags":[],"class_list":["post-2079","post","type-post","status-publish","format-standard","hentry","category-zadanie12_profil"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2079","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/comments?post=2079"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2079\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=2079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=2079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=2079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}