Question

求下列两个隐函数的导数dy／dx

Answer 1

第一个,两边对x求导有

y+xy'= e^(x+y) * (1+y')

整理有 dy/dx = y' = (e^(x+y)-y)/(x-e^(x+y))

第二个,两边对x求导有

y'= -(e^y+xy'e^y)

整理有 dy/dx = y' = -e^y/(1+xe^y)