e^(xy)+sin(x+y)+1=0 隐函数求导e^(xy)+sin(x+y)+1=0 隐函数求导

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e^(xy)+sin(x+y)+1=0 隐函数求导e^(xy)+sin(x+y)+1=0 隐函数求导
e^(xy)+sin(x+y)+1=0 隐函数求导
e^(xy)+sin(x+y)+1=0 隐函数求导

e^(xy)+sin(x+y)+1=0 隐函数求导e^(xy)+sin(x+y)+1=0 隐函数求导
e^(xy)+sin(x+y)+1=0
[e^(xy)]'+[sin(x+y)]'+1'=0'
e^(xy)*(xy)'+cos(x+y)*(x+y)'+0=0
e^(xy)(x'y+xy')+cos(x+y)*(x'+y')=0
e^(xy)(y+xy')+cos(x+y)(1+y')=0
ye^(xy)+xe^(xy)y'+cos(x+y)+cos(x+y)y'=0
[xe^(xy)+cos(x+y)]y'=-ye^(xy)-cos(x+y)
y'=[-ye^(xy)-cos(x+y)]/[xe^(xy)+cos(x+y)]