求下列方程所确定的函数的导数ysinx-cos(x-y)=0
求下列方程所确定的函数的导数ysinx-cos(x-y)=0
数学人气:616 ℃时间:2020-05-14 03:30:30
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ysinx=cos(x-y)同时求导数y'sinx+ycosx=(x-y)'sin(y-x)y'sinx+ycosx=(1-y')sin(y-x)y'sinx+ycosx=sin(y-x)-y'sin(y-x)y'sinx+y'sin(y-x)=sin(y-x)-ycosxy'[sinx+sin(y-x)]=sin(y-x)-ycosxy'=[sin(y-x)-ycosx]/[sinx+...
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