{"id":27101,"date":"2021-03-23T13:00:50","date_gmt":"2021-03-23T13:00:50","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27101"},"modified":"2024-06-06T22:17:00","modified_gmt":"2024-06-06T22:17:00","slug":"%d8%a7%d9%84%d8%af%d9%88%d8%a7%d9%84-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d9%84%d9%84%d8%a3%d8%b9%d8%af%d8%a7%d8%af-%d8%a7%d9%84%d8%ad%d9%82%d9%8a%d9%82%d9%8a%d8%a9","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ar\/%d8%a7%d9%84%d8%af%d9%88%d8%a7%d9%84-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d9%84%d9%84%d8%a3%d8%b9%d8%af%d8%a7%d8%af-%d8%a7%d9%84%d8%ad%d9%82%d9%8a%d9%82%d9%8a%d8%a9\/","title":{"rendered":"\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px; text-align:center;\">\n<h1>\u0627\u0644\u062f\u0648\u0627\u0644 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\u0627\u0644\u062a\u0639\u0644\u0645<\/strong><\/p>\n<p>\u0639\u0646\u062f \u0627\u0644\u0627\u0646\u062a\u0647\u0627\u0621 \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align:left;\">\n        1. \u062a\u0639\u0631\u064a\u0641 \u0648\u0641\u0647\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0648\u062e\u0635\u0627\u0626\u0635\u0647\u0627. <br \/>\n        2. \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. <br \/>\n        3. \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0641\u064a \u0627\u0644\u0633\u064a\u0627\u0642\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0648\u0627\u0644\u0639\u0645\u0644\u064a\u0629.\n    <\/p>\n<p>    <strong>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a:<\/strong><\/p>\n<p>\n        <a href=\"#1\"><strong>1. \u0645\u0642\u062f\u0645\u0629<\/strong><\/a><br \/>\n        <a href=\"#2\"><strong>2. \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u061f<\/strong><\/a><br \/>\n        <a href=\"#3\"><strong>3. \u0623\u0646\u0648\u0627\u0639 \u0623\u062e\u0631\u0649 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644<\/strong><\/a>\n    <\/p>\n<p>    <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/dLHAQhMjuag\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2><strong>1. \u0645\u0642\u062f\u0645\u0629<\/strong><\/h2>\n<p style=\"text-align: justify; color: #000000;\">\n    <a href=\"https:\/\/www.youtube.com\/watch?v=dLHAQhMjuag&amp;t=173s\" target=\"_blank\" rel=\"noopener\"><br \/>\n        <strong><span style=\"color: #ff0000;\">\u064a\u0628\u062f\u0623 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0628\u0625\u062f\u062e\u0627\u0644 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a:<\/span><\/strong><\/a> \u0627\u0644\u0631\u0645\u0648\u0632 \u0627\u0644\u062a\u064a \u062a\u0645\u062b\u0644 \u0627\u0644\u0645\u0643\u0627\u0646 \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0648\u0636\u0639 \u0641\u064a\u0647 \u0631\u0642\u0645. \u062a\u0642\u0644\u064a\u062f\u064a\u064b\u0627\u060c \u062a\u064f\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062d\u0631\u0648\u0641 <span class=\"katex-eq\" data-katex-display=\"false\">x, y, z<\/span> \u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629\u060c \u0648\u0641\u064a \u0633\u064a\u0627\u0642\u0627\u062a \u0623\u062e\u0631\u0649 \u064a\u062a\u0645 \u062a\u0641\u0636\u064a\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">z<\/span> \u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0645\u0631\u0643\u0628\u0629. \u0643\u0645\u0627 \u0623\u0646\u0647 \u0645\u0646 \u0627\u0644\u0645\u0639\u062a\u0627\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0641\u0631\u0639\u064a\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0643\u062b\u064a\u0631\u0629. \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u062d\u0648\u060c <span class=\"katex-eq\" data-katex-display=\"false\">x_1, x_2, \\cdots , x_n<\/span> \u0647\u064a 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style=\"text-align: justify; color: #000000;\">\n    \u0641\u064a \u0627\u0644\u062d\u064a\u0627\u0629 \u0627\u0644\u064a\u0648\u0645\u064a\u0629\u060c \u062a\u064f\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u062a\u0646\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0633\u064a\u0627\u0642\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u062a\u064f\u0633\u062a\u062e\u062f\u0645 \u0641\u064a \u0627\u0644\u0625\u062f\u0627\u0631\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0641\u0648\u0627\u0626\u062f \u0648\u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a\u060c \u0648\u0641\u064a \u0639\u0644\u0645 \u0627\u0644\u062d\u0627\u0633\u0648\u0628 \u0644\u062a\u0637\u0648\u064a\u0631 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a\u060c \u0648\u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0644\u062a\u0635\u0645\u064a\u0645 \u0627\u0644\u0647\u064a\u0627\u0643\u0644 \u0648\u0627\u0644\u0623\u0646\u0638\u0645\u0629. \u0643\u0645\u0627 \u062a\u064f\u0639\u062f \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0648\u0627\u0644\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629\u060c \u062d\u064a\u062b \u062a\u0633\u0627\u0639\u062f \u0641\u064a \u062a\u0641\u0633\u064a\u0631 \u0648\u062a\u0648\u0642\u0639 \u0627\u0644\u0633\u0644\u0648\u0643\u064a\u0627\u062a \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629.\n<\/p>\n<p style=\"text-align: justify; color: #000000;\">\n    \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0644\u064a\u0633\u062a \u0641\u0642\u0637 \u062d\u062c\u0631 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0648\u0644\u0643\u0646\u0647\u0627 \u0623\u064a\u0636\u064b\u0627 \u0644\u0647\u0627 \u0645\u062c\u0645\u0648\u0639\u0629 \u0648\u0627\u0633\u0639\u0629 \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0624\u0643\u062f \u0639\u0644\u0649 \u0623\u0647\u0645\u064a\u062a\u0647\u0627 \u0648\u0641\u0627\u0626\u062f\u062a\u0647\u0627 \u0641\u064a \u0627\u0644\u0639\u0627\u0644\u0645 \u0627\u0644\u062d\u062f\u064a\u062b. \u0645\u0639 \u0641\u0647\u0645 \u0642\u0648\u064a \u0644\u0647\u0630\u0647 \u0627\u0644\u062f\u0648\u0627\u0644\u060c \u064a\u0645\u0643\u0646 \u0645\u0639\u0627\u0644\u062c\u0629 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0648\u062a\u0637\u0648\u064a\u0631 \u062d\u0644\u0648\u0644 \u0645\u0628\u062a\u0643\u0631\u0629 \u0641\u064a \u0645\u062e\u062a\u0644\u0641 \u0627\u0644\u0645\u062c\u0627\u0644\u0627\u062a.\n<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2><strong>2. \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u061f<\/strong><\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=dLHAQhMjuag&amp;t=242s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0647\u064a \u0646\u0648\u0639 \u062e\u0627\u0635 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644.<\/span><\/strong><\/a> \u0627\u0644\u062f\u0627\u0644\u0629 \u0647\u064a \u0642\u0627\u0646\u0648\u0646 \u0645\u0631\u0627\u0633\u0644\u0629 \u0628\u064a\u0646 \u0645\u062c\u0645\u0648\u0639\u062a\u064a\u0646 \u0646\u0639\u0628\u0651\u0631 \u0639\u0646\u0647 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0643\u062a\u0627\u0628\u0629:<\/p>\n<div dir=\"ltr\" style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">f: A\\longmapsto B<\/span><\/div>\n<p style=\"text-align: justify; color: #000000;\">\u062d\u064a\u062b <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0645\u062e\u0631\u062c\u0627\u062a.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0643\u0644 \u062f\u0627\u0644\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u0644\u0647\u0627\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c <strong>\u0645\u062c\u0627\u0644<\/strong> (<span class=\"katex-eq\" data-katex-display=\"false\">Dom(f)<\/span>) \u0648 <strong>\u0645\u062f\u0649<\/strong> (<span class=\"katex-eq\" data-katex-display=\"false\">Rec(f)<\/span>). \u0627\u0644\u0645\u062c\u0627\u0644 \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u0643\u0644 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062f\u062e\u0644\u0629 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u062c \u0646\u062a\u064a\u062c\u0629 \u0635\u0627\u0644\u062d\u0629\u060c \u0648\u0627\u0644\u0645\u062f\u0649 \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u0643\u0644 \u0627\u0644\u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0644\u0644\u062f\u0627\u0644\u0629. \u0627\u0644\u0645\u062f\u0649 \u064a\u064f\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 <strong>\u0635\u0648\u0631\u0629<\/strong>\u060c \u0648\u0627\u0644\u0645\u062c\u0627\u0644 \u064a\u064f\u0633\u0645\u0649 <strong>\u0623\u0635\u0644 \u0627\u0644\u0635\u0648\u0631\u0629.<\/strong> \u0639\u0646\u062f \u062a\u0639\u0631\u064a\u0641 \u062f\u0627\u0644\u0629\u060c \u064a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0645\u0639\u062a\u0627\u062f \u0623\u062d\u064a\u0627\u0646\u064b\u0627 \u0627\u0644\u0643\u062a\u0627\u0628\u0629 \u0628\u0623\u064a \u0645\u0646 \u0627\u0644\u0637\u0631\u064a\u0642\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646:<\/p>\n<div dir=\"ltr\" style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">f: Dom(f)\\subseteq A\\longmapsto Rec(f)\\subseteq B<\/span><\/div>\n<div dir=\"ltr\" style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">f: Dom(f)\\ \\longmapsto Rec(f)<\/span><\/div>\n<p style=\"text-align: justify; color: #000000;\">\n    \u0648\u0647\u0643\u0630\u0627\u060c \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u062a\u064f\u0643\u062a\u0628 \u0645\u0646 \u062d\u064a\u062b <strong>\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062c\u0628\u0631\u064a\u0629<\/strong> \u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a\u0647\u0627\u060c \u0645\u062b\u0644 \u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u0633\u0645\u0629 \u0648\u0627\u0644\u0623\u0633\u0633 \u0648\u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629. \u064a\u064f\u0642\u0627\u0644 \u0623\u064a\u0636\u064b\u0627 \u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0643\u0648\u0646 \u0630\u0627\u062a \u0645\u062a\u063a\u064a\u0631 \u062d\u0642\u064a\u0642\u064a \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0645\u062a\u063a\u064a\u0631\u0627\u062a\u0647\u0627 \u0628\u0623\u0639\u062f\u0627\u062f \u062d\u0642\u064a\u0642\u064a\u0629\u060c \u0648\u0630\u0627\u062a \u0645\u062a\u063a\u064a\u0631 \u0645\u0631\u0643\u0628 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0627\u0633\u062a\u0628\u062f\u0627\u0644\u0647\u0627 \u0628\u0623\u0639\u062f\u0627\u062f \u0645\u0631\u0643\u0628\u0629\u060c \u0648\u0647\u0643\u0630\u0627 \u0645\u0639 \u0623\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0639\u062f\u062f\u064a\u0629 \u0623\u062e\u0631\u0649. \u0643\u0645\u0627 \u064a\u0645\u0643\u0646 \u0627\u0644\u062d\u062f\u064a\u062b \u0639\u0646 \u062f\u0648\u0627\u0644 \u0630\u0627\u062a \u0645\u062a\u063a\u064a\u0631 \u0648\u0627\u062d\u062f \u0623\u0648 \u0627\u062b\u0646\u064a\u0646 \u0623\u0648 \u062b\u0644\u0627\u062b\u0629 \u0623\u0648 \u0639\u062f\u0629 \u0645\u062a\u063a\u064a\u0631\u0627\u062a\u060c \u062d\u0633\u0628\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0645\u062a\u063a\u064a\u0631 \u0648\u0627\u062d\u062f \u0623\u0648 \u0627\u062b\u0646\u064a\u0646 \u0623\u0648 \u062b\u0644\u0627\u062b\u0629 \u0623\u0648 \u0639\u062f\u0629 \u0645\u062a\u063a\u064a\u0631\u0627\u062a.\n<\/p>\n<h3>2.1. \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629<\/h3>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>\n        <a href=\"https:\/\/www.youtube.com\/watch?v=dLHAQhMjuag&amp;t=349s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0644\u0646\u0641\u0643\u0631 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629<\/span><\/strong><\/a><\/p>\n<div dir=\"ltr\" style=\"text-align: center; color: #000000;\">\n            <span class=\"katex-eq\" data-katex-display=\"false\">\\begin{matrix}\n\n            f : &amp; \\mathbb{R} &amp; \\longrightarrow &amp; \\mathbb{R} \\\\\n\n            &amp; x &amp; \\longmapsto &amp; f(x) =x^3 + 5x + \\displaystyle \\frac{6}{\\sqrt{x}} \\\\\n\n            \\end{matrix}\n\n            <\/span>\n        <\/div>\n<p style=\"text-align: justify; color: #000000;\">\n            \u0647\u0630\u0647 \u062f\u0627\u0644\u0629 \u062c\u0628\u0631\u064a\u0629 \u0630\u0627\u062a \u0645\u062a\u063a\u064a\u0631 \u062d\u0642\u064a\u0642\u064a \u0648\u0627\u062d\u062f. \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0645\u0628\u0627\u0634\u0631\u0629 \u0623\u0646\n        <\/p>\n<div dir=\"ltr\" style=\"text-align: center; color: #000000;\">\n            <span class=\"katex-eq\" data-katex-display=\"false\">Dom(f) = \\{x\\in\\mathbb{R}\\;|\\; x\\gt 0\\} = ]0, +\\infty[ <\/span>\n        <\/div>\n<p style=\"text-align: justify; color: #000000;\">\n            \u0647\u0630\u0627 \u0628\u0633\u0628\u0628 \u0639\u062f\u0645 \u0648\u062c\u0648\u062f \u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u0631 \u0648\u0644\u0623\u0646 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u064a\u0639\u0631\u0641 \u0641\u0642\u0637 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0627\u0644\u0645\u0648\u062c\u0628\u0629.\n        <\/p>\n<\/li>\n<li>\n        <a href=\"https:\/\/www.youtube.com\/watch?v=dLHAQhMjuag&amp;t=707s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0644\u0646\u0631\u0627\u062c\u0639 \u0627\u0644\u0622\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629<\/span><\/strong><\/a><\/p>\n<div dir=\"ltr\" style=\"text-align: center; color: #000000;\">\n            <span class=\"katex-eq\" data-katex-display=\"false\">\\begin{matrix}\n\n            f : &amp; \\mathbb{R}^2 &amp; \\longrightarrow &amp; \\mathbb{R} \\\\\n\n            &amp; (x,y) &amp; \\longmapsto &amp; f(x,y) =\\displaystyle \\frac{2xy + \\frac{3}{x^2}}{\\sqrt[3]{y-1}} \\\\\n\n            \\end{matrix}\n\n            <\/span>\n        <\/div>\n<p style=\"text-align: justify; color: #000000;\">\n            \u0647\u0630\u0647 \u062f\u0627\u0644\u0629 \u0630\u0627\u062a \u0645\u062a\u063a\u064a\u0631\u064a\u0646 \u062d\u0642\u064a\u0642\u064a\u064a\u0646 \u062a\u0639\u0637\u064a \u0646\u0627\u062a\u062c\u064b\u0627 \u062d\u0642\u064a\u0642\u064a\u064b\u0627. \u062a\u064f\u0639\u0631\u0641 \u0647\u0630\u0647 \u0623\u064a\u0636\u064b\u0627 \u0628\u0640 <strong>\u0645\u062c\u0627\u0644 \u0639\u062f\u062f\u064a.<\/strong> \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u064a\u062a\u062c\u0627\u0648\u0632 \u0646\u0637\u0627\u0642 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0644\u0643\u0646\u0647 \u0645\u0641\u064a\u062f \u062c\u062f\u064b\u0627 \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0644\u0648\u0635\u0641 \u0643\u0645\u064a\u0627\u062a \u0645\u062b\u0644 \u062f\u0631\u062c\u0629 \u0627\u0644\u062d\u0631\u0627\u0631\u0629 \u0623\u0648 \u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0643\u062b\u0627\u0641\u0629. \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0631\u0624\u064a\u0629 \u0645\u062c\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629 \u00ab\u0628\u0627\u0644\u0639\u064a\u0646 \u0627\u0644\u0645\u062c\u0631\u062f\u0629\u00bb.\n        <\/p>\n<div dir=\"ltr\" style=\"text-align: center; color: #000000;\">\n            <span class=\"katex-eq\" data-katex-display=\"false\">Dom(f) = \\{(x,y)\\in\\mathbb{R}^2\\;|\\; x \\neq 0 \\wedge y\\neq 1 \\}<\/span>\n        <\/div>\n<\/li>\n<\/ol>\n<h3>2.2. \u062a\u0639\u0644\u064a\u0642\u0627\u062a \u062d\u0648\u0644 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0648\u0627\u0644\u0645\u062f\u0649<\/h3>\n<p style=\"text-align: justify; color: #000000;\">\n    \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062f\u0649 \u0639\u0627\u062f\u0629\u064b \u0645\u0627 \u064a\u0643\u0648\u0646 \u0645\u0639\u0642\u062f\u064b\u0627. \u0633\u0646\u0631\u0649 \u0644\u0627\u062d\u0642\u064b\u0627 \u062a\u0642\u0646\u064a\u0627\u062a \u0633\u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0641\u0639\u0644 \u0630\u0644\u0643 \u0628\u0633\u0647\u0648\u0644\u0629\u060c \u062d\u062a\u0649 \u0641\u064a \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0628\u062f\u0648 \u0645\u0633\u062a\u062d\u064a\u0644\u0629 \u0645\u0646 \u0627\u0644\u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u062d\u062a\u0649 \u0645\u0639 \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u0642\u060c \u0633\u062a\u0638\u0644 \u0647\u0646\u0627\u0643 \u0645\u0634\u0627\u0643\u0644 \u0644\u0623\u0646 \u0628\u0639\u0636 \u0627\u0644\u0623\u062d\u064a\u0627\u0646 \u064a\u062a\u0637\u0644\u0628 \u062a\u0642\u0646\u064a\u0627\u062a \u062a\u062a\u062c\u0627\u0648\u0632 \u0646\u0637\u0627\u0642 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0645\u062b\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062d\u0631\u062c\u0629 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0642\u0635\u0648\u0649 \u0648\u0627\u0644\u062f\u0646\u064a\u0627 \u0641\u064a <strong>\u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644.<\/strong> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u062d\u062a\u0649 \u0628\u062f\u0648\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u060c \u0647\u0646\u0627\u0643 \u0627\u0644\u0643\u062b\u064a\u0631 \u0645\u0645\u0627 \u064a\u0645\u0643\u0646 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647\u060c \u0648\u0633\u0646\u0631\u0649 \u0647\u0630\u0647 \u0627\u0644\u0623\u0634\u064a\u0627\u0621 \u0641\u064a \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u0645\u0646\u0627\u0633\u0628.\n<\/p>\n<p style=\"text-align: justify; color: #000000;\">\n    \u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0632\u0627\u0644 \u0645\u0647\u062a\u0645\u064b\u0627 \u0628\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0645\u062f\u0649 \u0648\u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0647\u0630\u0647 \u0627\u0644\u062f\u0648\u0627\u0644\u060c \u064a\u0645\u0643\u0646\u0643 \u062f\u0627\u0626\u0645\u064b\u0627 \u0627\u0644\u0630\u0647\u0627\u0628 \u0625\u0644\u0649 Wolfram Alpha. \u0627\u062f\u062e\u0644 \u0625\u0644\u0649 <a href=\"https:\/\/www.wolframalpha.com\/\" rel=\"noopener, nofollow noopener\" target=\"_blank\">https:\/\/www.wolframalpha.com\/<\/a> \u0648\u062d\u0627\u0648\u0644 \u0646\u0633\u062e \u0648\u0644\u0635\u0642 \u0647\u0630\u0627:<\/p>\n<p>    <code>x^3 + 5x + \\dfrac{6}{\\sqrt{x}}<\/code><\/p>\n<p>\u0644\u062a\u0643\u0648\u064a\u0646 \u0641\u0643\u0631\u0629 \u0639\u0646 \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u0623\u0648\u0644. \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0627\u0646\u0633\u062e \u0648\u0627\u0644\u0635\u0642 \u0647\u0630\u0627:<\/p>\n<p>    <code>\\dfrac{2xy + \\dfrac{3}{x^2}}{\\sqrt[3]{y-1}}<\/code>\n<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2><strong>3. \u0623\u0646\u0648\u0627\u0639 \u0623\u062e\u0631\u0649 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644<\/strong><\/h2>\n<p style=\"text-align: justify; color: #000000;\">\n    <a href=\"https:\/\/www.youtube.com\/watch?v=dLHAQhMjuag&amp;t=1041s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062a\u064a \u0646\u062f\u0631\u0633\u0647\u0627 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629 \u064a\u0645\u0643\u0646 \u062a\u0642\u0633\u064a\u0645\u0647\u0627 \u0625\u0644\u0649 \u0646\u0648\u0639\u064a\u0646:<\/span><\/strong><\/a> \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062a\u0633\u0627\u0645\u064a\u0629. \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u060c \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627\u060c \u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u062a\u064f\u0643\u062a\u0628 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629\u060c \u0628\u064a\u0646\u0645\u0627 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062a\u0633\u0627\u0645\u064a\u0629 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0643\u062a\u0627\u0628\u062a\u0647\u0627 \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0623\u0648 \u062a\u062a\u0637\u0644\u0628 \u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u0639\u0645\u0644\u064a\u0627\u062a \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629. \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0625\u0644\u0649 \u0646\u0648\u0639\u064a\u0646: \u0627\u0644\u062f\u0648\u0627\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u063a\u064a\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. \u0627\u0644\u062f\u0627\u0644\u0629 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0623\u064a \u062f\u0627\u0644\u0629 \u064a\u0645\u0643\u0646 \u0643\u062a\u0627\u0628\u062a\u0647\u0627 \u0643\u0645\u062c\u0645\u0648\u0639 \u0623\u0648 \u0641\u0631\u0642 \u0645\u0646 \u0627\u0644\u0642\u0648\u0649. \u0634\u064a\u0621 \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0642\u0628\u064a\u0644:\n<\/p>\n<div dir=\"ltr\" style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(x) = \\sum_{i=0}^n a_i x^i = a_0 + a_1 x + a_2 x^2 + \\cdots + a_n x^n<\/span><\/div>\n<p style=\"text-align: justify; color: #000000;\">\n    \u0623\u064a \u062f\u0627\u0644\u0629 \u0644\u064a\u0633\u062a \u0628\u0647\u0630\u0627 \u0627\u0644\u0634\u0643\u0644 \u0647\u064a \u063a\u064a\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. \u0645\u0646 \u0628\u064a\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u063a\u064a\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u062a\u0628\u0631\u0632 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0648\u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0643\u062a\u0627\u0628\u062a\u0647\u0627 \u0643\u0646\u0633\u0628\u0629 \u0628\u064a\u0646 \u062f\u0627\u0644\u062a\u064a\u0646 \u0643\u062b\u064a\u0631\u062a\u064a \u0627\u0644\u062d\u062f\u0648\u062f.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0645\u0644\u062e\u0635: \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u0646\u0633\u062a\u0643\u0634\u0641 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u060c \u062a\u0639\u0631\u064a\u0641\u0647\u0627\u060c \u062e\u0635\u0627\u0626\u0635\u0647\u0627 \u0648\u062a\u0637\u0628\u064a\u0642\u0627\u062a\u0647\u0627. \u0647\u0630\u0647 \u0627\u0644\u062f\u0648\u0627\u0644 \u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062a\u0639\u062f\u062f\u0629 \u0645\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0644\u0647\u0627 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0639\u0645\u0644\u064a\u0629 \u0648\u0627\u0633\u0639\u0629. \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645 \u0639\u0646\u062f \u0627\u0644\u0627\u0646\u062a\u0647\u0627\u0621 \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649: 1. \u062a\u0639\u0631\u064a\u0641 \u0648\u0641\u0647\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0648\u062e\u0635\u0627\u0626\u0635\u0647\u0627. 2. \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649 \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. 3. \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0641\u064a \u0627\u0644\u0633\u064a\u0627\u0642\u0627\u062a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":27079,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":54,"footnotes":""},"categories":[581,565],"tags":[],"class_list":["post-27101","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-581","category-565"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0627\u0643\u062a\u0634\u0641 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 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