The instantaneous rate of change of a function $f(x)$ at a particular point $x = a$ is given by the derivative of the function, $f'(x)$, evaluated at that point. Mathematically, it is represented as:

$\text{Instantaneous rate of change of } f \text{ at } x = a = f'(a)$

To find the instantaneous rate of change of the function $f$ at $x = 2$, we need to:

1. Determine the derivative $f'(x)$.
2. Substitute $x = 2$ into the derivative to find $f'(2)$.

Could you please provide the specific function $f(x)$ so that we can proceed with finding its derivative and then evaluate it at $x = 2$?