函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .

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函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .函数y=y(x)由方程e^x    -   e^y    -  xy  =0  确定,  求dy/dx  .

函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .
函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .
函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .

函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .
同意楼上的,
两边同时微分
e^xdx-e^ydy-xdy-ydx=0
所以
dy/dx=(e^x-y)/(e^y+x)

两边同时对x求导,e^x-e^y*y'-(y+xy')=0,就可以求出来了

大学隐函数知识,很简单