Complex Derivative (for me, anyways)

y=$\displaystyle \frac{3}{2}(\sqrt{x}-\frac{1}{\sqrt{x^5}})+\frac{1}{2}(\frac{1}{\sqrt{x }}-\frac{1}{\sqrt{x^3}})$

So I converted it to:

$\displaystyle \frac{3}{2}(x^{1/2}-x^{-5/2})+\frac{1}{2}(x^{-1/2}-x^{-3/2})$

Then I took the derivative to get:

$\displaystyle \frac{3}{2}(\frac{1}{2}x^{-1/2}+\frac{5}{2}x^{-7/2})+\frac{1}{2}(\frac{-1}{2}x^{-3/2}+\frac{3}{2}x^{-5/2})$

Then I simplified it to:

$\displaystyle \frac{3}{4}(x^{-1/2}+5x^{-7/2})+\frac{1}{4}(-x^{-3/2}+3x^{-5/2})$

This doesn't match the answer in the back of the book, does anyone see any errors? Thank You.