f(xy,x-y)=x^2+y^2+xy;f(x,y)/∂x;f(x,y)/∂y
问题描述:
f(xy,x-y)=x^2+y^2+xy;f(x,y)/∂x;f(x,y)/∂y
答
由f(xy,x-y)=x²+y²+xy,
=x²-2xy+y²+3xy
=(x-y)²+3xy,
设m=xy, n=x-y,
即f(m,n)=3m+n²
得f(x,y)=3x+y²
f(x,y)对x的偏导数=3,
f(想,y)对y的偏导数=2y.
偏导数符号我不会打.