Express your ans in positive indices.
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更新1:
ANS錯了
differentiate
2007-09-26 9:12 pm
differentiate of each of the following functions with respect to x.
Express your ans in positive indices.
SEE THIS PHOTO:
http://farm2.static.flickr.com/1202/1441359182_69a9c5cb9c_m.jpg
Express your ans in positive indices.
SEE THIS PHOTO:
http://farm2.static.flickr.com/1202/1441359182_69a9c5cb9c_m.jpg
回答 (2)
2007-09-26 10:43 pm
✔ 最佳答案
As follows~~~圖片參考：http://i182.photobucket.com/albums/x4/A_Hepburn_1990/deri12.jpg?t=1190789003
參考: Myself~~~
2007-09-26 9:25 pm
y=(x+x^1/2)^1/2
dy/dx=d((x+x^1/2)^1/2)/dx
dy/dx=d((x+x^1/2)^1/2)/d(x+x^1/2)乘d(x+x^1/2)/dx<=====by 一次chain rule
跟住個別個
let x+x^1/2=u
dy/dx=d(u^1/2)/du乘d(x+x^1/2)/dx
所以ans=(x+x^1/2)^(-1/2)乘(1+x^(-1/2))
dy/dx=d((x+x^1/2)^1/2)/dx
dy/dx=d((x+x^1/2)^1/2)/d(x+x^1/2)乘d(x+x^1/2)/dx<=====by 一次chain rule
跟住個別個
let x+x^1/2=u
dy/dx=d(u^1/2)/du乘d(x+x^1/2)/dx
所以ans=(x+x^1/2)^(-1/2)乘(1+x^(-1/2))
參考: 自己
收錄日期: 2021-05-02 13:25:37
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