此题Z=x/[(X^2+Y^2)^(1/2)]答案是fx(x,y)=(y^2)/[(x^2+y^2)^(3/2)];fy(x,y)=-xy/[(x^2+y^2)^(3/2)],(属于《简明微积分》第二版,李亚杰主编)(最好能用草稿纸写上详细过程。机体字确实看得头晕目眩。见谅!)
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此题Z=x/[(X^2+Y^2)^(1/2)]答案是fx(x,y)=(y^2)/[(x^2+y^2)^(3/2)];fy(x,y)=-xy/[(x^2+y^2)^(3/2)],(属于《简明微积分》第二版,李亚杰主编)(最好能用草稿纸写上详细过程。机体字确实看得头晕目眩。见谅!)
此题Z=x/[(X^2+Y^2)^(1/2)]答案是fx(x,y)=(y^2)/[(x^2+y^2)^(3/2)];fy(x,y)=-xy/[(x^2+y^2)^(3/2)],
(属于《简明微积分》第二版,李亚杰主编)
(最好能用草稿纸写上详细过程。机体字确实看得头晕目眩。见谅!)
此题Z=x/[(X^2+Y^2)^(1/2)]答案是fx(x,y)=(y^2)/[(x^2+y^2)^(3/2)];fy(x,y)=-xy/[(x^2+y^2)^(3/2)],(属于《简明微积分》第二版,李亚杰主编)(最好能用草稿纸写上详细过程。机体字确实看得头晕目眩。见谅!)
fx=(1*√(x^2+y^2)-x*1/(2√(x^2+y^2))*2x)/(x^2+y^2)
=(√(x^2+y^2)-x^2/√(x^2+y^2))/(x^2+y^2)
=y^2/(x^2+y^2)^(3/2)
fy=-x/2*1/(x^2+y^2)^(3/2)*2y
=-xy/(x^2+y^2)^(3/2)
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