题目

y=cos（xy）-x 求微分

提问时间：2021-03-22

答案

y'=-sin(xy)*(xy)'-1
y'=-sin(xy)(y+xy')-1
y'=-ysin(xy)-xy'sin(xy)-1
把y'弄到一边去
y'=(-ysin(xy)-1)/(1+xsin(xy))
dy=(-ysin(xy)-1)/(1+xsin(xy))dx