{"common":{"save":0,"post_id":"7134","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5931","post_id":"7134","mon_id":"1158924","chapter_id":"1159187","question":"<p>\u0110\u1ea1o hàm c\u1ee7a hàm s\u1ed1 <span class=\"math-tex\">$y=2x^3+3x^2+5x+9$<\/span> t\u1ea1i x = –1 là<\/p>","options":["<b>A.<\/b> 5","<b>B.<\/b> −2","<b>C.<\/b> 7","<b>D.<\/b> 10"],"correct":"1","level":"1","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><b>A.<\/b> 5<\/span><\/p><p>Ta có: <span class=\"math-tex\">$y=2x^3+3x^2+5x+9$<\/span> ⇒ <span class=\"math-tex\">$y^\\prime=6x^2+6x+5$<\/span><\/p><p>V\u1eady <span class=\"math-tex\">$y^\\prime (-1)=6.(-1)^2+6.(-1)+5=5$<\/span><\/p>","type":"choose","extra_type":"shape1","user_id":"131","test":"0","date":"2024-05-30 01:40:17","option_type":"txt","len":0},{"id":"5933","post_id":"7134","mon_id":"1158924","chapter_id":"1159187","question":"<p>Cho hai hàm s\u1ed1 <span class=\"math-tex\">$f(x)$<\/span> và <span class=\"math-tex\">$g(x)$<\/span>. Bi\u1ebft <span class=\"math-tex\">$f^\\prime(3)=1;g^\\prime(3)=2$<\/span>, \u0111\u1ea1o hàm c\u1ee7a hàm s\u1ed1 <span class=\"math-tex\">$y=f(x)+g(x)$<\/span> t\u1ea1i x = 3 b\u1eb1ng:<\/p>","options":["<b>A.<\/b> −1","<b>B.<\/b> 3","<b>C.<\/b> 1","<b>D.<\/b> 2"],"correct":"2","level":"1","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><b>B.<\/b> 3<\/span><\/p><p>Ta có: <span class=\"math-tex\">$y=f(x)+g(x)$<\/span> ⇒ <span class=\"math-tex\">$y^\\prime=f^\\prime(x)+g^\\prime(x)$<\/span><\/p><p>V\u1eady \u0111\u1ea1o hàm c\u1ee7a hàm s\u1ed1 <span class=\"math-tex\">$y=f(x)+g(x)$<\/span> t\u1ea1i x = 3 là:<\/p><p><span class=\"math-tex\">$y^\\prime(3)=f^\\prime(3)+g^\\prime(3)=1+2=3$<\/span>.<\/p>","type":"choose","extra_type":"sheep","user_id":"131","test":"0","date":"2024-05-30 01:44:00","option_type":"txt","len":0},{"id":"5935","post_id":"7134","mon_id":"1158924","chapter_id":"1159187","question":"<p>Ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb hàm s\u1ed1 <span class=\"math-tex\">$y=x^3-3x^2-x+4$<\/span> t\u1ea1i \u0111i\u1ec3m <span class=\"math-tex\">$M(2;-2)$<\/span> có h\u1ec7 s\u1ed1 góc b\u1eb1ng:<\/p>","options":["<b>A.<\/b> −3","<b>B.<\/b> 4","<b>C.<\/b> –1","<b>D.<\/b> 2"],"correct":"3","level":"1","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><b>C.<\/b> –1<\/span><\/p><p>Ta có: <span class=\"math-tex\">$y=x^3-3x^2-x+4$<\/span> ⇒ <span class=\"math-tex\">$y^\\prime=3x^2-6x-1$<\/span><\/p><p>H\u1ec7 s\u1ed1 góc c\u1ee7a ti\u1ebfp tuy\u1ebfn là <span class=\"math-tex\">$y^\\prime(x_0)$<\/span>.<\/p><p>V\u1eady h\u1ec7 s\u1ed1 góc c\u1ee7a ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb hàm s\u1ed1 t\u1ea1i \u0111i\u1ec3m <span class=\"math-tex\">$M(2;-2)$<\/span> là <span class=\"math-tex\">$y^\\prime(2)=3.2^2-6.2-1=-1$<\/span>.<\/p>","type":"choose","extra_type":"shape2","user_id":"131","test":"0","date":"2024-05-30 01:48:48","option_type":"txt","len":0}]}
