Cho hàm số f(x)=(x^2)/(-x+1). Tìm f(30)(x). f(30)(x)=-30!(1-x)-30

A. $f^{\left(30\right)}\left(x\right)=-30!{\left(1-x\right)}^{-30}$

B. $f^{\left(30\right)}\left(x\right)=30!{\left(1-x\right)}^{-31}$

C. $f^{\left(30\right)}\left(x\right)=30!{\left(1-x\right)}^{-30}$

D. $f^{\left(30\right)}\left(x\right)=-30!{\left(1-x\right)}^{-31}$