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

  • Thread starter cgrumiea
  • Start date
  • #1
4
0

Homework Statement


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


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)))] * [(-[tex]\sqrt{(1+x)}[/tex]/2*[tex]\sqrt{1-x}[/tex])-([tex]\sqrt{1-x}[/tex]/2*[tex]\sqrt{1+x}[/tex])]

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
35,231
7,053
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.
 

Related Threads on Derivative: arctan(sqrt((1-x)/(1+x)))

  • Last Post
Replies
3
Views
41K
  • Last Post
Replies
5
Views
67K
Replies
2
Views
1K
  • Last Post
Replies
5
Views
9K
  • Last Post
Replies
5
Views
25K
  • Last Post
Replies
11
Views
4K
  • Last Post
Replies
8
Views
38K
  • Last Post
Replies
1
Views
10K
Top