Differentiate the following with respect to $x\text{. }$

$\sqrt{x}-\frac{1}{\sqrt{x}}$

• A

  $\frac{1}{2\sqrt{x}}\left(1+\frac{1}{x}\right)$

• B

  $\frac{1}{2\sqrt{x}}\left(1-\frac{1}{x}\right)$

• C

  $\frac{1}{\sqrt{x}}\left(1+\frac{1}{x}\right)$

• D

  $\frac{1}{2\sqrt{x}}\left(1+\frac{1}{2x}\right)$