Applicare la formula: $\frac{d}{dx}\left(ab\right)$$=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right)$, dove $d/dx=\frac{d}{dt}$, $ab=t^2\sin\left(t\right)$, $a=t^2$, $b=\sin\left(t\right)$, $dx=dt$ e $d/dx?ab=\frac{d}{dt}\left(t^2\sin\left(t\right)\right)$

Applicare la formula: $\frac{d}{dx}\left(x^a\right)$$=ax^{\left(a-1\right)}$, dove $a=2$ e $x=t$

Applicare la formula: $a+b$$=a+b$, dove $a=2$, $b=-1$ e $a+b=2-1$

Applicare l'identità trigonometrica: $\frac{d}{dx}\left(\sin\left(\theta \right)\right)$$=\cos\left(\theta \right)$, dove $x=t$