来自何翔的问题
设y=y(x)是由方程cos(x+y)+y=1所确定的函数,求导数dy/dx
设y=y(x)是由方程cos(x+y)+y=1所确定的函数,求导数dy/dx
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2020-05-20 16:44
设y=y(x)是由方程cos(x+y)+y=1所确定的函数,求导数dy/dx
设y=y(x)是由方程cos(x+y)+y=1所确定的函数,求导数dy/dx
cos(x+y)+y=1两边同时对x求导
-(1+y~)sin(x+y)+y~=0
可得:
=(1+y~)sin(x+y)
=sin(x+y)/(1-sin(x+y))