In a control system with a negative unity feedback, the open-loop transfer function is as follows:

Determine the sensitivity of the maximum overshoot percentage of the closed-loop system's response to a unit step input with respect to the damping ratio \(\left(S_{\xi}^{O . S}ight)\) around the rated damping ratio \(\left(\xi=\frac{\sqrt{2}}{2}ight)\).

1) \(-2 \pi\)
2) \(-\pi\)
3) \(2 \pi\)
4) \(\pi\)

G(s) = w s(s+25mm)