Question

Найдите производную функции g(x)=x^3 cos(3x+1)​

Answer 1

Ответ:

Объяснение:

g(x)=x³*cos(3x+1)​

g'(x)=(x³*cos(3x+1)​)'=(x³)'*cos(3x+1)+x³*(cos(3x+1))'=

=3x²*cos(3x+1)+x³*(-sin(3x+1)*(3x+1)'=

=3x²*cos(3x+1)-x³*sin(3x+1)*3=3x²*(cos(3x+1)-x*sin(3x+1)).