{"id":385,"date":"2023-07-03T18:53:21","date_gmt":"2023-07-03T18:53:21","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d9%84%d9%88%d8%ba%d8%a7%d8%b1%d9%8a%d8%aa%d9%85%d9%8a%d8%a9-%d8%a7%d9%84%d9%84%d9%88%d8%ba%d8%a7%d8%b1%d9%8a%d8%aa%d9%85-%d8%a7\/"},"modified":"2023-07-03T18:53:21","modified_gmt":"2023-07-03T18:53:21","slug":"%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d9%84%d9%88%d8%ba%d8%a7%d8%b1%d9%8a%d8%aa%d9%85%d9%8a%d8%a9-%d8%a7%d9%84%d9%84%d9%88%d8%ba%d8%a7%d8%b1%d9%8a%d8%aa%d9%85-%d8%a7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d9%84%d9%88%d8%ba%d8%a7%d8%b1%d9%8a%d8%aa%d9%85%d9%8a%d8%a9-%d8%a7%d9%84%d9%84%d9%88%d8%ba%d8%a7%d8%b1%d9%8a%d8%aa%d9%85-%d8%a7\/","title":{"rendered":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u062f\u0627\u0644\u0629 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0641\u064a \u0623\u064a \u0642\u0627\u0639\u062f\u0629 (\u0635\u064a\u063a\u0629). \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u062a\u062e\u062a\u0644\u0641 \u0635\u064a\u063a\u0629 \u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0637\u0628\u064a\u0639\u064a\u064b\u0627 (\u0645\u0639 \u0627\u0644\u0623\u0633\u0627\u0633 e) \u0623\u0648 \u0642\u0627\u0639\u062f\u0629 \u0623\u062e\u0631\u0649<\/strong> . \u0644\u0630\u0644\u0643\u060c \u0633\u0646\u0631\u0649 \u0623\u0648\u0644\u0627\u064b \u0627\u0644\u0635\u064a\u063a\u062a\u064a\u0646 \u0645\u0646\u0641\u0635\u0644\u062a\u064a\u0646 \u0645\u0639 \u0645\u062b\u0627\u0644 \u0644\u0643\u0644 \u062d\u0627\u0644\u0629\u060c \u0648\u0628\u0639\u062f \u0630\u0644\u0643 \u0633\u0646\u0642\u0648\u0645 \u0628\u062a\u0644\u062e\u064a\u0635 \u0627\u0644\u0642\u0627\u0639\u062f\u062a\u064a\u0646. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivada-de-un-logaritmo-natural-o-neperiano\"><\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0623\u0648 \u0627\u0644\u0637\u0628\u064a\u0639\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a (\u0623\u0648 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a) \u0647\u0648 \u062d\u0627\u0635\u0644 \u0642\u0633\u0645\u0629 \u0645\u0634\u062a\u0642\u0629 \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0639\u0644\u0649 \u062f\u0627\u0644\u0629 \u0627\u0644\u0648\u0633\u064a\u0637\u0629.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-491d95a8a33d226da4fc5d62a8e70f61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646\u0637\u0642\u064a\u064b\u0627\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u062f\u0627\u062e\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0647\u064a \u062f\u0627\u0644\u0629 \u0627\u0644\u0647\u0648\u064a\u0629\u060c \u0641\u0633\u064a\u0628\u0642\u0649 1 \u0641\u064a \u0628\u0633\u0637 \u0627\u0644\u0645\u0634\u062a\u0642\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1519db0b90e430fab54b04113c435118_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"331\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0630\u064a \u062a\u0645 \u0641\u064a\u0647 \u062d\u0644 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0640 3x:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-420e2f2cb107eb22019157bcb76c5645_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(3x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{3}{3x}=\\cfrac{1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"384\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0647\u0648 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0642\u0627\u0639\u062f\u062a\u0647 \u0647\u0648 \u0627\u0644\u0631\u0642\u0645 e (\u0631\u0642\u0645 \u0623\u0648\u064a\u0644\u0631). <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d5698ad2315473c75950453c15326f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ln(x)=\\log_e(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivada-de-un-logaritmo-en-base-a\"><\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0639\u0644\u0649 \u0623\u0633\u0627\u0633<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0644\u0623\u064a \u0642\u0627\u0639\u062f\u0629 \u064a\u0633\u0627\u0648\u064a 1 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0645\u0646\u062a\u062c x \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0623\u0633\u0627\u0633 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0623\u0635\u0644\u064a.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b37542882d2bccf84707a3341af5813_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x\\cdot\\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u0625\u0630\u0627 \u0637\u0628\u0642\u0646\u0627 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629\u060c \u0641\u0625\u0646 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fac5d7501d02d27d74a95272a64e756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0630\u0648 \u0627\u0644\u0623\u0633\u0627\u0633 2 \u0644\u0640 x \u062a\u0631\u0628\u064a\u0639 \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e934db01ce50b0ef6f597d5952637cfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_2(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2x}{x^2\\cdot\\ln(2)}=\\cfrac{2}{x\\ln(2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"488\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-una-funcion-logaritmica\"><\/span> \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0648\u0645\u062a\u063a\u064a\u0631\u064a\u0647\u0627 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u064a\u0646\u060c \u0625\u0644\u064a\u0643 \u0645\u0644\u062e\u0635 \u0644\u0644\u0635\u064a\u063a\u062a\u064a\u0646 \u0644\u062a\u0633\u0647\u064a\u0644 \u062a\u0630\u0643\u0631\u0647\u0627. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-logarithmique-derivee.webp\" alt=\"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0648\u0638\u064a\u0641\u0629 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629\" class=\"wp-image-1842\" width=\"395\" height=\"279\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-derivadas-de-funciones-logaritmicas\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0633\u062a\u0646\u062a\u062c \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8118283c3444e6c13b9aefdf0d8a11aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log(3x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"121\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0644\u0627 \u0628\u062f \u0645\u0646 \u062d\u0644 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0628\u0627\u0644\u0623\u0633\u0627\u0633 \u0627\u0644\u0639\u0634\u0631\u064a\u060c \u0644\u0630\u0627 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fac5d7501d02d27d74a95272a64e756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0641\u064a \u0627\u0644\u0623\u0633\u0627\u0633 10 \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f340fe2c5f62e4f0c4499aca10845cf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log(3x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{6x}{3x^2\\cdot \\ln(10)}=\\cfrac{2}{x \\ln(10)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"516\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0644\u064a\u0633 \u0644\u0647 \u0623\u0633\u0627\u0633\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0623\u0633\u0627\u0633\u0647 \u0647\u0648 10.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0634\u062a\u0642 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a (\u0623\u0648 \u0627\u0644\u0637\u0628\u064a\u0639\u064a) \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a44fc37965c07092cdfa5cb2679a8b8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln\\left(x^3+4x^2\\right)^5\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"165\" style=\"vertical-align: -7px;\"><\/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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062f\u0627\u0644\u0629 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0647\u064a \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0637\u0628\u064a\u0639\u064a\u060c \u0644\u0630\u0627 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-491d95a8a33d226da4fc5d62a8e70f61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0647\u0648: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fc06150c0093afdd84076e69171b7d38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=\\cfrac{5\\left(x^3+4x^2\\right)^4\\cdot (3x^2+8x)}{\\left(x^3+4x^2\\right)^5}\\\\[2ex] &amp;=\\cfrac{5\\cdot (3x^2+8x)}{x^3+4x^2}\\\\[2ex] &amp;=\\cfrac{15x^2+40x}{x^3+4x^2}\\\\[2ex] &amp;=\\cfrac{15x+40}{x^2+4x}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"245\" width=\"261\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0634\u062a\u0642 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5682f4fd6180c07879cfe9fb6a4b2583_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_7(x^5+7x^2-3x+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"239\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u0631\u064a\u0646\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u0644\u0627\u0635 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0644\u0644\u0623\u0633\u0627\u0633 7\u060c \u0644\u0630\u0644\u0643 \u0633\u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fac5d7501d02d27d74a95272a64e756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-182fbf09950c4930013d2f863888bdd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{5x^4+14x-3}{(x^5+7x^2-3x+1)\\cdot \\ln(7)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"267\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u0639 \u0627\u0644\u0643\u0633\u0631: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-218d7543ba82562bbf91b5f4e0ca3f1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\log_4\\left(\\frac{5x}{8x^2-1}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"176\" style=\"vertical-align: -17px;\"><\/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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0644 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2d0cedfe8d0bd4de138099938b10e39f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_4(5x)-\\log_4(8x^2-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0645\u0631\u062a\u064a\u0646\u060c \u0644\u0643\u0646 \u062d\u0633\u0627\u0628 \u0643\u0644\u0627 \u0627\u0644\u0645\u0634\u062a\u0642\u062a\u064a\u0646 \u0623\u0633\u0647\u0644.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fac5d7501d02d27d74a95272a64e756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0647\u0648: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-85874bff9f3259727a78b50aece1f1e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=\\cfrac{5}{5x\\cdot \\ln(4)}-\\cfrac{16x}{(8x^2-1)\\cdot \\ln(4)}\\\\[2ex]&amp;=\\cfrac{1}{x\\ln(4)}-\\cfrac{16x}{(8x^2-1)\\ln(4)}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"111\" width=\"279\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 5<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0630\u0627\u062a \u062c\u0630\u0631 \u0648\u0627\u062d\u062f: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9518b9623edc80e9f5de230edb5e573c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln\\left(\\sqrt[4]{\\text{cos}(9x)}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"170\" style=\"vertical-align: -11px;\"><\/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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u064b\u0627\u060c \u0633\u0646\u0642\u0648\u0645 \u0628\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-95cc0f73a05b0cde647035b17d0fed60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln\\left(\\text{cos}(9x)\\right)^{\\frac{1}{4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"154\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fac1c4306bdc844dc069a28c995e5dee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{1}{4}\\ln\\left(\\text{cos}(9x)\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"161\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u062c\u0631\u062f \u0625\u0632\u0627\u0644\u0629 \u0627\u0644\u062c\u0630\u0631 \u0645\u0646 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u0646\u0633\u062a\u062e\u062f\u0645 \u0642\u0627\u0639\u062f\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-491d95a8a33d226da4fc5d62a8e70f61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0644\u0645\u0631\u0643\u0628\u0629 \u0647\u0648: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-440b871bd7321bb0121db9a588adde6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)&amp;=\\cfrac{1}{4}\\cdot \\cfrac{-\\text{sen}(9x)\\cdot 9}{\\text{cos}(9x)}=\\cfrac{-9\\text{sen}(9x)}{4\\text{cos}(9x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"304\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0641\u064a \u0623\u064a \u0642\u0627\u0639\u062f\u0629 (\u0635\u064a\u063a\u0629). \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629. \u062a\u062e\u062a\u0644\u0641 \u0635\u064a\u063a\u0629 \u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0637\u0628\u064a\u0639\u064a\u064b\u0627 (\u0645\u0639 \u0627\u0644\u0623\u0633\u0627\u0633 e) \u0623\u0648 \u0642\u0627\u0639\u062f\u0629 \u0623\u062e\u0631\u0649 . \u0644\u0630\u0644\u0643\u060c \u0633\u0646\u0631\u0649 \u0623\u0648\u0644\u0627\u064b \u0627\u0644\u0635\u064a\u063a\u062a\u064a\u0646 \u0645\u0646\u0641\u0635\u0644\u062a\u064a\u0646 \u0645\u0639 \u0645\u062b\u0627\u0644 \u0644\u0643\u0644 \u062d\u0627\u0644\u0629\u060c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d9%84%d9%88%d8%ba%d8%a7%d8%b1%d9%8a%d8%aa%d9%85%d9%8a%d8%a9-%d8%a7%d9%84%d9%84%d9%88%d8%ba%d8%a7%d8%b1%d9%8a%d8%aa%d9%85-%d8%a7\/\"> <span class=\"screen-reader-text\">\u0645\u0634\u062a\u0642 \u0645\u0646 \u062f\u0627\u0644\u0629 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &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-385","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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