Question

f(x)= sin5xcos6x-cos5xsin6x
f'(x)=?
помогите очееень срочно

Answer 1

F(x)=sin 5x cos6x- cos5x sin 6x;  F(x)=sin(5x-6x); F(x)=sin(-x); F(x)=-sinx;

F'(x)=f(x);  f(x)=(-sinx)'=-cosx; f'(x)=(-cosx)'=-(-sinx)=sinx

Answer 2

y'(x)=(Sin5x)'Cos6x+Sin5x*(Cos6x)-{Cos5x)'Sin6x-Cos5x(Sin6x)'=5Cos5x*Cos6x-6Sin5x*Sin6x+5Sin5x*Sin6x-6Cos5x*Cos6x=-(Sin5x*Sin6x+Cos5x*Cos6x)