单项选择题

已知Z=xf(y/x)+2yg(x/y),其中f,g均为二阶可导函数,求az/ax,a²z/axay?()

A.f(u)-f'(u)/x+2g'(v);f(u)-f'(u)/x+2g'(v)
B.f(u)-f'(u)/x+3g'(v);f(u)-f'(u)/x+2g'(v)
C.f(u)-f'(u)/x+1g'(v);f(u)-f'(u)/x+2g'(v)
D.f(u)-f'(u)/x+2g'(v);f(u)-f'(u)/x+4g'(v)