Re: [考古] 98東華
※ 引述《pp20624 (kk)》之銘言:
: 3.find the directional derivative of
: f(x,y) = sinx +e^xy
: at the point ( pi/2 , 0 ) in the direction of v =(1,1).
: 不知如何下手
: 有請大大幫忙 一題也很感謝
1
Let u = --- (1,1).
√2
fx(x,y) = cosx + ye^(xy), fx(pi/2,0) = 0
fy(x,y) = sinx + xe^(xy), fy(pi/2,0) = 1 + pi/2
π 1
D f(pi/2,0) = ( 0 , 1 + --- )‧--- ( 1 , 1 ) = ...
u 2 √2
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◆ From: 140.114.201.140
※ 編輯: mk426375 來自: 140.114.201.140 (06/12 18:21)
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