Cho hàm số \(f\left( x \right) = \frac{{{x^2}}}{{...

Câu hỏi: Cho hàm số \(f\left( x \right) = \frac{{{x^2}}}{{ - x + 1}}.\) Tìm \({f^{\left( {30} \right)}}\left( x \right).\)

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