Compute the derivative of the function

f$($x$)=1$x$2$x$+2.$f$($x$)=1$x$2$x$+2.$

$1($x$2$x$+2)21($x$2$x$+2)2$

$1($x$2$x$+2)21($x$2$x$+2)2$

$2$x$+1($x$2$x$+2)22$x$+1($x$2$x$+2)2$

$2$x$($x$2$x$+2)22$x$($x$2$x$+2)2$