Question

Вычислить производную функции

у= _______x_____
sin x + cos x

Answer 1

f′(x)=(xsin(x)+cos(x))′=
=(xsin(x))′+(cos(x))′=
=sin(x)−x⋅(sin(x))′sin2(x)+(−sin(x))=
=sin(x)−x⋅cos(x)sin2(x)+(−sin(x))
Ответ:f′(x)=sin(x)−x⋅cos(x)sin2(x)+(−sin(x))