# Derivative: arctan(sqrt((1-x)/(1+x)))

## Homework Statement

Find the derivative:
arctan$$\sqrt{(1-x)/(1+x)}$$

## Homework Equations

Chain Rule, Quotient Rule

## The Attempt at a Solution

I've gotten to a point where I feel like I either don't know how to simplify from this point, or I've done something wrong:
[1/(1+((1-x)/(1+x)))] * [(-$$\sqrt{(1+x)}$$/2*$$\sqrt{1-x}$$)-($$\sqrt{1-x}$$/2*$$\sqrt{1+x}$$)]

## Answers and Replies

Mark44
Mentor
It looks about right (I didn't check that closely), but I don't understand some of what you have shown, namely the parts where it looks like you're dividing by 2.

Your derivative should look like this:
1/(1 + (sqrt(quotient in radical))^2) * 1/2(quotient in radical)^(-1/2) * (derivative of quotient inside radical)

The first factor you show looks fine, but I don't understand what you have after that.