Найти производную функции f(x)=(x-4)ctgx - вопрос №48876053 от dkurmanbek 04.04.2021 19:58

Question

Алгебра: Найти производную функции f(x)=(x-4)ctgx

dkurmanbek · Answer

(u*v) = u *v+u*v f (x) = ( (x-4)*ctg(x) ) = (x-4) *ctg(x) + (x-4)*ctg (x) = W(u/v) = (u *v - u*v )/(v^2)ctg (x) = (cos(x)/sin(x)) = ( (cos(x)) *sin(x) - cos(x)*(sin(x)) )/(sin^2(x) = = ( -sin^2(x) - cos^2(x) )/(sin^2(x)) = - 1/(sin^2(x)).W = ctg(x) + (x-4)*(-1/sin^2(x)) = ctg(x) - ( (x-4)/sin^2(x) )....