Question

Answer 1

Đặt f'(x)<0

=>\(x\left(x+2\right)^{2022}\left(x^{2023}-1\right)< 0\)

=>\(x\left(x^{2023}-1\right)< 0\)

TH1: \(\left\{{}\begin{matrix}x>0\\x^{2023}-1< 0\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x>0\\x< 1\end{matrix}\right.\)

=>0<x<1

TH2: \(\left\{{}\begin{matrix}x< 0\\x^{2023}-1>0\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x< 0\\x>1\end{matrix}\right.\)

=>Loại

Do đó: f'(x)<0 khi 0<x<1

=>Chọn A