Question

Derivada de
$f(x)=sen(lne^3^x)$

Answer 1

$\\ F(x) = sen(lne^3^x) = sen(3x) \\ \\ F(x)' = [sen(3x)]'*(3x)' \\ \\ F(x)' = cos(3x)*3 \\ \\ F(x)' = 3Cos(3x)$

Answer 2

$\sf \displaystyle f\left(x\right)=sen\left(ine^{3x}\right)\\\\\\\frac{d}{dx}\left(\sin \left(ine^{3x}\right)\right)\\\\\\=cos \left(ine^{3x}\right)\frac{d}{dx}\left(ine^{3x}\right)\\\\\\\to \boxed{\sf =cos \left(ine^{3x}\right)ine^{3x}\cdot \:3}$