Question

Найдите производную функции:
3-$\frac{1}{3}$ * cosx

Answer 1

$\frac{d}{dx}(3-\frac{1}{3}\cos (x))=\\\\=\frac{d}{dx}(3)-\frac{d}{dx}(\frac{1}{3}\cos (x))\\\\=0-\frac{1}{3}\frac{d}{dx}(\cos (x))=\\\\=-(-\frac{1}{3}(-\sin (x)))=\\\\=\frac{1}{3}\sin (x)=\frac{sin (x)}{3}$