Answer
$r' = -12x^{-2} +12x^{-4} - 4x^{-5}$
$r'' = 24x^{-3} - 48x^{-5} + 20x^{-6}$
Work Step by Step
$r = \frac{12}{x} - \frac{4}{x^{3}} + \frac{1}{x^{4}}$
(Theta is replaced with x, just for convenience.)
$r = 12x^{-1} -4x^{-3} +x^{-4}$
$r' = -12x^{-2} +12x^{-4} - 4x^{-5}$
$r'' = 24x^{-3} - 48x^{-5} + 20x^{-6}$
