f(x,y)=xy+e^x x arctanx/y ,求f(x+y,x-y)

f(x,y)=xy+e^x x arctanx/y ,求f(x+y,x-y) f(x+y)=f(x)+f(y)+2xy xy-e＾x+e＾y=0确定导函数f(x) f(x)=xe^x-e^2x 求导和化到最简单,In(xy)=y^2-1 隐函数求导f(x)=xe^x-e^2xxe^x+e^x-e^x=xe^x但我算到是e^x+xe^x-2e^2x=e^x(1+x-2e^x)In(xy)=y^2-1书上答案是y'=y/2xy^2-x但我算到是y'=2xy^2-y/x 二元函数问题,求f(x,y) 1.f(x+y,x-y)=2(x^2+y^2)e^(x^2-y^2) 2.f(x+y,xy)=2x^2+xy+2y^2 f(xy,x-y)=x^2+y^2+xy;f(x,y)/∂x;f(x,y)/∂y f(xy)=f(x)+f(y),证明f(x/y)=f(x)-f(y) 设xy-e^x=siny确定函数y=f(x),求y' 设z=f(x^2-y^2,e^（xy)),求偏导z/x,偏导z/y arc（tan）平方x的导数这么说吧,f=arct的平方,t=tanx,求f的导数 z=f(x*x-y*y,e的XY次方)求Z对X偏导 Z对Y偏导 f(xy,x-y)=x^2+3xy+y^2,则f(x,y)=? f(xy,x-y)=x^2-xy+y^2.求f(x,y) 设f(x-y,y/x)=xy,则f(xy,x+y)等于什么 设f(x-y,y/x)=xy,则f(xy,x+y)等于什么 f(x+y,x-y)=(x^2-y^2)/2xy,求f(x,y)! f(x+y,x-y)=2xy(x-y),求f(x,y) f(x,y)=xy^2+e^x,则fx(0,1)等于多少