设xy等于e的x+y次方确定了y=y(x)求dy/dx

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设xy等于e的x+y次方确定了y=y(x)求dy/dx

设xy等于e的x+y次方确定了y=y(x)求dy/dx
设xy等于e的x+y次方确定了y=y(x)求dy/dx

设xy等于e的x+y次方确定了y=y(x)求dy/dx
xy=e^(x+y) 两边同时求导数
y+xy'=e^(x+y)(1+y')
y'[x-e^(x+y)]=e^(x+y)-y
y'=[e^(x+y)-y]/[x-e^(x+y)]