Chapter 3.5, Problem 102E

To determine

To calculate: The value of $T\left(0.95\right)$ and $T^{\prime }\left(0.95\right)$ then explain it where $T\left(p\right)$ represents the time taken to archive one second in spaceship in the perspective of observer who is stationary and p is the speed of warp. The function is $T\left(p\right)=\frac{1}{\sqrt{1-p^2}}$ here $0\le p<1$. The speed of warp $1$ is the speed of light.