Chapter 3.5, Problem 101E

To determine

To calculate: The value of $L\left(0.95\right)$ and $L^{\prime }\left(0.95\right)$ and explain it where $L\left(p\right)$ represents the length of spaceship from the perspective of observer who is stationary and p is the speed of warp and spaceship length is $100m$ at rest. The function is $L\left(p\right)=100\sqrt{1-p^2}$ here $0\le p<1$. The speed of warp $1$ is the speed of light.