Question

Найти производную функции.
1) y=2х³+3sinx+³√x²
2) y=ecosx

Answer 1

$1) y=2x^3+3sinx+ sqrt[3]{x^2}$
$displaystyle y'=6x^2+3cosx+ frac{2}{3}x^{-1/ 3}=6x^2+3cosx+ frac{2}{3 sqrt[3]{x} }$

$2) y=ecosx$
$y'=e'cosx+e(cosx)'=-esinx$