Answer
Simplify
$\frac{3}{2}x^{1/2}+2x^{-1/2}-\frac{3}{2}x^{-3/2}$
Work Step by Step
First rewrite as
$x^{3/2}+4x^{1/2}+3x^{-1/2}$
Then differentiate using the power and constant multiple rule. Keep the constant, bring down the original power (n), and multiply by $x^{n-1}$
$\frac{3}{2}x^{1/2}+4*1/2x^{-1/2}-3*1/2x^{-3/2}$