{"common":{"save":0,"post_id":"7136","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5951","post_id":"7136","mon_id":"1158924","chapter_id":"1159187","question":"<p>Hàm s\u1ed1 <span class=\"math-tex\">$y=3^{x^2-x}$<\/span> có \u0111\u1ea1o hàm là:<\/p>","options":["<b>A.<\/b> <span class=\"math-tex\">$y^\\prime=(2x-1).3^{x^2-x}$<\/span>","<b>B.<\/b> <span class=\"math-tex\">$y^\\prime=(2x-1).3^{x^2-x}.\\ln3$<\/span>","<b>C.<\/b> <span class=\"math-tex\">$y^\\prime=(x^2-x).3^{x^2-x-1}$<\/span>","<b>D.<\/b> <span class=\"math-tex\">$y^\\prime=3^{x^2-x}.\\ln3$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><b>B.<\/b> <span class=\"math-tex\">$y^\\prime=(2x-1).3^{x^2-x}.\\ln3$<\/span><\/span><\/p><p>Ta có: <span class=\"math-tex\">$y=3^{x^2-x}$<\/span> ⇒ <span class=\"math-tex\">$y^\\prime=(2x-1).3^{x^2-x}.\\ln3$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-30 02:31:04","option_type":"math","len":0},{"id":"5953","post_id":"7136","mon_id":"1158924","chapter_id":"1159187","question":"<p>Tính \u0111\u1ea1o hàm c\u1ee7a hàm s\u1ed1 <span class=\"math-tex\">$y=\\log_2(2x+1)$<\/span>.<\/p>","options":["<b>A.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{2}{(2x+1)\\ln2}$<\/span>","<b>B.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{(2x+1)\\ln2}$<\/span>","<b>C.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{2}{2x+1}$<\/span>","<b>D.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{2x+1}$<\/span>"],"correct":"1","level":"2","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><b>A.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{2}{(2x+1)\\ln2}$<\/span><\/span><\/p><p>Ta có: <span class=\"math-tex\">$y=\\log_2(2x+1)$<\/span> ⇒ <span class=\"math-tex\">$y^\\prime=\\dfrac{2}{(2x+1)\\ln2}$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-30 02:34:04","option_type":"math","len":0},{"id":"5955","post_id":"7136","mon_id":"1158924","chapter_id":"1159187","question":"<p>Cho hàm s\u1ed1 <span class=\"math-tex\">$f(x)=-x^3+2x$<\/span>, giá tr\u1ecb c\u1ee7a <span class=\"math-tex\">$f^{\\prime\\prime}(2)$<\/span> b\u1eb1ng<\/p>","options":["<b>A.<\/b> –10","<b>B.<\/b> 12","<b>C.<\/b> 7","<b>D.<\/b> −12"],"correct":"4","level":"2","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><b>D.<\/b> −12<\/span><\/p><p>Ta có: <span class=\"math-tex\">$f(x)=-x^3+2x$<\/span> ⇒ <span class=\"math-tex\">$f^{\\prime}(x)=-3x^2+2$<\/span> ⇒ <span class=\"math-tex\">$f^{\\prime\\prime}(x)=-6x$<\/span><\/p><p>V\u1eady <span class=\"math-tex\">$f^{\\prime\\prime}(2)=-6.2=-12$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-30 02:40:14","option_type":"txt","len":1}]}
