Quotient rule: f(x) = (vu'-uv')/v2 where u is numerator and v is denominator.
So f'(x) = [(x1/2+1)*(1/2*x-1/2) - (x1/2-1)*(1/2*x-1/2)] / (x1/2+1)2 --- plug into formula, careful to put in correct numbers
= [(1/2 + 1/2*x-1/2) - (1/2 + 1/2*x-1/2)] / (x1/2+1)2 ---- expand topline, be sure to...