Hi guys it's me first post here and have a strange problem with finding the derivative of :

y = (x^2 + 2x^3/2 - 5x^1/2) divided by x^1/2

The solutions ends up with x^3/2 + 2x - 5 while I end up with x^1/2 + 2x - 5

I basicaly bring up the bottom part and everything is okay except for the first term. The term x^2 to me ends up as x^2- 1/2

I can't seem to figure out why they added it to the exponent 2. Please help.

I can find the derivate of the solution but I can't get to the solution required to be able to move onto finding dy/dx.