Câu hỏi 33.1

\(y = {\left( {x - 2} \right)^{11}}{\left( {1 - x} \right)^{21}}\)

\(\begin{array}{l}y' = 11{\left( {x - 2} \right)^{10}}{\left( {1 - x} \right)^{21}} - 21{\left( {x - 2} \right)^{11}}.{\left( {1 - x} \right)^{20}}\\\,\,\,\,\, = {\left( {x - 2} \right)^{10}}{\left( {1 - x} \right)^{20}}\left[ {11\left( {1 - x} \right) - 21\left( {x - 2} \right)} \right]\\\,\,\,\,\, = {\left( {x - 2} \right)^{10}}{\left( {1 - x} \right)^{20}}\left[ {11 - 11x - 21x + 42} \right]\\\,\,\,\,\, = {\left( {x - 2} \right)^{10}}{\left( {1 - x} \right)^{20}}\left[ {53 - 32x} \right]\end{array}\)

Chọn C.