Answer
$y′ = (36x + 1)(6x + 1)^4$
Work Step by Step
$y = x(6x + 1)^5$
Use the product rule:
$y′ = (x)(5)(6x + 1)^4(6) + (6x + 1)^5(1)$
$y′ = 30x(6x + 1)^4 + (6x + 1)^5$
Factor out $(6x + 1)^4$ :
$y′ = (6x+1)^4[30x + (6x + 1)]$
$y′ = (6x+1)^4[30x + 6x + 1]$
$y′ = (36x + 1)(6x+1)^4$
