{"id":405,"date":"2023-07-03T00:18:18","date_gmt":"2023-07-03T00:18:18","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%b4%d8%aa%d9%82%d8%a7%d8%aa\/"},"modified":"2023-07-03T00:18:18","modified_gmt":"2023-07-03T00:18:18","slug":"%d8%a7%d9%84%d9%85%d8%b4%d8%aa%d9%82%d8%a7%d8%aa","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%b4%d8%aa%d9%82%d8%a7%d8%aa\/","title":{"rendered":"\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0646\u0648\u0636\u062d \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u0644\u0627\u0635 \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641. \u0633\u062a\u062c\u062f \u0627\u0644\u0635\u064a\u063a \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0645\u0635\u062d\u0648\u0628\u0629 \u0628\u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u062f\u0631\u064a\u0628\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formules-derivees.webp\" alt=\"\u0627\u0644\u0635\u064a\u063a \u0627\u0644\u0645\u0634\u062a\u0642\u0629\" class=\"wp-image-2945\" width=\"226\" height=\"226\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-derivadas\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0629\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a<\/strong> \u0647\u064a \u0642\u0648\u0627\u0639\u062f \u0631\u064a\u0627\u0636\u064a\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0648\u0638\u0627\u0626\u0641. \u0639\u0644\u0649 \u0648\u062c\u0647 \u0627\u0644\u062e\u0635\u0648\u0635\u060c <strong>\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627<\/strong> \u0647\u064a \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0648\u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0633\u0644\u0648\u0643 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0627\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u0623\u0648\u0644\u064a\u0629 <em>&#8216;<\/em> \u060c \u0623\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 <em>f'(x)<\/em> \u0647\u064a \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 <em>f(x)<\/em> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u062f\u0633\u064a\u064b\u0627\u060c \u0645\u0639\u0646\u0649 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0647\u0648 \u0645\u064a\u0644 \u0645\u0645\u0627\u0633 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-de-la-tangente-ligne.webp\" alt=\"\u0645\u0639\u0646\u0649 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a\" class=\"wp-image-2306\" width=\"392\" height=\"391\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629<\/strong> \u0647\u0648 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-dc1699622d128f888c1f20599aeccf60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{f(x+h)-f(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"219\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0644\u0627 \u064a\u062a\u0645 \u0639\u0627\u062f\u0629\u064b \u062d\u0633\u0627\u0628 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0623\u0639\u0644\u0627\u0647\u060c \u0648\u0644\u0643\u0646 \u062a\u0646\u0637\u0628\u0642 \u0642\u0648\u0627\u0639\u062f \u0627\u0644\u062a\u0645\u0627\u064a\u0632 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0646\u0648\u0639 \u0627\u0644\u062f\u0627\u0644\u0629. \u064a\u062a\u0645 \u0634\u0631\u062d \u062c\u0645\u064a\u0639 \u0635\u064a\u063a \u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0623\u062f\u0646\u0627\u0647.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formulas-de-las-derivadas\"><\/span>\u0627\u0644\u0635\u064a\u063a \u0627\u0644\u0645\u0634\u062a\u0642\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0639\u062f \u0627\u0644\u0627\u0637\u0644\u0627\u0639 \u0639\u0644\u0649 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0633\u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u0635\u0646\u0639\u0647\u0627\u060c \u0645\u0639 \u0634\u0631\u062d \u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0628\u0645\u062b\u0627\u0644. \u0627\u0644\u0647\u062f\u0641 \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0645\u0646\u0634\u0648\u0631 \u0647\u0648 \u0623\u0646 \u062a\u0641\u0647\u0645 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u062c\u064a\u062f\u064b\u0627\u060c \u0644\u0630\u0644\u0643 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0643 \u0641\u064a \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0623\u064a \u0634\u0643\u0648\u0643 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u064a\u0645\u0643\u0646\u0643 \u0623\u0646 \u062a\u0633\u0623\u0644\u0646\u0627 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u064a\u0642\u0627\u062a.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivada-de-una-constante\"><\/span>\u0645\u0634\u062a\u0642\u0629 \u0645\u0646 \u062b\u0627\u0628\u062a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0628\u062a<\/strong> \u062a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0635\u0641\u0631\u064b\u0627\u060c \u0628\u063a\u0636 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0642\u064a\u0645\u0629 \u0627\u0644\u062b\u0627\u0628\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-c7bd8f1aee171f251c313218820e22f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      f(x)=k \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=0 \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0644\u0625\u064a\u062c\u0627\u062f \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u062b\u0627\u0628\u062a\u0629\u060c \u0644\u064a\u0633\u062a \u0647\u0646\u0627\u0643 \u062d\u0627\u062c\u0629 \u0644\u0625\u062c\u0631\u0627\u0621 \u0623\u064a \u0639\u0645\u0644\u064a\u0627\u062a \u062d\u0633\u0627\u0628\u064a\u0629\u060c \u0641\u0642\u0637 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0647\u064a \u0635\u0641\u0631.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0644\u0642\u0650 \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062b\u0648\u0627\u0628\u062a: <\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-561a1b2c2b0347c0cb38ed7565e46fa7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=3 \\qquad \\longrightarrow\\qquad f'(x)=0\\\\[3ex]g(x)=-5 \\qquad \\longrightarrow\\qquad g'(x)=0\\\\[3ex]h(x)=291 \\qquad \\longrightarrow\\qquad h'(x)=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"265\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivada-de-una-funcion-lineal\"><\/span> \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u062e\u0637\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062e\u0637\u064a\u0629<\/strong> \u0647\u0648 \u0645\u0639\u0627\u0645\u0644 \u062d\u062f \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0623\u064a \u0623\u0646 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 <em>f(x)=Ax+B<\/em> \u062a\u0633\u0627\u0648\u064a <em>A<\/em><\/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-c55a9a25283e37ab61dc79856ee92a11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      f(x)=Ax+B\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=A \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0644\u0642\u0650 \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0643\u064a\u0641\u064a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641: <\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-53d0d8c8814ef6884b442c3c50cce8a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=3x-1\\quad\\longrightarrow\\quad f'(x)=3\\\\[3ex]f(x)=5x\\quad\\longrightarrow\\quad f'(x)=5\\\\[3ex] f(x)=-2x+9\\quad\\longrightarrow\\quad f'(x)=-2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivada-de-una-potencia\"><\/span> \u0645\u0634\u062a\u0642\u0629 \u0645\u0646 \u0642\u0648\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0642\u0648\u0629<\/strong> \u060c \u0623\u0648 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629\u060c \u0647\u064a \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0623\u0633 \u0627\u0644\u0642\u0648\u0629 \u0641\u064a \u0627\u0644\u0642\u0627\u0639\u062f\u0629 \u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0633 \u0646\u0627\u0642\u0635 1.<\/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-1e7df9c631129b040e262f67f36b41be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      f(x)=x^k \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=k\\cdot x^{k-1} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0642\u0648\u0629\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0636\u0631\u0628 \u0627\u0644\u062f\u0627\u0644\u0629 \u0641\u064a \u0627\u0644\u0623\u0633 \u0648\u0637\u0631\u062d \u0648\u062d\u062f\u0629 \u0648\u0627\u062d\u062f\u0629 \u0645\u0646 \u0627\u0644\u0623\u0633.<\/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\u0642\u0648\u0629 x \u0627\u0644\u062a\u0643\u0639\u064a\u0628\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-0c0dd56d2e4a99c896f5e035d51f80be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^3 \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=3\\cdot x^{3-1}=3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"404\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0623\u062f\u0627\u0621 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 (\u0648\u0627\u0644\u0623\u0643\u062b\u0631 \u0635\u0639\u0648\u0628\u0629) \u0644\u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0647\u0646\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u0648\u0638\u064a\u0641\u0629-\u0627\u0644\u0637\u0627\u0642\u0629-\u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629\/\">\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0642\u0648\u0629<\/a><\/span><\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivada-de-una-raiz\"><\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"> <strong>\u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631\u060c<\/strong> \u0623\u0648 \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629\u060c \u064a\u0633\u0627\u0648\u064a \u0648\u0627\u062d\u062f\u064b\u0627 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0645\u0624\u0634\u0631 \u0627\u0644\u062c\u0630\u0631 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u062c\u0630\u0631\u060c \u0645\u0637\u0631\u0648\u062d\u064b\u0627 \u0645\u0646\u0647 1 \u0645\u0646 \u0623\u0633 \u0627\u0644\u062c\u0630\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-8b8e85735674a043d4fb2c448038ceb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1pt, boxsep=1.5mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      f(x)=\\sqrt[n]{x}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{1}{n\\sqrt[n]{x^{n-1}}} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/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 \u0623\u062f\u0646\u0627\u0647 \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u062d\u0644 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u0640 x:<\/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-5e879d493e8b67755617d2aed1743cde_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{x}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{1}{2\\sqrt{x^{2-1}}}=\\cfrac{1}{2\\sqrt{x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"425\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u062f\u0627\u0644\u0629-\u062c\u0630\u0631\u064a\u0629-\u063a\u064a\u0631-\u0639\u0642\u0644\u0627\u0646\u064a\u0629\/\">\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631<\/a><\/span> <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivada-de-una-funcion-exponencial\"><\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0639\u062a\u0645\u062f <strong>\u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629<\/strong> \u0639\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0623\u0633\u0627\u0633 \u0647\u0648 \u0627\u0644\u0631\u0642\u0645 <em>e<\/em> \u0623\u0648 \u0631\u0642\u0645 \u0622\u062e\u0631. \u0644\u0630\u0644\u0643 \u0647\u0646\u0627\u0643 \u0635\u064a\u063a\u062a\u0627\u0646 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0648\u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u064a \u062a\u062a\u0648\u0627\u0641\u0642 \u0648\u0641\u0642\u064b\u0627 \u0644\u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0637\u0627\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-c21e61c79c41a4f27d53a41495521bdd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1pt, boxsep=1.8mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\begin{array}{l}f(x)=a^x \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=a^x\\cdot \\ln(a)\\\\[3ex] f(x)=e^x \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^x \\end{array} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0643 \u0623\u062f\u0646\u0627\u0647 \u0631\u0624\u064a\u0629 \u0645\u0634\u062a\u0642\u062a\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0645\u0627 \u0644\u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641: <\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-90bd19942de37daaf7af04179eaf5e91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=7^{x} \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=7^x\\cdot \\ln(7)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"364\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-71dd62c13ea22caa62fb0e8af338fbdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{x} \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"312\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u0627\u0644\u062f\u0627\u0644\u0629-\u0627\u0644\u0627\u0654\u0633\u064a\u0629\/\">\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629<\/a><\/span> <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivada-de-una-funcion-logaritmica\"><\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u062f\u0627\u0644\u0629 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0639\u062a\u0645\u062f <strong>\u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629<\/strong> \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u060c \u0644\u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0637\u0628\u064a\u0639\u064a\u064b\u0627\u060c \u0641\u064a\u062c\u0628 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0634\u062a\u0642 \u0648\u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0631\u0642\u0645 \u0622\u062e\u0631 \u0643\u0623\u0633\u0627\u0633 \u0644\u0647\u060c \u0641\u064a\u062c\u0628 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0623\u062e\u0631\u0649.<\/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-d384075ba6ad6dcfaf82949d33ad397b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1pt, boxsep=1.8mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\begin{array}{l}f(x)=\\ln(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x}\\\\[3ex] f(x)=\\log_a(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x\\cdot\\ln(a)}\\end{array} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/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 \u062b\u0644\u0627\u062b\u064a \u0627\u0644\u0623\u0633\u0627\u0633 \u0644\u0640 x \u0647\u0648:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-e61ac2c2f66f8b05dce8760bdec17d09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_3(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x\\cdot\\ln(3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u0648\u0638\u064a\u0641\u0629-\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629-\u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645-\u0627\u0644\u0637\u0628\u064a\u0639\u064a-neperian\/\">\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u062f\u0627\u0644\u0629 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629<\/a><\/span><\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivadas-trigonometricas\"><\/span>\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629<\/strong> \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0647\u064a \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628\u060c \u0648\u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0648\u062f\u0627\u0644\u0629 \u0627\u0644\u0638\u0644\u060c \u0648\u0635\u064a\u063a\u0647\u0627 \u0643\u0645\u0627 \u064a\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-a9e9d0157c2b1eb994571ba96aae4f26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1pt, boxsep=1.8mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\begin{array}{l}f(x)=\\text{sen}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(x)\\\\[2.5ex] f(x)=\\text{cos}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{sen}(x)\\\\[1.1ex]f(x)=\\text{tan}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{\\text{cos}^2(x)}\\end{array} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646\u0637\u0642\u064a\u064b\u0627\u060c \u0647\u0646\u0627\u0643 \u0639\u062f\u0629 \u0623\u0646\u0648\u0627\u0639 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u060c \u0645\u062b\u0644 \u0627\u0644\u0642\u0627\u0637\u0639\u060c \u0648\u0642\u0627\u0637\u0639 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0648\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629\u060c \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u060c \u0648\u0645\u0627 \u0625\u0644\u0649 \u0630\u0644\u0643. \u0644\u0643\u0646 \u0627\u0644\u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0623\u0643\u062b\u0631 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u064b\u0627 \u0644\u0644\u0627\u0646\u062c\u0631\u0627\u0641 \u0647\u064a \u0627\u0644\u0642\u0648\u0627\u0639\u062f \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0623\u0639\u0644\u0627\u0647.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"reglas-de-derivacion\"><\/span> \u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0625\u062d\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627 \u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0639 \u0627\u0644\u062f\u0648\u0627\u0644\u060c \u064a\u062a\u0645 \u062d\u0644 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0628\u0634\u0643\u0644 \u0645\u062e\u062a\u0644\u0641. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <strong>\u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642<\/strong> \u060c \u0627\u0644\u062a\u064a \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0642\u0633\u0645\u0629 \u0627\u0644\u062f\u0648\u0627\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-ba4f3225344df68c84b4437ecb0c7536_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\begin{array}{l}z(x)=f(x)\\pm g(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} z'(x)=f'(x)\\pm g'(x)\\\\[4ex] z(x)=f(x)\\cdot g(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} z'(x)=f'(x)\\cdot g(x)+f(x)\\cdot g'(x)\\\\[4ex]z(x)=\\cfrac{f(x)}{g(x)} \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} z'(x)=\\cfrac{f'(x)\\cdot g(x)-f(x)\\cdot g'(x)}{\\bigl(g(x)\\bigr)^2}\\end{array} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u062b\u0645\u060c \u0644\u062d\u0644 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0628\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0644\u0627 \u0646\u062d\u062a\u0627\u062c \u0641\u0642\u0637 \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 \u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a\u060c \u0628\u0644 \u0646\u062d\u062a\u0627\u062c \u0623\u064a\u0636\u064b\u0627 \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0644\u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a\u060c \u0633\u0648\u0641 \u0646\u0642\u0648\u0645 \u0628\u062d\u0644 \u0639\u062f\u0629 \u062a\u0645\u0627\u0631\u064a\u0646 \u0623\u062f\u0646\u0627\u0647:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><u style=\"text-decoration-color:#FF9B28;\">\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u0645\u0628\u0644\u063a:<\/u><\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-efca27bad0818b86e6e42ee15a31ed6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3x^2+5x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"125\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-8a8dcfca37df757df3fd79292ead67b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=6x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"111\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0644\u062d\u0644 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627\u060c \u062a\u0645 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0642\u0648\u0629 \u0639\u0644\u0649 \u0643\u0644 \u062d\u062f \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><u style=\"text-decoration-color:#FF9B28;\">\u0645\u0634\u062a\u0642\u0629 \u0645\u0646 \u0627\u0644\u0645\u0646\u062a\u062c:<\/u><\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-8c539c8db8dbf532a639e09af47a583a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=4^{x}\\cdot \\text{sen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0634\u062a\u0642 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0648\u0644 \u0644\u0644\u0645\u0646\u062a\u062c \u0647\u0648 4 <sup>x<\/sup> ln(4)\u060c \u0648\u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628 \u0647\u0648 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645. \u0625\u0630\u0646 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0636\u0631\u0628 \u0647\u064a: <\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-5829940bb4219334d7e238b40a19794e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=4^{x}\\cdot \\ln (4) \\cdot \\text{sen}(x) +4^{x}\\cdot \\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"290\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><u style=\"text-decoration-color:#FF9B28;\">\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062d\u0627\u0635\u0644:<\/u><\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-59b390fee61ab3c2cbb4dc2230386658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^3+4x^2}{5x^2-8}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"127\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0628\u0633\u0637 \u0648\u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631 \u0644\u062f\u064a\u0646\u0627 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0644\u0630\u0627 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u062e\u0627\u0631\u062c \u0627\u0644\u0642\u0633\u0645\u0629\u060c \u0648\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0645\u0639 (\u0623\u0648 \u0627\u0644\u0637\u0631\u062d) \u0648\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0643\u0633\u0631 \u0644\u062f\u064a\u0647 \u0627\u0644\u0642\u0648\u0629: <\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"><\/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-af3f7cb513883d1fa5dadca23701c19d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=\\cfrac{(3x^2+8x)\\cdot (5x^2-8)-(x^3+4x^2)\\cdot 10x}{\\left(5x^2-8\\right)^2}\\\\[2ex]&amp;=\\cfrac{15x^4-24x^2+40x^3-64x-10x^4-40x^3}{25x^4+64-80x^2}\\\\[2ex]&amp;=\\cfrac{5x^4-24x^2-64x}{25x^4-80x^2+64}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"178\" width=\"379\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"regla-de-la-cadena\"><\/span> \u062d\u0643\u0645 \u0627\u0644\u0633\u0644\u0633\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"><meta charset=\"utf-8\"> <strong>\u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629<\/strong> \u0647\u064a \u0635\u064a\u063a\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u0631\u0643\u0628\u0629. \u062a\u0646\u0635 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0639\u0644\u0649 \u0623\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0631\u0643\u0628\u0629 <em>f(g(x))<\/em> \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0645\u0634\u062a\u0642 <em>f'(g(x))<\/em> \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a \u0627\u0644\u0645\u0634\u062a\u0642 <em>g'(x)<\/em> .<\/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-662d8c44c904e83267bbca5f968ca546_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1pt, boxsep=1.5mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      z(x)=f\\bigl(g(x)\\bigr) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black}z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x) \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0627\u062f\u0629 \u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0633\u062a\u064a\u0639\u0627\u0628 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0623\u0643\u062b\u0631 \u0635\u0639\u0648\u0628\u0629\u060c \u0644\u0630\u0644\u0643 \u0633\u0646\u062d\u0644 \u062a\u0645\u0631\u064a\u0646\u064b\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0643\u0645\u062b\u0627\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-c1863b1f92befa398b5c8692d239abf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0625\u0646\u0647\u0627 \u062a\u0631\u0643\u064a\u0628\u0629 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0644\u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u062f\u0627\u0644\u0629 x <sup>3<\/sup> \u062f\u0627\u062e\u0644 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628\u060c \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0631\u0643\u0628\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629\u060c \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628 \u0647\u0648 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062e\u0627\u0631\u062c\u064a\u0629 \u0633\u064a\u0643\u0648\u0646 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0628\u0646\u0641\u0633 \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u062c\u064a\u0628:<\/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-2046d85a1440fe95dccc4d8bb553e2f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=\\text{sen}(x^3) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'\\bigl(g(x)\\bigr)=\\text{cos}(x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"441\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0646\u062d\u0633\u0628 \u0645\u0634\u062a\u0642\u0629 x <sup>3<\/sup> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0642\u0648\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-1d045f948b3519322ae6771bd4497d70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=x^3\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} g'(x)=3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"320\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0631\u0643\u0628\u0629 \u0644\u0644\u0639\u062f\u062f \u0627\u0644\u0635\u062d\u064a\u062d \u0647\u064a \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0645\u0634\u062a\u0642\u062a\u064a\u0646:<\/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-ab755de02fa9196320c59676d77cd2e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x^3) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(x^3)\\cdot 3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"430\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0633\u0644\u0633\u0644\u0629-\u0627\u0644\u0642\u0648\u0627\u0639\u062f-\u0627\u0644\u0645\u0634\u062a\u0642\u0629\/\">\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u0634\u062a\u0642\u0629 \u0645\u062d\u0644\u0648\u0644\u0629 \u0628\u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivabilidad-de-una-funcion\"><\/span> \u062a\u0645\u0627\u064a\u0632 \u0627\u0644\u0648\u0638\u064a\u0641\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0631\u062a\u0628\u0637 <strong>\u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u064a\u0632 \u0644\u0644\u062f\u0627\u0644\u0629<\/strong> \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0628\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627\u060c \u0641\u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0639\u0643\u0633 \u0647\u0630\u0647 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u062e\u0627\u0637\u0626\u060c \u0623\u064a \u0623\u0646 \u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0644\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647\u0627 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062e\u0627\u0635 \u0628\u0647\u0627 \u0623\u0645 \u0644\u0627:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a <strong>\u0646\u0642\u0637\u0629 \u0646\u0627\u0639\u0645\u0629\u060c<\/strong> \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a <strong>\u0646\u0642\u0637\u0629 \u0632\u0627\u0648\u064a\u0629\u060c<\/strong> \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0648\u0644\u0643\u0646\u0647\u0627 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629. <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-3\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\" style=\";text-align:right;direction:rtl\">\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\/exercices-resolus-pour-representer-une-fonction-quadratique-incomplete.webp\" alt=\"\" class=\"wp-image-140\" width=\"250\" height=\"279\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0646\u0642\u0637\u0629 \u0646\u0627\u0639\u0645\u0629<\/strong><\/span> \u0639\u0646\u062f x=0:<br \/> \u0648\u0638\u064a\u0641\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0648\u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062a\u0641\u0627\u0636\u0644 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0631\u062d\u0644\u0629. <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\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\/comment-representer-graphiquement-une-fonction-avec-valeur-absolue.webp\" alt=\"\" class=\"wp-image-230\" width=\"286\" height=\"305\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u0627\u0626\u0644\u0629<\/strong><\/span> \u0639\u0646\u062f x=2:<br \/> \u0648\u0638\u064a\u0641\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0648\u0644\u0643\u0646 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062a\u0645\u064a\u064a\u0632 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0631\u062d\u0644\u0629.<\/p>\n<\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 <strong>\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629<\/strong> \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629: <\/p>\n<div style=\"background-color:#FFF3E0; padding-top: 23px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 20px; border-radius:20px;;text-align:right;direction:rtl\">\n<ul style=\"color:#64B5F6; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u063a\u064a\u0631 \u0645\u062a\u0633\u0627\u0648\u064a\u0629\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629:<\/span><\/li>\n<\/ul>\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-97c60c64dc01a7e0a9084313d15b0886_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x_o^-) \\neq f'(x_o^+) \\ \\longrightarrow\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u0644\u0627 \u064a\u062c\u0648\u0632 \u0627\u0644\u062a\u0641\u0631\u064a\u0642 \u0641\u064a\u0647<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-67ab403a6241009b92035b251f86c88e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_o\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul style=\"color:#64B5F6; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0625\u0630\u0627 \u062a\u0637\u0627\u0628\u0642\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627\u060c \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629:<\/span><\/li>\n<\/ul>\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-3f9477828318b9e6392465762f831642_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x_o^-) = f'(x_o^+) \\ \\longrightarrow\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0646\u0639\u0645 \u064a\u0645\u0643\u0646 \u0627\u0634\u062a\u0642\u0627\u0642\u0647\u0627 \u0641\u064a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-67ab403a6241009b92035b251f86c88e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_o\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0646\u0631\u0649 \u0627\u0644\u0622\u0646 \u0645\u062b\u0627\u0644\u0627\u064b \u0644\u062d\u0633\u0627\u0628 \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062f\u0631\u0633 \u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0648\u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=2:<\/li>\n<\/ul>\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-a98eee72521c68fd394eb6209a7d0a59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=  \\left\\{ \\begin{array}{lcl} 3x^2-6x &amp; \\text{si} &amp;  x<2 \\\\[2ex] 6\\ln (x-1) &amp; \\text{si} &amp; x\\geq 2 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"249\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0638\u0627\u0626\u0641 \u0643\u0644\u0627 \u0627\u0644\u0642\u0633\u0645\u064a\u0646 \u0645\u0633\u062a\u0645\u0631\u0629 \u0641\u064a \u0641\u062a\u0631\u0627\u062a \u0643\u0644 \u0645\u0646\u0647\u0645\u0627\u060c \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 x=2. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062d\u0644 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\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-dad5bcb0055431aa87a67068c04d2ce2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{x\\to 2^-} f(x) = \\lim\\limits_{x\\to 2^-} \\bigl(3x^2-6x\\bigr) = 3\\cdot2^2-6\\cdot2=12-12=\\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"449\" style=\"vertical-align: -14px;\"><\/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-31e1ba2ea2c5fd9fa86e5cefed0e5535_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{x\\to 2^+} f(x) = \\lim\\limits_{x\\to 2^+} 6\\ln (x-1) = 6\\ln (2-1)=6 \\ln 1=6 \\cdot 0= \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"474\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0623\u0639\u0637\u062a\u0646\u0627 \u0646\u0641\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=2.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f x=2\u060c \u0633\u0646\u062f\u0631\u0633 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062d\u0633\u0628 <strong>\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629<\/strong> \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641:<\/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-3709995609d0f69f382ff651e397c00a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)= \\left\\{ \\begin{array}{lcl} 6x-6 &amp; \\text{si} &amp;  x<2 \\\\[2ex] \\cfrac{6}{x-1} &amp; \\text{si} &amp; x\\geq 2 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"222\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u0642\u0648\u0645 \u0628\u062a\u0642\u064a\u064a\u0645 \u0643\u0644 \u0645\u0634\u062a\u0642 \u062c\u0627\u0646\u0628\u064a \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062d\u0631\u062c\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-ca27189960575c1151402d040bfa76f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(2^-)=6\\cdot2-6=12-6 = \\bm{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"239\" 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-058310a16d7d545ea56e99517845842b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(2^+)=\\cfrac{6}{2-1} = \\cfrac{6}{1} = \\bm{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"181\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0639\u0637\u062a\u0646\u0627 \u0627\u0644\u0645\u0634\u062a\u0642\u062a\u0627\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u062a\u0627\u0646 \u0646\u0641\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f x=2 \u0648\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0647\u064a 6:<\/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-aadf046f27916c46f0a302d6e0c34113_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(2^-) = f'(2^+) = 6 \\ \\longrightarrow \\ \\bm{f'(2) = 6}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"275\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0625\u0630\u0627 \u0623\u0639\u0637\u062a\u0646\u0627 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0646\u062a\u064a\u062c\u0629 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0646\u062f x=2. \u0628\u0639\u0628\u0627\u0631\u0629 \u0623\u062e\u0631\u0649\u060c \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0644\u0646 \u062a\u0643\u0648\u0646 \u0645\u0648\u062c\u0648\u062f\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u062a\u0645\u0627\u064a\u0632-\u0627\u0644\u0648\u0638\u064a\u0641\u0629\/\">\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u062a\u0641\u0627\u0636\u0644 \u062f\u0627\u0644\u0629<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0646\u0648\u0636\u062d \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u0644\u0627\u0635 \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641. \u0633\u062a\u062c\u062f \u0627\u0644\u0635\u064a\u063a \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0645\u0635\u062d\u0648\u0628\u0629 \u0628\u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u062f\u0631\u064a\u0628\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0629\u061f \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0647\u064a \u0642\u0648\u0627\u0639\u062f \u0631\u064a\u0627\u0636\u064a\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0648\u0638\u0627\u0626\u0641. \u0639\u0644\u0649 \u0648\u062c\u0647 \u0627\u0644\u062e\u0635\u0648\u0635\u060c \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0647\u064a \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0648\u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0633\u0644\u0648\u0643 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629. \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0627\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u0623\u0648\u0644\u064a\u0629 &#8216; &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%b4%d8%aa%d9%82%d8%a7%d8%aa\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a<\/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-405","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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