Question

60 баллов ! Найдите значение производной

Answer 1

$f(x)=sin\frac{x}{3}\\\\f'(x)=cos\frac{x}{3}\cdot (\frac{x}{3})'=\frac{1}{3}\cdot cos\frac{x}{3}\\\\f'(\pi )=\frac{1}{3}\cdot cos\frac{\pi}{3}=\frac{1}{3}\cdot \frac{1}{2}=\frac{1}{6}$

Answer 2

y'= (sin $\frac{x}{3}$ )'= (sin$\frac{x}{3}$)'*($\frac{x}{3}$)'= cos($\frac{x}{3}$) * $\frac{1}{3}$ = $\frac{1}{3}$cos($\frac{x}{3}$)
y'= $\frac{1}{3}$cos($\frac{pi}{3}$)=$\frac{1}{3}$ * $\frac{1}{2}$ = $\frac{1}{6}$