$$\displaystyle\frac{d}{d x } \left(2 { e }^{ \frac{ 1 }{ x } } \right)$$
$-\frac{2e^{\frac{1}{x}}}{x^{2}}$
$\frac{2\left(2x+1\right)e^{\frac{1}{x}}}{x^{4}}$