Answer
$f'(x) = -6x^{2} + 2x$
Domain: All Real Numbers
Work Step by Step
$f(x) = x^{2} - 2x^{3}$
$f'(x) = (2)x^{2-1} - (3)2x^{3-1}$
$f'(x) = -6x^{2} + 2x$
Domain is all real numbers because there are no values of x that would make f'(x) undefined