Найдите производную функции y=(8x-1)×sin7x

Question

Найдите производную функции y=(8x-1)×sin7x

Answer 1

(UV)'=U'V+V'U
y'=(8x-1)'sin7x+(8x-1)*(sin7x)'=8sin7x+(8x-1)(7cos7x)=8sin7x+56xcos7x-7cosx