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

• A

  $-2{\mathrm{n\beta }}^2{\mathrm{x}}^{-4\mathrm{n}-1}$

• B

  $-2{\mathrm{n\beta }}^2{\mathrm{x}}^{-2\mathrm{n}+1}$

• C

  $-2{\mathrm{n\beta }}^2{\mathrm{x}}^{-4\mathrm{n}+1}$

• D

  $-2{\mathrm{n\beta }}^2{\mathrm{x}}^{-2\mathrm{n}-1}$