[微積] 極值問題兩題

看板Math作者 (披著狼皮的羊)時間15年前 (2011/01/12 14:12), 編輯推噓2(202)
留言4則, 2人參與, 最新討論串1/1
1.Consider the curve c:x^(2/3)+y^(2/3)=a^(2/3) (0≦x≦a,0≦y≦a) find the point P on c so that triangle bounded by the two coordinate awes and the tangent line to c at P has maximal area. x^2 y^2 2.設橢圓----+----=1的切線與x軸相交於A點,與y軸相交於B點,(a>0,b>0)試求AB線段 a^2 b^2 長之極值? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 118.166.9.57

01/12 15:54, , 1F
第1題,用猜的 (a/2,a/2)
01/12 15:54, 1F

01/12 15:58, , 2F
猜錯
01/12 15:58, 2F

01/12 16:00, , 3F
(√2 a/4 , √2 a/4)
01/12 16:00, 3F

01/12 17:35, , 4F
如果題目要求列式呢=.=
01/12 17:35, 4F
文章代碼(AID): #1DBKPesk (Math)