Question

Найти производную: 3sin(2x+п/2)

Answer 1

$f(x)=3sin(2x+\frac{\pi}{2})=3cos(2x)\\\\ f'(x)=[3cos(2x)]'=3*[cos(2x)]'=3*[-sin(2x)]*[2x]'=\\\\ =-3sin(2x)*[2]=-6sin(2x)$