Question

Найдите производную y=(2 cosx)^2/3

Answer 1

$y`= \frac{2}{3}\cdot (2cosx) ^{ \frac{2}{3}-1 }\cdot (2cosx)`= \frac{2}{3}\cdot (2cosx) ^{ \frac{2}{3}-1 }\cdot (-2sinx)= \frac{-2sinx}{ \sqrt[3]{2cosx} }$