1. ## Please explain this single step in the equation

Differentiate xarctan√x
f'(x)=x*1/(1+((√x)²)*(1/2)x^(-1/2)
= √x/((2(1+x))+arctan√x

My question is this...where did that specific term go? Why is it not in the denominator? I feel as though this is just something I'm not thinking of properly.
Thanks!

2. I believe this will solve your problem:

$x*x^{-\frac{1}{2}} = x^{1 - \frac{1}{2}} = x^{\frac{1}{2}} = \sqrt{x}$

3. Ah, stupid error. Thank you!