{"id":29,"date":"2023-09-17T11:04:43","date_gmt":"2023-09-17T11:04:43","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%aa%d9%88%d8%b3%d8%b7-%d9%88%d9%85%d8%b9%d8%af%d9%84-%d8%a7%d9%84%d8%aa%d8%ba%d9%8a%d8%b1-%d8%a7%d9%84%d9%84%d8%ad%d8%b8%d9%8a\/"},"modified":"2023-09-17T11:04:43","modified_gmt":"2023-09-17T11:04:43","slug":"%d9%85%d8%aa%d9%88%d8%b3%d8%b7-%d9%88%d9%85%d8%b9%d8%af%d9%84-%d8%a7%d9%84%d8%aa%d8%ba%d9%8a%d8%b1-%d8%a7%d9%84%d9%84%d8%ad%d8%b8%d9%8a","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%aa%d9%88%d8%b3%d8%b7-%d9%88%d9%85%d8%b9%d8%af%d9%84-%d8%a7%d9%84%d8%aa%d8%ba%d9%8a%d8%b1-%d8%a7%d9%84%d9%84%d8%ad%d8%b8%d9%8a\/","title":{"rendered":"\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u062a\u0648\u0633\u0637 \u0648\u0627\u0644\u0644\u062d\u0638\u064a"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0646\u0648\u0636\u062d \u0647\u0646\u0627 \u0645\u0627 \u0647\u0648 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631 \u0648\u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631 \u0648\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a. \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u0648\u0644 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-tasa-de-variacion\"><\/span> \u0645\u0627 \u0647\u0648 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 (TV) \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u0627\u0644\u0641\u0631\u0642 \u0641\u064a \u0642\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646.<\/strong> \u0644\u0630\u0644\u0643\u060c \u0644\u062d\u0633\u0627\u0628 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646\u060c \u064a\u062c\u0628 \u0637\u0631\u062d \u0642\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\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-c33fec724dd0a5bf45bfec5a911f5bcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[a,b]=f(b)-f(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"171\" 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 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0635\u0648\u0631\u062a\u0627\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0645\u0627 f(2)=1 \u0648f(5)=7\u060c \u0641\u0625\u0646 \u0645\u0639\u062f\u0644 \u062a\u063a\u064a\u0631\u0647\u0645\u0627 \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-8696c8ddc5db28bea4a9b14bc6dc0b9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[2,5]=f(5)-f(2)=7-1=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"269\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648 \u0627\u0644\u0645\u0639\u0646\u0649 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631\u060c \u0623\u0645\u0627 \u0641\u064a \u0627\u0644\u0627\u0642\u062a\u0635\u0627\u062f \u0641\u0625\u0646 \u0645\u0641\u0647\u0648\u0645 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u064a\u0639\u0646\u064a \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0627\u0642\u062a\u0635\u0627\u062f\u060c \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0628\u064a\u0646 \u0642\u064a\u0645\u062a\u064a\u0646 \u0647\u0648 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646\u0647\u0645\u0627 \u0645\u0639\u0628\u0631\u0627 \u0639\u0646\u0647 \u0643\u0646\u0633\u0628\u0629 \u0645\u0626\u0648\u064a\u0629\u060c \u0623\u064a \u0623\u0646 \u0645\u0639\u062f\u0644 \u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0628\u064a\u0646 \u0641\u062a\u0631\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0647\u0648 \u062a\u063a\u064a\u0631\u0647 \u0627\u0644\u0646\u0633\u0628\u064a. \u0648\u0644\u0630\u0644\u0643\u060c \u0644\u062d\u0633\u0627\u0628 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631\u060c \u064a\u062a\u0645 \u0637\u0631\u062d \u0642\u064a\u0645 \u0627\u0644\u0641\u062a\u0631\u062a\u064a\u0646 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646 \u0648\u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0627\u0644\u0641\u062a\u0631\u0629 \u0627\u0644\u0623\u0648\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-3a6392a6712643e5eeddbf7226523e42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[t,t+n]=\\cfrac{Y_{t+n}-Y_t}{Y_t}\\cdot 100\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"227\" style=\"vertical-align: -15px;\"><\/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 \u0625\u0630\u0627 \u0632\u0627\u062f\u062a \u0642\u064a\u0645\u0629 \u0623\u0633\u0647\u0645 \u0645\u0639\u064a\u0646\u0629 \u0645\u0646 35 \u064a\u0648\u0631\u0648 \u0625\u0644\u0649 50 \u064a\u0648\u0631\u0648 \u0641\u064a \u0634\u0647\u0631 \u0648\u0627\u062d\u062f\u060c \u0641\u0625\u0646 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631 \u0633\u064a\u0643\u0648\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-17a18b6b77c1e1b21cad5d1ffab56aca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[t,t+1]=\\cfrac{50-35}{35}\\cdot 100=42,86 \\ \\%\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"296\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u0639\u0646\u064a\u064a\u0646 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u064a\u0646 \u0644\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631\u060c \u0633\u0646\u0631\u0643\u0632 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0639\u0644\u0649 \u0641\u0647\u0645 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631. \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u0646\u0648\u0639\u064a\u0646 \u0645\u0646 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631: \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0648\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a. \u0623\u062f\u0646\u0627\u0647 \u0644\u062f\u064a\u0643 \u0634\u0631\u062d \u0644\u0643\u0644 \u0646\u0648\u0639.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"tasa-de-variacion-media\"><\/span> \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 (TVM) \u0644\u0644\u062f\u0627\u0644\u0629 \u0641\u064a \u0641\u062a\u0631\u0629 \u0645\u0627 \u0647\u0648 \u0639\u062f\u062f \u0627\u0644\u0648\u062d\u062f\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0632\u064a\u062f\u0647\u0627 (\u0623\u0648 \u062a\u0646\u0642\u0635\u0647\u0627) \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0643\u0644 \u0648\u062d\u062f\u0629 \u064a\u0632\u064a\u062f\u0647\u0627 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644.<\/strong> \u0644\u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u062a\u063a\u064a\u0631 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0642\u0633\u0645\u0629 \u0646\u0645\u0648 \u0627\u0644\u062f\u0627\u0644\u0629 \u0641\u064a \u0641\u062a\u0631\u0629 \u0645\u0627 \u0639\u0644\u0649 \u0633\u0639\u0629 \u062a\u0644\u0643 \u0627\u0644\u0641\u062a\u0631\u0629 \u0646\u0641\u0633\u0647\u0627.<\/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-a08373207642a78dec20dd28a9dafc4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM}[a,b]=\\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" style=\"vertical-align: -12px;\"><\/p>\n<\/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 \u062d\u0633\u0627\u0628 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631\u060c \u0642\u0645\u0646\u0627 \u0628\u062d\u0644 \u0645\u062b\u0627\u0644 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0623\u062f\u0646\u0627\u0647. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-tasa-de-variacion-media-de-una-funcion\"><\/span> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u062a\u063a\u064a\u0631 \u0627\u0644\u062f\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0641\u064a \u0627\u0644\u0641\u062a\u0631\u0629 [2.5] \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/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-e583988ce73cdf54a12306a64c97cc42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x^2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f x=2 \u0648x=5:<\/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-57a8756268ece6ee3543392da3aa5ee3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(5)= 5^2-1=25-1=24\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" 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-7163ad8fbbfd700e474e6d40164c8cb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2)=2^2-1=4-1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u0646\u062d\u0633\u0628 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u062a\u063a\u064a\u0631 \u0627\u0644\u062f\u0627\u0644\u0629 \u0641\u064a \u0627\u0644\u0641\u062a\u0631\u0629 \u0628\u0628\u0633\u0627\u0637\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\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-aca6688a94500231cb464ce5ca91685c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [a,b] = \\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" style=\"vertical-align: -12px;\"><\/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-dba3fad93a4b7e04a5d6f1517eb6dc1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [2,5]=\\cfrac{f(5)-f(2)}{5-2} = \\cfrac{24 - 3}{5-2} = \\cfrac{21}{3} = \\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"341\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u0627 \u0623\u0646 \u0646\u062a\u064a\u062c\u0629 TVM[2,5] \u0645\u0648\u062c\u0628\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0646\u0645\u0648 \u0641\u064a \u0627\u0644\u0641\u062a\u0631\u0629 [2,5]. \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0633\u0644\u0628\u064a\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u062a\u0646\u0627\u0642\u0635 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0641\u062a\u0631\u0629. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"interpretacion-geometrica-de-la-tasa-de-variacion-media\"><\/span> \u0627\u0644\u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0644\u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u062f\u0633\u064a\u064b\u0627\u060c \u064a\u0645\u062b\u0644 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u062a\u063a\u064a\u0631 \u0627\u0644\u062f\u0627\u0644\u0629 \u0641\u064a \u0641\u062a\u0631\u0629 \u0645\u0627 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0630\u064a \u064a\u0635\u0644 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0642\u0635\u0648\u0649 \u0644\u0644\u0641\u0627\u0635\u0644 \u0627\u0644\u0632\u0645\u0646\u064a. <\/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\/taux-de-variation-moyen.webp\" alt=\"\u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631\" class=\"wp-image-1678\" width=\"337\" height=\"378\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"tasa-de-variacion-instantanea\"><\/span>\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a (TVI) \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u062a\u0646\u0627\u0647\u064a \u0627\u0644\u0635\u063a\u0631 \u0644\u0644\u0632\u064a\u0627\u062f\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u062e\u0644\u0627\u0644 \u0641\u062a\u0631\u0629 \u0632\u0645\u0646\u064a\u0629.<\/strong> \u0644\u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0644 \u062d\u062f \u062d\u0627\u0635\u0644 <em>f(a+h)-f(a)<\/em> \u0628\u0648\u0627\u0633\u0637\u0629 <em>h<\/em> <em>\u064a\u0642\u062a\u0631\u0628<\/em> \u0645\u0646 \u0627\u0644\u0635\u0641\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-605387fef74bd8fe7f7e8a3e75686a7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{TVI}(a)=\\lim_{h \\to 0}\\frac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"235\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0642\u064a\u0645\u0629 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0645\u0648\u062c\u0628\u0629 \u0623\u0648 \u0633\u0627\u0644\u0628\u0629 \u0623\u0648 \u0635\u0641\u0631\u060c \u0648\u062a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629 \u062a\u062a\u0632\u0627\u064a\u062f \u0623\u0648 \u062a\u062a\u0646\u0627\u0642\u0635 \u0623\u0648 \u062a\u0638\u0644 \u0643\u0645\u0627 \u0647\u064a \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-tasa-de-variacion-instantanea-de-una-funcion\"><\/span> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0644\u0644\u062f\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=2 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/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-a0f6973d1b2b1b370cb20764d5a954a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\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-ef687e3c0bab81c2a8eaa578fcc41b9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (a) = \\lim\\limits_{h \\to 0} \\cfrac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"235\" style=\"vertical-align: -13px;\"><\/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-fd6499ec6074ceea794309155c7d788d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (2) = \\lim\\limits_{h \\to 0} \\cfrac{f(2+h)-f(2)}{h} =  \\lim\\limits_{h \\to 0} \\cfrac{(2+h)^2-2^2}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"390\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u062d\u0644 \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0628\u0627\u0631\u0632\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-21ea1067eb0c47009dd7f9c214a16e4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}  \\cfrac{2^2+h^2+2\\cdot 2 \\cdot h -2^2}{h} = \\lim\\limits_{h \\to 0}  \\cfrac{4+h^2+4h -4}{h} = \\lim\\limits_{h \\to 0}  \\cfrac{h^2+4h}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"496\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#FF9B28;\">\u27a4<\/span> \u0625\u0630\u0627 \u0644\u0645 \u062a\u0639\u062f \u062a\u062a\u0630\u0643\u0631 <u style=\"text-decoration-color:#FF9B28;\">\u0635\u064a\u063a \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629<\/u> \u060c \u0641\u0633\u062a\u062c\u062f \u062c\u0645\u064a\u0639 \u0627\u0644\u0635\u064a\u063a \u0639\u0644\u0649 \u0645\u0648\u0642\u0639\u0646\u0627 \u0627\u0644\u0645\u062a\u062e\u0635\u0635 \u0641\u064a \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f: <u style=\"text-decoration-color:#FF9B28;\">www.polinomios.org<\/u><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0627\u0648\u0644 \u062d\u0644 \u0627\u0644\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-b380a5546aa95d74c4da1a81e0e4665b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}  \\cfrac{h^2+4h}{h} = \\cfrac{0^2+4\\cdot 0}{0} =\\cfrac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"221\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0643\u0646\u0646\u0627 \u0646\u062c\u062f \u0639\u062f\u0645 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0635\u0641\u0631 \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631\u060c \u0648\u0628\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-ae32dac146777b5395b505ebf658af5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}  \\cfrac{h^2+4h}{h}= \\lim\\limits_{h \\to 0} \\cfrac{\\cancel{h}(h+4)}{\\cancel{h}} = \\lim\\limits_{h \\to 0} (h+4)\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"320\" style=\"vertical-align: -13px;\"><\/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\/\u0635\u0641\u0631-\u0628\u064a\u0646-\u0635\u0641\u0631-0-0-\u0639\u062f\u0645-\u0627\u0644\u062a\u062d\u062f\u064a\u062f\/\">\u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0630\u0627\u062a \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631<\/a><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u0627 \u0646\u062d\u0644 \u0627\u0644\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-3b124f5a6537497e232294814f1d49b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} (h+4) = 0 +4 = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"179\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u062a\u0649 \u0627\u0644\u0622\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-9504f8df3dcdd1c6954399b5a6aa0ef4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{TVI} \\bm{(2) = 4}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u0627 \u0623\u0646 \u0646\u062a\u064a\u062c\u0629 TVI(2) \u0645\u0648\u062c\u0628\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0632\u062f\u0627\u062f \u0639\u0646\u062f x=2. \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0633\u0644\u0628\u064a\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u062a\u0646\u0627\u0642\u0635 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0631\u062d\u0644\u0629. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"interpretacion-geometrica-de-la-tasa-de-variacion-instantanea\"><\/span> \u0627\u0644\u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0644\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u062f\u0633\u064a\u064b\u0627\u060c \u064a\u0645\u062b\u0644 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0645\u0627\u0633 \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0641\u0633 \u0627\u0644\u0646\u0642\u0637\u0629. <\/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\/taux-de-changement-instantane.webp\" alt=\"\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a\" class=\"wp-image-1682\" width=\"336\" height=\"355\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0646\u0638\u0631\u062a \u0639\u0646 \u0643\u062b\u0628\u060c \u0641\u0625\u0646 \u0645\u0639\u0646\u0649 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u064a\u0639\u0627\u062f\u0644 <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a\/\">\u0645\u0641\u0647\u0648\u0645 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629<\/a><\/span> . \u0648\u0645\u0646 \u062b\u0645\u060c \u064a\u064f\u0633\u062a\u062e\u062f\u0645 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0623\u064a\u0636\u064b\u0627 \u0644\u062d\u0633\u0627\u0628 \u0642\u064a\u0645\u0629 \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-tasa-de-variacion\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631<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\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 \u0645\u0639\u062f\u0644 \u062a\u063a\u064a\u0631 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u062a\u0631\u0629 [1\u060c3]. <\/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-52242e9edb560029e6861be262dc3418_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" 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\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u062d\u062f\u062f \u0642\u064a\u0645\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0637\u0631\u0641\u064a \u0627\u0644\u0641\u062a\u0631\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-a68e7a97d5a6f45ee1d01481fe687da1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=1^2-5=1-5=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"214\" 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-a0d6343387ae4a98c94387008c73c791_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=3^2-5=9-5=4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u0637\u0628\u0642 \u0635\u064a\u063a\u0629 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\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-c33fec724dd0a5bf45bfec5a911f5bcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[a,b]=f(b)-f(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"171\" 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-6ab143c57ef36bb306946cbe760653ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[1,3]=f(3)-f(1)=4-(-4)=4+4=\\bm{8}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"360\" style=\"vertical-align: -5px;\"><\/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\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 (TVM) \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u062e\u0644\u0627\u0644 \u0627\u0644\u0641\u062a\u0631\u0629 [1,4]: <\/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-b43717721aa2afd3fbc6d587213bbdef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" 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\"> \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b \u0635\u0648\u0631 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f x=1 \u0648x=4. <\/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-0877ab6ef765a3944e138081718775cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(4)=2\\cdot4+1=9\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" 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-e2e61642cf8070ce3ae09b2eb3335c4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=2\\cdot 1+1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0637\u0628\u0642 \u0635\u064a\u063a\u0629 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\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-aca6688a94500231cb464ce5ca91685c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [a,b] = \\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" style=\"vertical-align: -12px;\"><\/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-55ff356ed3f6444ca49c49e39dd46072_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [1,4] = \\cfrac{f(4)-f(1)}{4-1} = \\cfrac{9-3}{4-1}=\\cfrac{6}{3} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"323\" style=\"vertical-align: -12px;\"><\/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\"> \u0623\u0648\u062c\u062f \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u062a\u063a\u064a\u0631 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u062a\u0631\u0629 [-1.3]: <\/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-a04612aafb771e8771b2810a18e18475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(x+1)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"120\" 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\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631\u060c \u0646\u062d\u062a\u0627\u062c \u0623\u0648\u0644\u0627\u064b \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 f(-1) \u0648f(3): <\/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-3da577fe4ac481741007375057aa116e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=(3+1)^2=(4)^2=16\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"213\" 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-8b7269aaa1c01fb9a5e218a0a627483b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1)=((-1)+1)^2=(0)^2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"246\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0622\u0646 \u0635\u064a\u063a\u0629 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\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-aca6688a94500231cb464ce5ca91685c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [a,b] = \\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" style=\"vertical-align: -12px;\"><\/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-080aef07d76e5d8823128118052fb808_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [-1,3] = \\cfrac{f(3)-f(-1)}{3-(-1)} = \\cfrac{16-0}{3+1}=\\cfrac{16}{4} = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"369\" 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\"> \u0627\u062d\u0633\u0628 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0641\u064a \u0627\u0644\u0641\u062a\u0631\u0629 [2,4] \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0648\u0636\u062d\u0629 \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062a\u0627\u0644\u064a: <\/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\/representation-d-une-fonction-quadratique-ou-parabole.webp\" alt=\"\" class=\"wp-image-137\" width=\"290\" height=\"328\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\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\"> \u0646\u0637\u0628\u0642 \u0635\u064a\u063a\u0629 \u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\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-aca6688a94500231cb464ce5ca91685c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [a,b] = \\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" style=\"vertical-align: -12px;\"><\/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-436fb10e74beb8c2ede9c9ac586d96c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [2,4]=\\cfrac{f(4)-f(2)}{4-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"192\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0646\u0631\u0649 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629\u060c \u0639\u0644\u064a\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \u0642\u064a\u0645\u0629 f(4) \u0648f(2). \u0648\u064a\u0645\u0643\u0646 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0628\u0633\u0647\u0648\u0644\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645\u064a \u0644\u0644\u0648\u0638\u064a\u0641\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-fad0fc656e95d7bc9517693b55a15540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(4)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" 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-9e7d13ebd46205da0aa8ff41e5133ba3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0628\u0639\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u0642\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u0646\u0639\u0648\u0636 \u0628\u0647\u0627 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\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-9a84929c02a38e91b072239affa6d9f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM}[2,4]=\\cfrac{f(4)-f(2)}{4-2}=\\cfrac{5-1}{4-2}=\\cfrac{4}{2}=\\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"323\" style=\"vertical-align: -12px;\"><\/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\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=2: <\/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-9de7457ac9ec3e1599c6f986c5ba57ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" 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\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=2\u060c \u0646\u0637\u0628\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0647\u0627: <\/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-a66c321e96cb1e871b9c7debfee1f4bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI}(a)=\\lim\\limits_{h \\to 0} \\cfrac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"235\" style=\"vertical-align: -13px;\"><\/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-73ee822823f921f75014cb9b50e47f51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\text{TVI}(2)=\\lim\\limits_{h \\to 0} \\cfrac{f(2+h)-f(2)}{h}=\\\\[4ex]=\\lim\\limits_{h \\to 0} \\cfrac{3(2+h)-3\\cdot 2}{h} =\\\\[4ex]=\\lim\\limits_{h \\to 0} \\cfrac{6+3h-6}{h}= \\lim\\limits_{h \\to 0} \\cfrac{3h}{h} =\\\\[4ex]=\\lim\\limits_{h \\to 0} \\cfrac{3\\cancel{h}}{\\cancel{h}}=\\lim\\limits_{h \\to 0} 3 = \\bm{3}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"239\" width=\"250\" 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 6<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u062f\u062f \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a (TVI) \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=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-a64e895ef4284c9ac73729d092f47767_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" 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\"> \u0646\u062d\u0646 \u0646\u0637\u0628\u0642 \u0635\u064a\u063a\u0629 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\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-ef687e3c0bab81c2a8eaa578fcc41b9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (a) = \\lim\\limits_{h \\to 0} \\cfrac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"235\" style=\"vertical-align: -13px;\"><\/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-9aae03d6907f804a3015daa4ecca1e9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (1) = \\lim\\limits_{h \\to 0} \\cfrac{f(1+h)-f(1)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"233\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u0646\u062d\u0633\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-59ab22db5134b4e8bc6bbed7ab09bd5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1+h)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"64\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32045357853caad8774629c95963835d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" 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-bcec545e7bbd1d55ba069ac58c7862ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1+h) = (1+h)^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"181\" 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-c5f418d9c95675368ebe7525ad0354ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=1^2+1=1+1=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0633\u062a\u0628\u062f\u0644 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\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-89bedae84e1ece0933ddf522e449e005_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (1) = \\lim\\limits_{h \\to 0} \\cfrac{f(1+h)-f(1)}{h}= \\lim\\limits_{h \\to 0} \\cfrac{(1+h)^2+1-2}{h} =\\lim\\limits_{h \\to 0} \\cfrac{(1+h)^2-1}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"563\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u062d\u0644 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0628\u0627\u0631\u0632:<\/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-ef36f072cd7bee2d30936dc5a18bdf7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{1^2+h^2+2\\cdot 1 \\cdot h-1}{h}=\\lim\\limits_{h \\to 0} \\cfrac{1+h^2+2h-1}{h}=\\lim\\limits_{h \\to 0} \\cfrac{h^2+2h}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"488\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0627\u0648\u0644 \u062d\u0644 \u0627\u0644\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-eada4220b55e8f3f27f6e565244fa430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{h^2+2h}{h}=\\cfrac{0^2+2\\cdot 0}{0} = \\cfrac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"221\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u0646\u0646\u0627 \u0646\u062c\u062f \u0627\u0644\u0635\u064a\u063a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u0639\u064a\u0646\u0629 \u0635\u0641\u0631 \u0645\u0642\u0633\u0648\u0645\u0629 \u0639\u0644\u0649 \u0635\u0641\u0631\u060c \u0644\u0630\u0644\u0643 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0628\u0633\u0637 \u0627\u0644\u0643\u0633\u0631 \u0648\u0646\u0628\u0633\u0637:<\/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-89248fe68bc38749f3ad45e65d902840_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{h^2+2h}{h}=\\lim\\limits_{h \\to 0} \\cfrac{h(h+2)}{h} = \\lim\\limits_{h \\to 0} \\cfrac{\\cancel{h}(h+2)}{\\cancel{h}}= \\lim\\limits_{h \\to 0}(h+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"442\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <span style=\"color:#FF9B28;\">\u27a4<\/span> \u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0639\u0631\u0641 <u style=\"text-decoration-color:#FF9B28;\">\u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 \u0627\u0644\u0635\u0641\u0631\u064a \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631<\/u> \u060c \u0641\u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0627\u0637\u0644\u0627\u0639 \u0639\u0644\u0649 \u0627\u0644\u0634\u0631\u062d \u0627\u0644\u0643\u0627\u0645\u0644 \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0623\u0639\u0644\u0627\u0647 \u062d\u0648\u0644 <u style=\"text-decoration-color:#FF9B28;\">\u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0627\u0644\u062d\u062f \u0627\u0644\u0630\u064a \u0644\u0627 \u062a\u0639\u064a\u064a\u064a\u0646 \u0641\u064a\u0647 \u0635\u0641\u0631 \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631.<\/u><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062d\u0644 \u0627\u0644\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-5467af069ca6192116dee3e32de90ea7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}(h+2) = 0+2 =\\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"178\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=1 \u064a\u0633\u0627\u0648\u064a 2. <\/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-fbcab0fecbbbe2fbefd80027e8748bda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{TVI} \\bm{(1) = 2}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"92\" style=\"vertical-align: -5px;\"><\/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 7<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=2: <\/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-1b3e71aa0e6f65532f0324d35e827180_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=4x^2-x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" 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\"> \u0646\u0633\u062a\u062e\u062f\u0645 \u0623\u0648\u0644\u0627\u064b \u0635\u064a\u063a\u0629 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\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-ef687e3c0bab81c2a8eaa578fcc41b9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (a) = \\lim\\limits_{h \\to 0} \\cfrac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"235\" style=\"vertical-align: -13px;\"><\/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-a6a7c9ceda50eea0255d09898ff47cbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (2) = \\lim\\limits_{h \\to 0} \\cfrac{f(2+h)-f(2)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"233\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u062d\u0633\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-bd34e7bfca2688fc7047d0cbe546068d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2+h)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"64\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f026e401162db03299777455b748b308_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" 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-79281afbca1e53d72c77a132af8593a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2+h) = 4(2+h)^2-(2+h)+3=4(2+h)^2-h+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"423\" 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-9260dd17b5ceca44c7ff2d860f0354c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2) =4\\cdot 2^2-2+3=4\\cdot 4-2+3 =17\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"313\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0633\u062a\u0628\u062f\u0644 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\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-6ad59f5f751af139656a471bf2a41801_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (2) = \\lim\\limits_{h \\to 0} \\cfrac{f(2+h)-f(2)}{h}=\\\\[4ex]=\\lim\\limits_{h \\to 0} \\cfrac{4(2+h)^2-h+1-17}{h}=\\\\[4ex]= \\lim\\limits_{h \\to 0} \\cfrac{4(2+h)^2-h-16}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"190\" width=\"286\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629 \u0627\u0644\u0645\u0644\u062d\u0648\u0638\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-e358be77d34e9ec7c27433743001162c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{4(2^2+h^2+2\\cdot 2 \\cdot h)-h-16}{h}=\\lim\\limits_{h \\to 0} \\cfrac{4(4+h^2+4h)-h-16}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"500\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u0639\u0645\u0644 \u0639\u0644\u0649 \u0627\u0644\u0628\u0633\u0637:<\/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-e7c2b63592b070fa6046376f878d45bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{16+4h^2+16h-h-16}{h}=\\lim\\limits_{h \\to 0} \\cfrac{4h^2+15h}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"355\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0627\u0648\u0644 \u062d\u0644 \u0627\u0644\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-b9dda4d5e5c5eab8c018f1b46a3da45e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{4h^2+15h}{h}=\\cfrac{4\\cdot0^2+15\\cdot 0}{0} = \\cfrac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"269\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u0646\u0646\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 \u0635\u0641\u0631 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0635\u0641\u0631\u060c \u0644\u0630\u0644\u0643 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u0646\u0628\u0633\u0637\u0647\u0627:<\/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-e0d1213a45968f3137f0c39272cd70dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{4h^2+15h}{h}=\\lim\\limits_{h \\to 0} \\cfrac{h(4h+15)}{h}=\\lim\\limits_{h \\to 0} \\cfrac{\\cancel{h}(4h+15)}{\\cancel{h}}= \\lim\\limits_{h \\to 0}(4h+15)\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"513\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062d\u0644 \u0627\u0644\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-5eb4579d04c151866059162480d4c816_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}(4h+15)=4\\cdot 0+15 =\\bm{15}\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"235\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062d\u062a\u0649 \u0627\u0644\u0622\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-9181cbd259448ba47e80eb081625ee2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{TVI} \\bm{(2) = 15}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -5px;\"><\/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>\u0646\u0648\u0636\u062d \u0647\u0646\u0627 \u0645\u0627 \u0647\u0648 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631 \u0648\u0645\u062a\u0648\u0633\u0637 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631 \u0648\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0644\u062d\u0638\u064a. \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u0648\u0644 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631. \u0645\u0627 \u0647\u0648 \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u064a\u0631\u061f \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 (TV) \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u0627\u0644\u0641\u0631\u0642 \u0641\u064a \u0642\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d8%aa%d9%88%d8%b3%d8%b7-%d9%88%d9%85%d8%b9%d8%af%d9%84-%d8%a7%d9%84%d8%aa%d8%ba%d9%8a%d8%b1-%d8%a7%d9%84%d9%84%d8%ad%d8%b8%d9%8a\/\"> <span class=\"screen-reader-text\">\u0645\u0639\u062f\u0644 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u062a\u0648\u0633\u0637 \u0648\u0627\u0644\u0644\u062d\u0638\u064a<\/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-29","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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