Answer
$2x-6x^2$
Work Step by Step
First distribute the $x^2$
$x^2(1-2x)=x^2-2x^3$
Then look at each term separately using sum/difference rule.
$\frac{d}{dx}(x^2)-\frac{d}{dx}(2x^3)$
Finally, take the derivative using the general power and constant multiple rule.
$2x^1-2*3x^2$