# How do you find the derivative of f(x)= 2/x?

$f ' \left(x\right) = - \frac{2}{x} ^ 2$.
We can use the power rule to differentiate this function, and the fact that $\frac{d}{\mathrm{dx}} c f \left(x\right) = c \frac{d}{\mathrm{dx}} f \left(x\right)$. So
$f ' \left(x\right) = 2 \frac{d}{\mathrm{dx}} \left(\frac{1}{x}\right) = 2 \left(- \frac{1}{x} ^ 2\right) = - \frac{2}{x} ^ 2$.