求 e^ex^x 的導數

2011-09-15 6:26 am

圖片參考:http://imgcld.yimg.com/8/n/HA07728396/o/701109140095813873457470.jpg

應該怎樣求番 dy/dx ??

先謝謝

回答 (1)

2011-09-15 6:29 am
✔ 最佳答案
y = e^(xe^x)
lny = xe^x
1/y * dy/dx = e^x + xe^x = (1+x)e^x
dy/dx
= e^(xe^x) (1+x)e^x
= (1+x)e^[(1+e^x)x]
參考: Hope the solution can help you^^”


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