Original: If f(x)=2 (Root(x))ln(x), find f'(x).

u' = 1/2*2 (x^(1/2-1) = x^-1/2= 1/x^1/2

v' ln(x) = 1/x

Did the product rule.... and got

My answer was 1/x^1/2*(ln(x)) + 1/x*2(x^1/2)

I typically get these types of problems right but I just cant figure out what I did wrong... If anyone can spot my error help would be greatly appreciated!!