Answer
$y'' = \frac{50}{(5x+1)^{3}}$
Work Step by Step
$y = \frac{1}{(5x+1)}$
$y = (5x+1)^{-1}$
$y' = (-1)(5x+1)^{-2}(5)$
$y' = (-5)(5x+1)^{-2}$
$y'' = ((-5) \times (-2))(5x+1)^{-3}(5)$
$y'' = 10(5x+1)^{-3}(5)$
$y'' = 50(5x+1)^{-3}$
$y'' = \frac{50}{(5x+1)^{3}}$