Compute
$D_x x =$ ,
$D^2_x x^2 =$ ,
$D^3_x x^3 =$ ,
$D^4_x x^4 =$ ,
$D^5_x x^5 =$ ,
$D^6_x x^6 =$ .
Do you recognize a pattern?
Compute $D^6_x (2x^6+3x^5+4x^4+5x^3+17x^2-15x+\pi) =$ and
$D^5_x (2x+1)^5 =$ .