来自秦道渝的问题
设函数y=y(x)由方程ex+y+cos(xy)=0确定,则dydx=______.
设函数y=y(x)由方程ex+y+cos(xy)=0确定,则dydx=______.
1回答
2020-05-20 21:24
设函数y=y(x)由方程ex+y+cos(xy)=0确定,则dydx=______.
设函数y=y(x)由方程ex+y+cos(xy)=0确定,则dydx=______.
在方程ex+y+cos(xy)=0左右两边同时对x求导,得:
ex+y(1+y′)-sin(xy)•(y+xy′)=0,
化简求得:
y′=dydx=ysin(xy)−e