# How to differentiate y = ln( 1+x^2)^1/2

1. May 18, 2009

### geffman1

1. The problem statement, all variables and given/known data

hey guys, got a question. how do ya differentiate y=ln(1+x^2)^1/2. any help would be appreciated, thanks

2. Relevant equations

3. The attempt at a solution

2. May 18, 2009

### Staff: Mentor

Re: differentiating

Power rule and chain rule.

3. May 18, 2009

### Cyosis

Re: differentiating

To get the answer you have listed your function must be $\ln \sqrt{1+x^2}$ and not $\sqrt{\ln(1+x^2)}$. You can write $\ln \sqrt{1+x^2}=\frac{1}{2}\ln (1+x^2)$, perhaps this form is less intimidating?

4. May 19, 2009

### geffman1

Re: differentiating

so the 1/2 just stays out the front without it being differentiate, i thought it dissapeared? thanks for the replys

5. May 19, 2009

### Hurkyl

Staff Emeritus
Re: differentiating

Go check your rules of differentiation again....