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f(x^2-y^2,x-y)=x+y+x^2-xy,求fy(x,y)的导数.
人气:271 ℃ 时间:2020-04-12 18:59:31
解答
因 f(x^2-y^2,x-y)=x+y+x^2-xy =(x^2-y^2)/(x-y) +[(x^2-y^2)+(x-y)^2 ] /2
所以f(x,y)=x/y+(x+y^2)/2,
fy(x,y)= -x / (y^2)+y
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