Applicare la formula: $\frac{d}{dx}\left(ab\right)$$=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right)$, dove $d/dx=\frac{d}{dx}$, $ab=xe^{\left(5^x\right)}$, $a=x$, $b=e^{\left(5^x\right)}$ e $d/dx?ab=\frac{d}{dx}\left(xe^{\left(5^x\right)}\right)$

Applicare la formula: $\frac{d}{dx}\left(x\right)$$=1$

Applicare la formula: $\frac{d}{dx}\left(e^x\right)$$=e^x\frac{d}{dx}\left(x\right)$, dove $x=5^x$

Applicare la formula: $\frac{d}{dx}\left(a^x\right)$$=a^x\frac{d}{dx}\left(x\right)\ln\left(a\right)$, dove $a=5$

Applicare la formula: $\frac{d}{dx}\left(x\right)$$=1$