If $R$ denotes the reaction of the body to some stimulus of strength $x$, the \ sensitivity $S$ is defined to be the rate of change of the reaction with respect to $x$. A particular example is that when the brightness $x$ of a light source is increased, the eye reacts by decreasing the area $R$ of the pupil. The experimental formula $$R = \frac{37+21 x^{3}}{1+0.5 x^{3}}$$ can be used to model the dependence of $R$ on $x$ when $R$ is measured in square millimeters and $x$ is measured in appropriate units of brightness.

Find the sensitivity corresponding to $x=2$.

Sensitivity =