Question

derivar f(x) = sen^3x

Answer 1

$seja\:\:\:y=g(u(x))\implies\frac{df}{dx}=\frac{dy}{du}*\frac{du}{dx}\iff g'(u(x)).u'(x)\\\\\\\frac{d}{dx}(sen^3x)=\frac{d}{dx}(u^3).\frac{du}{dx}=3u^2.cos(x)=3sen^2(x).cos(x)$