作者dododino (喔耶～)
看板trans_math
标题[考古] 交大科管
时间Thu Mar 12 23:27:29 2009
1. suppose f is continuous and symmetric to y-axis,f(0)=2,f(1)=1,
f'(x)<0
(这个<我改的 题目本来是> 感觉出错了)on (0,1),
1
and ∫ f(x)dx=1
-1
(a) evaluate 1
∫ xf'(x)dx
-1
(b) find 1
∫ f^-1 (y)dy
0
2. Let f be a diffrentiable function of x and y. Suppose the directional
derivatives of f at a point A(1,3) in the direction <cosπ/4 , sin π/4 >
and <cosπ/3 , sin π/3 > are, respectively, √2 and 2. Then
(a) Find the directional derivative of f at A in the direction
<cos 2π/3 , sin 2π/3 >
麻烦解答了 谢谢~
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◆ From: 118.160.75.117
1F：推 zptdaniel:1-(a)分部积分 1-(b) 变元代换123.194.100.216 03/12 23:32
2F：→ dododino:嗯嗯 感谢你^^ 118.160.75.117 03/13 00:03
※ 编辑: dododino 来自: 118.160.75.117 (03/13 00:03)
3F：→ dododino:不过1-b还是不太确定 有办法再清楚一点 118.160.75.117 03/13 00:17
4F：→ dododino:吗 谢谢^^ 118.160.75.117 03/13 00:17