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.
The first line is good, second is good. The third line I have a problem with.
1. Take the first term, we have x^2 with x^1/2 as denom. End result is x^3/2.
2. Take second term, we have 2x^3/2 with x^1/2 as denom. End result is 2x. The way I mathed it was 2x^3/2 - 1/2 and so we get 2/2 which is 1, henc "2x^1 or 2x". Right?
3. So how come with the first term (see 1) we get 3/2 and not just 2/2?