60 баллов ! Найдите значение производной. Created by SweepyLook. algebra-ru

60 баллов ! Найдите значение производной...

August 2021 2 29 Report

60 баллов ! Найдите значение производной

NNNLLL54

Verified answer

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

3 votes Thanks 2

MaggVa

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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( $\frac{pi}{3}$ )= $\frac{1}{3}$ * $\frac{1}{2}$ = $\frac{1}{6}$

2 votes Thanks 1

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