Question

求此函数的微分 y=sinxy

Answer 1

问：求此函数的微分 y=sinxy

答：稍等

答：解析：y=sin(xy)y'=cos(xy)●(xy)'y'=cos(xy)●(y+xy')y'[1-xcos(xy)]=ycos(xy)y'=ycos(xy)/[1-xcos(xy)]

问：怎么求的

问：第三步怎么来的

答：稍等

答：y=sin（xy）dy=d(xy)*cos(xy) =(ydx+xdy)cos(xy)dy-(xcos(xy))dy=ydx dy=y/[1-xcos(xy)] dx

问：看不懂啊

答：求此函数的微分 y=sinxyy=sin（xy）dy=d(xy)*cos(xy)=(ydx+xdy)cos(xy)dy-(xcos(xy))dy=ydxdy=y/[1-xcos(xy)] dx

答：带入即可

问：哪来的1啊

答：带入法

问：什么意思

答：稍等

答：解析：y=sin(xy)y'=cos(xy)●(xy)'y'=cos(xy)●(y+xy')y'[1-xcos(xy)]=ycos(xy)y'=ycos(xy)/[1-xcos(xy)]