1. The problem statement, all variables and given/known data Write the derivative of y = (x2+4x+3)/(x1/2) I got the correct answer, but my question is, why can't I rewrite this as: y = (x^2+4x+3)*(1/x1/2) Then see my attempted solution for the result... 2. Relevant equations y = (x2+4x+3)/(x1/2) 3. The attempt at a solution y = (x^2+4x+3)*(x-1/2) d/dx = (2x+4)*(-1/2x-3/2) The problem is that this seems to drop out a term from the equation, because the answer that I got when treating each term as being divided by x1/2 gave me: d/dx = 1.5x.5+2x-.5-3/(2x(x.5)), which was the answer in the book. Yeesh, sorry this is difficult to read over forums. I tried to use decimals to make it more readable over the forums, but I don't know if it helped. Maybe next time I'll post an image of my work. Sorry. Anyways, when I did the method I show above, I get a different equation entirely because the term drops out due to the constant becoming a 0 in the derivative. However, it seems that I've followed all the laws correctly that I've been taught. That is, why can't I take each term as a derivative, and multiply it by another derivative?