ysin3x-cos(y-x)=5 y=f(x) 求dy/dx
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ysin3x-cos(y-x)=5y=f(x)求dy/dxysin3x-cos(y-x)=5y=f(x)求dy/dxysin3x-cos(y-x)=5y=f(x)求dy/dx两边取导数得:[ysin3
ysin3x-cos(y-x)=5 y=f(x) 求dy/dx
ysin3x-cos(y-x)=5 y=f(x) 求dy/dx
ysin3x-cos(y-x)=5 y=f(x) 求dy/dx
两边取导数
得:[ysin3x-cos(y-x)]`=0
即:y`sin3x+3ycos3x-sin(y-x)(y`-1)=0
即:y`sin3x-y`sin(y-x)=sin(y-x)-3xcos3x
所以:y`=[sin(y-x)-3xcos3x]/[sin3x-sin(y-x)]
两边对x求导得
y'sin3x+3ycos3x+sin(y-x)*(y'-1)=0
然后整理吧
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