{"id":12161,"date":"2021-03-04T20:02:45","date_gmt":"2021-03-04T14:32:45","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/science\/?p=12161"},"modified":"2021-10-12T22:55:40","modified_gmt":"2021-10-12T17:25:40","slug":"04-03-02-2","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/science\/advanced-level-science\/combined-mathematics\/pure-mathematics\/04-calculus\/04-03-graphs-and-derivatives\/04-03-02-2\/","title":{"rendered":"04.03.02 &#8211; \u0dc1\u0dca\u200d\u0dbb\u0dd2\u0dad\u0dba\u0d9a \u0dc4\u0dd0\u0dc3\u0dd2\u0dbb\u0dd3\u0db8 \u0dc3\u0dc4 \u0dc0\u0d9a\u0dca\u200d\u0dbb \u0d85\u0db1\u0dd4\u0dbb\u0dda\u0d9b\u0db1\u0dba"},"content":{"rendered":"\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?id=1ChnVvhJ2eREaH_VYE6GJ6z6KUfSWJqZu&amp;export=download\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<p><strong>\u0dc3\u0d82\u200d\u0dba\u0dd4\u0d9a\u0dca\u0dad \u0d9c\u0dab\u0dd2\u0dad\u0dba I (\u0dc1\u0dd4\u0daf\u0dca\u0db0 \u0d9c\u0dab\u0dd2\u0dad\u0dba) \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dad\u0dca\u200d\u0dbb\u0dba\u0dda <strong>A \u0d9a\u0ddc\u0da7\u0dc3\u0dda<\/strong><\/strong> <strong>\u0d9c\u0dd0\u0da7<strong>\u0dbd\u0dd4<\/strong>\u0dc0\u0d9a<\/strong> <strong>\u0dc4\u0dcf B \u0d9a\u0ddc\u0da7\u0dc3\u0dda 14 \u0dc0\u0dd0\u0db1\u0dd2 \u0d9c\u0dd0\u0da7\u0dbd\u0dd4\u0dc0\u0dd9\u0dc4\u0dd2 \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0dc0\u0db1\u0dca\u0db1\u0dda \u0db8\u0dd9\u0db8 \u0db4\u0dcf\u0da9\u0db8\u0dd9\u0dc4\u0dd2 \u0dc3\u0dd2\u0daf\u0dca\u0db0\u0dcf\u0db1\u0dca\u0dad \u0dc0\u0dda.<\/strong><\/p>\r\n\r\n\r\n\r\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u0db8\u0dd6\u0dbd\u0dd2\u0d9a \u0d85\u0dc0\u0d9a\u0dbd \u0db4\u0dca\u200d\u0dbb\u0dc3\u0dca\u0dad\u0dcf\u0dbb<\/strong><\/h2>\r\n\r\n\r\n\r\n<p>\u0db4\u0dca\u200d\u0dbb\u0dc3\u0dca\u0dad\u0dcf\u0dbb\u0dba\u0d9a \u0dc4\u0dd0\u0dbb\u0dd4\u0db8\u0dca \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba (\u0dc3\u0dca\u0dad\u0dcf\u0dc0\u0dbb \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba)<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"589\" height=\"330\" class=\"wp-image-14741\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-17.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-17.png 589w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-17-300x168.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-17-150x84.png 150w\" sizes=\"(max-width: 589px) 100vw, 589px\" \/><\/figure>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0dc3\u0dca\u0dad\u0dcf\u0dc0\u0dbb \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc0\u0dbb\u0dca\u0d9c 4\u0d9a\u0dd2.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" type=\"1\">\r\n<li>\u0d8b\u0db4\u0dbb\u0dd2\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba<\/li>\r\n<li>\u0d85\u0dc0\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba<\/li>\r\n<li>\u0dc0\u0dd0\u0da9\u0dd2\u0dc0\u0db1 \u0db1\u0dad\u0dd2\u0dc0\u0dbb\u0dca\u0dad\u0dba<\/li>\r\n<li>\u0d85\u0da9\u0dd4\u0dc0\u0db1 \u0db1\u0dad\u0dd2\u0dc0\u0dbb\u0dca\u0dad\u0dba<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0db8\u0dda \u0d95\u0db1\u0dd1\u0db8 \u0dc3\u0dca\u0dad\u0dcf\u0dc0\u0dbb \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0daf\u0dd3, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 0 \u0dc0\u0dda.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" type=\"1\">\r\n<li>\u0d85\u0dc0\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x = a \u0dc0\u0dd2\u0da7, \u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>= 0 \u0dba\u0dd0\u0dba\u0dd2 \u0dc3\u0dbd\u0d9a\u0db8\u0dd4.<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14751\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-18.png\" alt=\"\" width=\"632\" height=\"342\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-18.png 652w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-18-300x162.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-18-150x81.png 150w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><\/figure>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>x &lt; a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0&lt; 0 \u0daf<\/li>\r\n<li>x = a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 0 \u0daf<\/li>\r\n<li>x &gt; a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0&gt; 0 \u0daf \u0dc0\u0dd2\u0da7, x = a \u0d85\u0dc0\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0dd2.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0d8b\u0db4\u0dbb\u0dd2\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x = a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 0 \u0dba\u0dd0\u0dba\u0dd2 \u0dc3\u0dbd\u0d9a\u0db8\u0dd4.<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14754\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-19.png\" alt=\"\" width=\"557\" height=\"268\" \/><\/figure>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>x &lt; 0 \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>&gt; 0 \u0daf<\/li>\r\n<li>x = a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>= 0 \u0daf<\/li>\r\n<li>x &gt; 0 \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>&lt; 0 \u0daf \u0dc0\u0dd2\u0da7 x = a \u0d8b\u0db4\u0dbb\u0dd2\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0dd2.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0d85\u0da9\u0dd4\u0dc0\u0db1 \u0db1\u0dad\u0dd2\u0dc0\u0dbb\u0dca\u0dad \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x = a \u0dc0\u0dd2\u0da7,\u00a0\u00a0= 0 \u0dba\u0dd0\u0dba\u0dd2 \u0dc3\u0dbd\u0d9a\u0db8\u0dd4.<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"548\" height=\"296\" class=\"wp-image-14759\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-20.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-20.png 548w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-20-300x162.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-20-150x81.png 150w\" sizes=\"(max-width: 548px) 100vw, 548px\" \/><\/figure>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>x &lt; a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0&lt; 0 \u0daf<\/li>\r\n<li>x = a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 0 \u0daf<\/li>\r\n<li>x &gt; a \u0dc0\u0dd2\u0da7,<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0&lt; 0 \u0daf \u0dc0\u0dd2\u0da7 x = a \u0d85\u0da9\u0dd4\u0dc0\u0db1 \u0db1\u0dad\u0dd2\u0dc0\u0dbb\u0dca\u0dad\u0db1 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0dd2.<\/li>\r\n<li>\u0dc0\u0dd0\u0da9\u0dd2\u0dc0\u0db1 \u0db1\u0dad\u0dd2\u0dc0\u0dbb\u0dca\u0dad \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x = a \u0dc0\u0dd2\u0da7,<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>= 0 \u0dba\u0dd0\u0dba\u0dd2 \u0dc3\u0dbd\u0d9a\u0db8\u0dd4.<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14762\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture1-1.png\" alt=\"\" width=\"373\" height=\"230\" \/><\/figure>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>x &lt; a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>&gt; 0 \u0daf<\/li>\r\n<li>x = a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>= 0 \u0daf<\/li>\r\n<li>x &gt; a \u0dc0\u0dd2\u0da7, <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>&gt; 0 \u0daf \u0dc0\u0dd2\u0da7 x = a \u0dc0\u0dd0\u0da9\u0dd2\u0dc0\u0db1 \u0db1\u0dad\u0dd2\u0dc0\u0dbb\u0dca\u0dad \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0dd2.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>\u0d85\u0dc0\u0d9a\u0dbd \u0db4\u0dca\u200d\u0dbb\u0dc3\u0dca\u0dad\u0dcf\u0dbb\u0dba\u0d9a\u0dca \u0d87\u0db3\u0dd3\u0db8\u0dda \u0db4\u0dd2\u0dc5\u0dd2\u0dc0\u0dd9\u0dbd (\u0db4\u0dc5\u0db8\u0dd4 \u0d85\u0dc0\u0d9a\u0dbd \u0dc3\u0d82\u0d9c\u0dd4\u0dab\u0d9a\u0dba \u0db7\u0dcf\u0dc0\u0dd2\u0dad\u0dba\u0dd9\u0db1\u0dca)<\/p>\r\n\r\n\r\n\r\n<p>Step 1:- \u0daf\u0dd3 \u0d87\u0dad\u0dd2 \u0dc1\u0dca\u200d\u0dbb\u0dd2\u0dad\u0dba \u0d85\u0dc0\u0d9a\u0dbd\u0db1\u0dba \u0d9a\u0dbb\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>Step 2:- <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>= 0 \u0dba\u0ddc\u0daf\u0dcf \u0dc3\u0dca\u0dad\u0dcf\u0dc0\u0dbb \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dc0\u0dbd x \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a \u0dbd\u0db6\u0dcf\u0d9c\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>Step 3:- \u0d91\u0db8 x \u0d85\u0d9c\u0dba\u0db1\u0dca\u0da7 \u0d85\u0daf\u0dcf\u0dbd y \u0d85\u0d9c\u0dba\u0db1\u0dca \u0dbd\u0db6\u0dcf\u0d9c\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>Step 4:- \u0dc3\u0dca\u0dad\u0dcf\u0dc0\u0dbb \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc0\u0dbb\u0dca\u0d9c\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0d9a\u0dbb\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>Step 5:- x\u2192\u00b1\u221e \u0dc0\u0dd2\u0da7 y \u0dc4\u0dd2 \u0d85\u0d9c\u0dba \u0dbd\u0db6\u0dcf\u0d9c\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>Step 6:- \u0db4\u0dca\u200d\u0dbb\u0dc3\u0dca\u0dad\u0dcf\u0dbb\u0dba \u0d85\u0db3\u0dd2\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf: (9.)\u00a0\u00a0 y = x<sup>2<\/sup>-2x+3<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 2x-2<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 2(x-1)<\/p>\r\n\r\n\r\n\r\n<p>\u0dc3\u0dca\u0dad\u0dcf\u0dc0\u0dbb \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc3\u0db3\u0dc4\u0dcf,<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a02(x-1) = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0x -1 = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x = 1<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x = 1 \u0dc0\u0dd2\u0da7,<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0y = 1<sup>2<\/sup>-2(1) +3<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0y = 2<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14782\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-21.png\" alt=\"\" width=\"295\" height=\"392\" \/><\/figure>\r\n\r\n\r\n\r\n\r\n\r\n<p>\u0d91\u0db8\u0db1\u0dd2\u0dc3\u0dcf (1,2) \u0d85\u0dc0\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0dd2.<\/p>\r\n\r\n\r\n\r\n<p>Lim <sub>x\u2192\u221e<\/sub>\u00a0\u00a0 y = lim\u00a0 <sub>\u00a0x\u2192\u221e<\/sub>\u00a0\u00a0 (x<sup>2<\/sup>-2x+3)<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= lim\u00a0 <sub>\u00a0x<\/sub><sub>\u2192<\/sub><sub>\u221e<\/sub>\u00a0\u00a0\u00a0 x<sup>2<\/sup>(1- 2\/x + 3\/x<sup>2<\/sup>)<\/p>\r\n\r\n\r\n\r\n<p>Lim<sub> x<\/sub><sub>\u2192\u00b1<\/sub><sub>\u221e<\/sub> \u00a0\u00a0y = \u221e\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14783\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-22.png\" alt=\"\" width=\"343\" height=\"279\" \/><\/figure>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf: (10.)\u00a0\u00a0\u00a0 y=2x<sup>3<\/sup>-3x<sup>2<\/sup>-12x+13<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0=6x<sup>2<\/sup>-6x-12<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0=6(x<sup>2<\/sup>-x-2)<\/p>\r\n\r\n\r\n\r\n<p>\u0dc3\u0dca\u0dad\u0dcf\u0dc0\u0dbb \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc3\u0db3\u0dc4\u0dcf,<\/p>\r\n\r\n\r\n\r\n<p>\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a06(x<sup>2<\/sup>-x-2) = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x<sup>2 <\/sup>-x-2 = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0( x- 2 ) ( x + 1) = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0 x = 2 \u0dc4\u0ddd x = -1<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x = 2 \u0dc0\u0dd2\u0da7, y = (-7)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0x = (-1) \u0dc0\u0dd2\u0da7, y = 20<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14786\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-23.png\" alt=\"\" width=\"335\" height=\"127\" \/><\/figure>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14789\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-24.png\" alt=\"\" width=\"534\" height=\"253\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-24.png 533w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-24-300x142.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-24-150x71.png 150w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/figure>\r\n\r\n\r\n\r\n<p>\u0d91\u0db8\u0db1\u0dd2\u0dc3\u0dcf (-1,20) \u0d8b\u0db4\u0dbb\u0dd2\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0daf (2,-7) \u0d85\u0dc0\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0daf \u0dc0\u0dda.<\/p>\r\n\r\n\r\n\r\n<p>\u00a0lim <sub>x\u2192\u221e \u00a0<\/sub>\u00a0y\u00a0 \u00a0= \u00a0\u00a0lim\u00a0 <sub>x\u2192\u221e\u00a0\u00a0 <\/sub>x<sup>3<\/sup>(2- 3\/x -12\/x<sup>2<\/sup> + 13\/x<sup>3<\/sup>)<\/p>\r\n\r\n\r\n\r\n<p>lim <sub>x\u2192+\u221e\u00a0\u00a0 <\/sub>y \u00a0= \u221e\u00a0\u00a0\u00a0\u00a0\u00a0 lim <sub>x\u2192-\u221e\u00a0\u00a0 <\/sub>y =\u00a0 -\u221e<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"456\" height=\"335\" class=\"wp-image-14792\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-25.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-25.png 456w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-25-300x220.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-25-150x110.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-25-80x60.png 80w\" sizes=\"(max-width: 456px) 100vw, 456px\" \/><\/figure>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf: (11.)\u00a0\u00a0\u00a0 y = -(x-1)<sup>3<\/sup><\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= -3(x-1)<sup>2<\/sup><\/p>\r\n\r\n\r\n\r\n<p>\u0dc3\u0dca\u0dad\u0dcf\u0dc0\u0dbb \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc3\u0db3\u0dc4\u0dcf,<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0-3(x-1)<sup>2 <\/sup>= 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0(x- 1)<sup>2 \u00a0\u00a0<\/sup>= 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x = 1<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x = 1 \u00a0\u0dc0\u0dd2\u0da7 , \u00a0y\u00a0 = \u00a00<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"374\" height=\"344\" class=\"wp-image-14793\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-26.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-26.png 374w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-26-300x276.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-26-150x138.png 150w\" sizes=\"(max-width: 374px) 100vw, 374px\" \/><\/figure>\r\n\r\n\r\n\r\n\r\n\r\n<p>lim <sub>x\u2192\u221e\u00a0\u00a0\u00a0 <\/sub>y\u00a0 = \u00a0lim <sub>x\u2192\u221e<\/sub>\u00a0 -(x-1)2 =\u00a0 \u221e<\/p>\r\n\r\n\r\n\r\n<p>lim <sub>x\u2192-\u221e\u00a0\u00a0 <\/sub>\u00a0y = -\u221e<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"406\" height=\"261\" class=\"wp-image-14796\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-27.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-27.png 406w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-27-300x193.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-27-150x96.png 150w\" sizes=\"(max-width: 406px) 100vw, 406px\" \/><\/figure>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf: (12.)\u00a0\u00a0\u00a0 y = (x<sup>2<\/sup>-1)\/(x<sup>2<\/sup>+1)<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= {(x<sup>2<\/sup>+1) (2x)-(x<sup>2<\/sup>-1) (2x)}\/(x<sup>2<\/sup>+1)<sup>2<\/sup><\/p>\r\n\r\n\r\n\r\n<p>\u00a0 <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>= (2x<sup>3<\/sup>+2x-2x<sup>3<\/sup>+2x)\/(x<sup>2<\/sup>+1)<sup>2<\/sup><\/p>\r\n\r\n\r\n\r\n<p><sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/sup>\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>= 4x\/(x<sup>2<\/sup>+1)<sup>2<\/sup><\/p>\r\n\r\n\r\n\r\n<p>\u0dc3\u0dca\u0dad\u0dcf\u0dc0\u0dbb \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0db1\u0dca \u0dc3\u0db3\u0dc4\u0dcf,<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{dy}{dx}<\/span>\u00a0= 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0 4x\/(x<sup>2<\/sup>+1)<sup>2 <\/sup>= 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x = 0<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14798\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-28.png\" alt=\"\" width=\"431\" height=\"152\" \/><\/figure>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14802\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-29.png\" alt=\"\" width=\"434\" height=\"264\" \/><\/figure>\r\n\r\n\r\n\r\n<p>x = 0 \u0dc0\u0dd2\u0da7, y = -1<\/p>\r\n\r\n\r\n\r\n<p>\u0d91\u0db8\u0db1\u0dd2\u0dc3\u0dcf (0,-1) \u0d85\u0dc0\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc0\u0dda.<\/p>\r\n\r\n\r\n\r\n<p>Lim <sub>x<\/sub><sub>\u2192 <\/sub><sub>\u221e<\/sub>\u00a0 \u00a0\u00a0y = \u00a0lim <sub>x<\/sub><sub>\u2192<\/sub><sub>\u221e<\/sub> {(x<sup>2<\/sup>-1)\/(x<sup>2<\/sup>+1)}<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= lim <sub>x<\/sub><sub>\u2192<\/sub><sub>\u221e<\/sub> {x<sup>2<\/sup>(1- 1\/x<sup>2<\/sup>)}\/{x<sup>2<\/sup>(1+ 1\/x<sup>2<\/sup>)}<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= 1<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"366\" height=\"256\" class=\"wp-image-14805\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-30.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-30.png 366w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-30-300x210.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-30-150x105.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/Capture-30-100x70.png 100w\" sizes=\"(max-width: 366px) 100vw, 366px\" \/><\/figure>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0dba\u0db8\u0dca \u0db4\u0dca\u200d\u0dbb\u0dc3\u0dca\u0dad\u0dcf\u0dbb\u0dba\u0d9a x\u2192\u00b1\u221e \u0dc0\u0dd2\u0da7 y \u0dc4\u0dd2 \u0d85\u0d9c\u0dba \u0db4\u0dbb\u0dd2\u0db8\u0dd2\u0dad \u0db1\u0dd2\u0dba\u0dad \u0d85\u0d9c\u0dba\u0d9a\u0dca \u0dbd\u0dd0\u0db6\u0dda\u0db1\u0db8\u0dca \u0d91\u0dba \u0dad\u0dd2\u0dbb\u0dc3\u0dca \u0dc3\u0dca\u0db4\u0dbb\u0dca\u0dc1\u0ddd\u0db1\u0dca\u0db8\u0dd4\u0d9b\u0dba\u0d9a\u0dca \u0dbd\u0dd9\u0dc3<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>\u0dc4\u0dd0\u0db3\u0dd2\u0db1\u0dca\u0dc0\u0dda.<\/p>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?id=1ChnVvhJ2eREaH_VYE6GJ6z6KUfSWJqZu&amp;export=download\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/drive\/folders\/1cmG8C2feQUAMvv2JKenwbgG1EOhK5nbu?usp=sharing\" target=\"_blank\" rel=\"noreferrer noopener\">\u0dad\u0dc0\u0dad\u0dca \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>\u0daf\u0dd9\u0db1 \u0dbd\u0daf \u0dc0\u0d9a\u0dca\u200d\u0dbb\u0dba\u0d9a \u0daf\u0dd9\u0db1 \u0dbd\u0daf \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0daf\u0dd3 \u0d87\u0db3\u0dd2 \u0dc3\u0dca\u0db4\u0dbb\u0dca\u0dc1\u0d9a\u0dba\u0dda \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dbd\u0dd2\u0dba\u0dcf \u0daf\u0d9a\u0dca\u0dc0\u0db1 \u0d86\u0d9a\u0dcf\u0dbb\u0dba \u0db4\u0dd0\u0dc4\u0dd0\u0daf\u0dd2\u0dbd\u0dd2 \u0d9a\u0dbb\u0dba\u0dd2.<\/p>\n","protected":false},"author":56,"featured_media":16557,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[3669,3635,1,42,3630,3629],"tags":[4068,3758,3721,3788,3761,4069,3762,3760,3759,4086,3794,3795,4077,4079,4075,4074,4076,4071,4070,4063,4078,4062,3796,3722,4072,4080,4073],"class_list":{"0":"post-12161","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-04-03-graphs-and-derivatives","8":"category-04-calculus","9":"category-uncategorized","10":"category-advanced-level-science","11":"category-pure-mathematics","12":"category-combined-mathematics","13":"tag-awakalana-prasthara","14":"tag-awakalanaya","15":"tag-com-maths","16":"tag-combined-mathematics","17":"tag-combined-maths","18":"tag-differentation-graphs","19":"tag-differentiation","20":"tag-mathematics","21":"tag-maths","22":"tag-nathiwarthana","23":"tag-pure-mathematics","24":"tag-pure-maths","25":"tag-4077","26":"tag-4079","27":"tag-4075","28":"tag-4074","29":"tag-4076","30":"tag-4071","31":"tag-4070","32":"tag-4063","33":"tag-4078","34":"tag-4062","35":"tag-3796","36":"tag-3722","37":"tag-4072","38":"tag-4080","39":"tag-4073"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/12161"}],"collection":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/users\/56"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/comments?post=12161"}],"version-history":[{"count":19,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/12161\/revisions"}],"predecessor-version":[{"id":32561,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/12161\/revisions\/32561"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media\/16557"}],"wp:attachment":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media?parent=12161"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/categories?post=12161"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/tags?post=12161"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}