Question

Найти первую производную функции: y=(7x+2)sin(x-2)

Answer 1

(uv)'=u'v+v'u
y'=(7x+2)'sin(x-2)+(7x+2)(sin(x-2))'=7sin(x-2)+(7x+2)cos(x-2)=7sin(x-2)+7xcos(x-2)+2cos(x-2)