{"common":{"save":0,"post_id":"7119","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5886","post_id":"7119","mon_id":"1158924","chapter_id":"1159187","question":"<p>T&iacute;nh \u0111\u1ea1o h&agrave;m c\u1ee7a h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\dfrac{2x}{x-1}$<\/span>.<\/p>","options":["<b>A.<\/b> <span class=\"math-tex\">$y^\\prime =\\dfrac{2}{(x-1)^2}$<\/span>","<b>B.<\/b> <span class=\"math-tex\">$y^\\prime =\\dfrac{-2}{x-1}$<\/span>","<b>C.<\/b> <span class=\"math-tex\">$y^\\prime =\\dfrac{-2}{(x-1)^2}$<\/span>","<b>D.<\/b> <span class=\"math-tex\">$y^\\prime =\\dfrac{2}{x-1}$<\/span>"],"correct":"3","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><b>C.<\/b>&nbsp;<span class=\"math-tex\">$y^\\prime =\\dfrac{-2}{(x-1)^2}$<\/span><\/span><\/p><p>T\u1eadp x&aacute;c \u0111\u1ecbnh&nbsp;<span class=\"math-tex\">$D=\\mathbb{R}\\setminus \\{1\\}$<\/span><\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$y=\\dfrac{2x}{x-1}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$y^\\prime =\\dfrac{-2}{(x-1)^2}$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-29 02:12:53","option_type":"math","len":0},{"id":"5888","post_id":"7119","mon_id":"1158924","chapter_id":"1159187","question":"<p>H&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\dfrac{1}{x^2+5}$<\/span>&nbsp;c&oacute; \u0111\u1ea1o h&agrave;m b\u1eb1ng&nbsp;<\/p>","options":["<b>A.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{(x^2+5)^2}$<\/span>","<b>B.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{-2x}{(x^2+5)^2}$<\/span>","<b>C.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{-1}{(x^2+5)^2}$<\/span>","<b>D.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{2x}{(x^2+5)^2}$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><b>B.<\/b>&nbsp;<span class=\"math-tex\">$y^\\prime=\\dfrac{-2x}{(x^2+5)^2}$<\/span><\/span><\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$y=\\dfrac{1}{x^2+5}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$y^\\prime=\\dfrac{-2x}{(x^2+5)^2}$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-29 02:20:58","option_type":"math","len":0},{"id":"5890","post_id":"7119","mon_id":"1158924","chapter_id":"1159187","question":"<p>Cho h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=x^3-3x+2025$<\/span>. B\u1ea5t ph\u01b0\u01a1ng tr&igrave;nh y&#39; &lt; 0 c&oacute; t\u1eadp nghi\u1ec7m l&agrave;:<\/p>","options":["<b>A.<\/b> <span class=\"math-tex\">$S = (\u20131; 1)$<\/span>","<b>B.<\/b> <span class=\"math-tex\">$S=(-\\infty;-1)\\cup (1;+\\infty)$<\/span>","<b>C.<\/b> <span class=\"math-tex\">$S=(-\\infty;-1)$<\/span>","<b>D.<\/b> <span class=\"math-tex\">$S= (1;+\\infty)$<\/span>"],"correct":"1","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><b>A.<\/b>&nbsp;<span class=\"math-tex\">$S = (\u20131; 1)$<\/span><\/span><\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$y=x^3-3x+2025$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$y^\\prime=3x^2-3$<\/span><\/p><p>Do \u0111&oacute;&nbsp;<span class=\"math-tex\">$y^\\prime &lt;0$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$x^2-1&lt;0$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$-1&lt; x &lt; 1$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-29 02:27:36","option_type":"math","len":0}]}