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设y=arctan(x-y),则dy=
人气:365 ℃ 时间:2020-03-18 18:09:29
解答
设y=arctan(x-y),则dy=
设F(x,y)=y-arctan(x-y)=0;
则dy/dx=-(∂F/∂x)/(∂F/∂y)=-{-1/[1+(x-y)²]}/{1+1/[1+(x-y)²]}=1/[2+(x-y)²]
故dy=dx/[2+(x-y)²]
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