Найдите производную: f (x)=x/sin5x

Question

Найдите производную:
f (x)=x/sin5x

Answer 1

F'(x)=((x)' *sin5x-x *(sin5x)' )\(sin5x)^2
f'(x)=(1 * sin5x -x *( 5cos5x) )\ (sin5x)^2
f'(x)=( sin5x - 5x* cos5x)\(sin5x)^2