sin(xy)=x+y,求dy

来源：学生作业帮助网 编辑：作业帮 时间：2024/07/06 12:12:24
sin(xy)=x+y,求dy
x)+ӨԴЮy)&H~ XbΧwV埮ߣ_ ԨԮJOд53/rΧ3.Rk@VBy``X Xgs:V#RW@VWRa_\ge

sin(xy)=x+y,求dy
sin(xy)=x+y,求dy

sin(xy)=x+y,求dy
sin(xy)=x+y 两边对x求导 cos(xy)(y+x*dy/dx)=1+dy/dx
移项变换 dy/dx (cos(xy)-1)=1-ycos(xy)
dy/dx=[1-ycos(xy)]/[xcos(xy)-1]
有 dy={[1-ycos(xy)] / [xcos(xy)-1]}*dx