Найти производную 3х(6х-2)^2

Question

Найти производную 3х(6х-2)^2

Answer 1

Производная произведения
(uv)' = u'v + v'u

   (3x)'(6x - 2)^2 + ((6x - 2)^2)'3x =
= 3(6x - 2)^2 + 2(6x - 2)(6x - 2)' 3x =
= 3(6x - 2)^2 + 2(6x - 2)*6*3x =
= 3(6x - 2)^2 + 36x (6x - 2)