设y等于Y括号X是由方程e的x方减e的y方等于sin括号xy所确定的隐函数,求微分dy
问题描述：
设y等于Y括号X是由方程e的x方减e的y方等于sin括号xy所确定的隐函数,求微分dy
答
e^x-e^y=sin(xy)
e^x-e^y*y'=cos(xy)*(y+xy')
y'=(e^x-ycos(xy))/(e^y+xcos(xy))
dy=(e^x-ycos(xy))/(e^y+xcos(xy)) dx