设f(x-y,y/x)=xy,则f(xy,x+y)等于什么
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 17:37:07
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
设f(x-y,y/x)=xy,则f(xy,x+y)等于什么
设a-b=xy(1),b/a=x+y(2)
联合等式(1)、(2)可得:a=xy/(1-x-y),b=(x²y+xy²)/(1-x-y)
由题意可知f(x-y,y/x)=xy,则有f(a-b,b/a)=ab={xy/(1-x-y)}*{(x²y+xy²)/(1-x-y)}
=(x³y²+x²y³)/(1-x-y)
因为a-b=xy,b/a=x+y,则f(xy,x+y)=f(a-b,b/a)=(x³y²+x²y³)/(1-x-y)
答案:f(xy,x+y)=(x³y²+x²y³)/(1-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
设f(x+y,x-y)=xy,z=(xy,x/y),则dz=
设f(x+y,xy)=x²+y²+xy,则df(x,y)=
设f(x,y)=xe^y+xy,则f(x+y,x-y)=
设f(x+y,xy)=x^2+y^2-xy,则(∂f(x,y))/∂y=
设f(x+y,xy)=x²+y²,则f(x,y)=(?).
设f(x,y)=xy+x/y,则f(x+y,1)=( )
设f(x+y,xy)=x^2+y^2,则f(x,y)
设f(x+y,x-y)=x^2+xy,求f(x,y)
f(xy,x-y)=x^2+3xy+y^2,则f(x,y)=?
设f(x-y,x+y)=xy 求f(x,y)
高数题 设f(x+y,x-y)=x^2-xy,则f(x,y)=多少
f(x+y)=f(x)+f(y)+2xy
设F(xy,y^2/x)=x^2+y^2,求F(y^2/x,xy)
设f(xy,x-y)=x²+y²,则f(x,y)=?设f(x-y,x+y)=xy,求f(x,y) 这两道题是同一种题型 教教呀
设f(x+y,y/x)=x^2+y^2,则f(x,y)=?,f(x-y,xy)=?
设函数f(xy,x+y)=x^2+y^2+xy,求∂f(x,y)/∂x和∂f(x,y)/∂y