[tex]y'=2xf'(x^2-2)\\y'=0\\\Leftrightarrow \left[\begin{array}{l} x=0\\x^2-2=-2\\x^2-2=0\\x^2-2=2 \end{array}\right.\\\Leftrightarrow \left[\begin{array}{l} x=0\\x=\pm \sqrt{2}\\x=\pm2 \end{array}\right.[/tex]
Bảng xét dấu:
$
\begin{array}{c|ccccccccccccc}
x & -\infty & & -2 & & -\sqrt{2} & & 0 & & \sqrt{2} & & 2 & & +\infty \\
\hline
y' & & + & 0 & - & 0 & + & 0 & - & 0 & + & 0 & -
\end{array}
$
Chọn C