设y=y(x)是由方程ex-ey=sin(xy)所确定的隐函数,求微分dy.
在ex-ey=sin(xy)两边对x求导,得 ex-eydy/dx=cos(xy)•(y+xdy/dx) dy/dx=ex-ycos(xy)/ey+xcos(xy) 即 dy=[ex-ycos(xy)/ey+xcos(xy)]dx.
设y=y(x)是由方程ex-ey=sin(xy)所确定的隐函数,求微分dy.
在ex-ey=sin(xy)两边对x求导,得 ex-eydy/dx=cos(xy)•(y+xdy/dx) dy/dx=ex-ycos(xy)/ey+xcos(xy) 即 dy=[ex-ycos(xy)/ey+xcos(xy)]dx.