A particle undergoes a one-dimensional motion such that its velocity varies according to v x = β x - 2 n ,…

A particle undergoes a one-dimensional motion such that its velocity varies according to $v\left(x\right)\mathit{=}\beta x^{\mathit{-}2n}$, where $\beta$ and $\mathit{\text{n}}$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$ is given by