作者midarmyman (midarmyman)
看板trans_math
标题[考古] 96中兴财金
时间Wed Jul 1 12:25:59 2009
f(x)=(1+x)^1/2 + (1-x)^1/2
求第二十次微分f(0)的值
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 114.41.247.144
1F：→ Eliphalet:chain rule 的应用吧 , 找规律 122.127.116.52 07/01 12:40
2F：→ midarmyman:马克劳林展开找二十次方那一项系数 114.41.247.144 07/01 12:44
3F：→ midarmyman:书上答案怪怪的 有算出来PO一下答案 114.41.247.144 07/01 12:44
4F：推 keith291:用泰勒展开找x^20系数再乘上20!即答案 140.112.66.200 07/01 12:45
5F：→ midarmyman:给我答案一下 114.41.247.144 07/01 12:51
6F：推 keith291:-19(-1/2)(-3/2)...(-35/2)(-37/2) 140.112.66.200 07/01 12:57
7F：推 keith291:上面打错 等等... 140.112.66.200 07/01 13:03
8F：→ keith291:反正就是2(20!C(1/2,20)) 140.112.66.200 07/01 13:05
9F：→ midarmyman:谢罗 114.41.247.144 07/01 13:14
10F：→ midarmyman:是负的吧? 114.41.247.144 07/01 13:37
11F：→ midarmyman:她答案给1*3*5*...*37/2^20 114.41.247.144 07/01 13:39