{"common":{"save":0,"post_id":"7137","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5969","post_id":"7137","mon_id":"1158924","chapter_id":"1159187","question":"<p>\u0110\u1ea1o hàm c\u1ee7a hàm s\u1ed1 <span class=\"math-tex\">$y=\\sqrt{x^2+2x+3}$<\/span> là:<\/p>","options":["<b>A.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{2\\sqrt{x^2+2x+3}}$<\/span>","<b>B.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{x+1}{2\\sqrt{x^2+2x+3}}$<\/span>","<b>C.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{2x+2}{\\sqrt{x^2+2x+3}}$<\/span>","<b>D.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{x+1}{\\sqrt{x^2+2x+3}}$<\/span>"],"correct":"4","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><b>D.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{x+1}{\\sqrt{x^2+2x+3}}$<\/span><\/span><\/p><p>Ta có: <span class=\"math-tex\">$y=\\sqrt{x^2+2x+3}$<\/span> ⇒ <span class=\"math-tex\">$y^\\prime=\\dfrac{x+1}{\\sqrt{x^2+2x+3}}$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-30 03:51:18","option_type":"math","len":0},{"id":"5971","post_id":"7137","mon_id":"1158924","chapter_id":"1159187","question":"<p>Cho hàm s\u1ed1 <span class=\"math-tex\">$y=4\\sin3x-5\\cos2x$<\/span>. Bi\u1ebft <span class=\"math-tex\">$y^\\prime=a\\cos bx+c\\sin dx$<\/span> trong \u0111ó <span class=\"math-tex\">$a,b,c,d$<\/span> là các s\u1ed1 nguyên. Giá tr\u1ecb bi\u1ec3u th\u1ee9c <span class=\"math-tex\">$P=2a+3b+4c-5d$<\/span> b\u1eb1ng <\/p>","options":["<b>A.<\/b> –17","<b>B.<\/b> 15","<b>C.<\/b> 63","<b>D.<\/b> 27"],"correct":"3","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><b>C.<\/b> 63<\/span><\/p><p>T\u1eadp xác \u0111\u1ecbnh <span class=\"math-tex\">$D=\\mathbb{R}$<\/span>.<\/p><p>Ta có: <span class=\"math-tex\">$y=4\\sin3x-5\\cos2x$<\/span> ⇒ <span class=\"math-tex\">$y^\\prime=12\\cos3x+10\\sin2x$<\/span><\/p><p>Suy ra <span class=\"math-tex\">$a=12,b=3,c=10,d=2$<\/span>.<\/p><p>V\u1eady <span class=\"math-tex\">$P=2.12+3.3+4.10-5.2=63$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-30 04:01:09","option_type":"txt","len":1},{"id":"5973","post_id":"7137","mon_id":"1158924","chapter_id":"1159187","question":"<p>\u0110\u1ea1o hàm c\u1ee7a hàm s\u1ed1 <span class=\"math-tex\">$y=\\log_2|x|$<\/span> b\u1eb1ng<\/p>","options":["<b>A.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{x\\ln2}$<\/span>","<b>B.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{x}$<\/span>","<b>C.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{|x|\\ln2}$<\/span>","<b>D.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{|x|}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><b>A.<\/b> <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{x\\ln2}$<\/span><\/span><\/p><p>Ta có: <span class=\"math-tex\">$y=\\log_2|x|=\\dfrac{\\ln|x|}{\\ln2}$<\/span> ⇒ <span class=\"math-tex\">$y^\\prime=\\dfrac{1}{x\\ln2}$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-30 04:10:39","option_type":"math","len":0}]}
