作者blak (纬纬)
看板trans_math
标题[微分] 微分
时间Wed Nov 23 12:15:01 2011
d x y d
-------ye +xe +x+y=--------0
dx dx
d y y y
-------xe = e +xe y' 请问为甚麽要乘y'?
dx
麻烦各位了 谢谢
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 118.168.129.168
1F:→ a016258:chain rule. d(3x+1)^2/dx= 2(3x+1) * '3' 114.42.182.65 11/23 13:37
2F:→ blak:e^y微分後不是还是e^y?? 118.168.139.18 11/23 13:50
3F:→ a016258:suppose y=3x+1 d( e^(y) ) /dx = ? 114.42.182.65 11/23 14:34
4F:→ blak:恩?不太懂118.168.139.116 11/23 16:37
5F:→ a016258:y=3x+1 , d( e^y ) /dx =e^y? 连锁律呢? 114.42.182.65 11/23 17:43
6F:→ suker:y=y(x) ; e^{y(x)}对x微分 e^y(x) * y'(x) 118.169.79.55 11/23 21:31
7F:→ suker:{sin(x^2)}' ={cos(x^2)}*{x^2}' =2x*cosx^2 118.169.79.55 11/23 21:34
8F:→ suker:後面的 {x^2}' 就是连锁律 118.169.79.55 11/23 21:34
9F:→ blak:感谢^^"了解 118.168.139.21 11/23 22:52
10F:推 a016258:是我讲得太糟糕了吗Q__Q 140.112.30.81 11/24 16:47
11F:→ blak:不会~你讲的让我了解了谢谢你118.168.134.115 11/24 18:23