[考古] 交大科管
1. suppose f is continuous and symmetric to y-axis,f(0)=2,f(1)=1,
f'(x)<0 (這個<我改的 題目本來是> 感覺出錯了)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 >
麻煩解答了 謝謝~
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◆ From: 118.160.75.117
推
03/12 23:32, , 1F
03/12 23:32, 1F
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03/13 00:03, , 2F
03/13 00:03, 2F
※ 編輯: dododino 來自: 118.160.75.117 (03/13 00:03)
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03/13 00:17, , 3F
03/13 00:17, 3F
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03/13 00:17, , 4F
03/13 00:17, 4F