# Please explain this single step in the equation

• Mar 10th 2011, 02:35 PM
biozeta
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!
• Mar 10th 2011, 02:45 PM
Aryth
I believe this will solve your problem:

$x*x^{-\frac{1}{2}} = x^{1 - \frac{1}{2}} = x^{\frac{1}{2}} = \sqrt{x}$
• Mar 11th 2011, 04:11 AM
biozeta
Ah, stupid error. Thank you!