作业帮f(x^2-y^2,x-y)=x+y+x^2-xy,求fy(x,y)的导数.
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f(x^2-y^2,x-y)=x+y+x^2-xy,求fy(x,y)的导数.
f(x^2-y^2,x-y)=x+y+x^2-xy,求fy(x,y)的导数.
f(x^2-y^2,x-y)=x+y+x^2-xy,求fy(x,y)的导数.
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
x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2
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